Text, data and digital tools questions, answered

Ethical Screening Cost Calculator NZ 2026/27

Does ethical investing cost you money?

The fee difference does, reliably. The return difference is genuinely uncertain and has run both ways over different periods. On the worked example a screened fund charging 0.40% against 0.25%, with a 0.20% annual return shortfall, costs 0.35% a year, which is $175.00 on $50,000.00 in the first year and $20,175.02 over twenty-five years. Change the return assumption and the answer changes with it, which is why it is an input here rather than a claim.

How much more do screened funds charge?

It varies, and the direction is consistent: screening costs money to run. Someone has to define the criteria, research every holding against them, apply exclusions and keep the list current, and that work is paid for out of the fee. On the worked example the difference is 0.15%, or $75.00 a year on $50,000.00. Check the actual figures on both funds' documents rather than assuming a typical gap.

How much does a screened fund need to outperform to break even?

Exactly its fee disadvantage. On the worked example that is 0.15% of gross outperformance a year, which is a smaller hurdle than most people assume. If a screened fund's excluded sectors have a poor decade, it clears that easily. If they have a strong one, it does not. Neither outcome is predictable, which is the honest position.

Do screened funds perform worse?

Sometimes, and sometimes better. Excluding sectors makes a fund different from the market, and different means it will lead in some periods and lag in others depending on how the excluded sectors do. Anyone stating confidently that screening costs return, or that it adds return, is arguing rather than measuring. This calculator takes the difference as an input so you can test a range instead of accepting either claim.

What does screening cost over a lifetime?

On the worked example, $20,175.02 over twenty-five years on a $50,000.00 investment, which is 7.88% of the balance the unscreened fund would have reached. Over thirty years it is $33,290.68. The cost compounds, so it grows faster than the horizon does, and the figure is worth knowing precisely because it is large enough to be a real decision rather than a rounding error.

Is screening the same as ESG?

Not quite, and the distinction matters when comparing funds. Screening excludes companies or sectors on stated criteria, such as tobacco, weapons or fossil fuel extraction. Broader responsible investing approaches may tilt towards better-rated companies rather than excluding anything, or engage with companies instead. Two funds described similarly can hold very different things, so read what each one actually excludes before comparing costs.

Does a screened fund change my risk?

Usually yes, and it is not priced here. Excluding sectors leaves the remaining holdings a larger share of the fund, so a screened fund is generally more concentrated than its unscreened equivalent and its sector mix differs. That changes how it behaves rather than simply making it cost more, and a sector or concentration check on both funds is worth doing alongside this comparison.

Should I choose the cheaper fund?

That is not a question a calculator can answer. What this page does is turn a values decision into a priced one, so it can be made deliberately. Plenty of people will see the number and keep the screened fund, which is a coherent position once the cost is known. The only poor outcome is holding either fund without knowing what the choice involves.

Character Counter

What is the difference between characters and characters without spaces?

Characters includes every single character in your text: letters, numbers, punctuation, and spaces. Characters without spaces excludes all whitespace (spaces, tabs, newlines). Most social media platforms count all characters including spaces, so use the 'with spaces' number when checking limits.

What is the character limit for Twitter/X?

Twitter/X allows 280 characters per post. URLs are shortened to 23 characters regardless of length. Emojis count as 2 characters each. Mentions (@username) count toward the limit. Premium users may have higher limits.

What is the Instagram caption character limit?

Instagram captions can be up to 2,200 characters. However, captions are truncated after approximately 125 characters in the feed, with a 'more' link to expand. Hashtags count toward the limit. You can include up to 30 hashtags per post.

How many characters does an SMS allow?

A single SMS message allows 160 characters using standard GSM encoding. If you use special characters or emojis, the limit drops to 70 characters per segment. Messages longer than one segment are concatenated, with each additional segment allowing 153 characters (7 are used for concatenation headers).

Does this tool count emoji characters correctly?

This tool counts emojis as JavaScript sees them, which may differ from platform-specific counting. Most emojis are counted as 2 characters by Twitter. For precise platform-specific counts, check each platform's own character counter.

Colour Blindness Test

What is colour blindness?

Colour blindness (colour vision deficiency) is a reduced ability to distinguish between certain colours. The most common type is red-green colour blindness, which affects approximately 8% of men and 0.5% of women of Northern European descent. It is usually inherited and caused by an absence or malfunction of colour-sensitive cone cells in the retina.

Is this test a medical diagnosis?

No. This is a screening tool only. Online tests cannot replicate the controlled lighting and calibrated colour conditions of a clinical Ishihara test. If this test suggests colour vision deficiency, consult an optometrist or ophthalmologist for a proper clinical assessment using standardised Ishihara plates or the Farnsworth D-15 test.

What are the types of colour blindness?

The main types are: Protanopia (no red cones, red appears dark), Deuteranopia (no green cones, most common), Protanomaly (reduced red sensitivity), Deuteranomaly (reduced green sensitivity, most common form overall), Tritanopia (no blue cones, very rare), and Achromatopsia (total colour blindness, extremely rare). Red-green deficiency accounts for approximately 99% of all colour vision deficiency.

Can colour blindness be cured?

There is currently no cure for inherited colour blindness. However, special EnChroma or Pilestone glasses can enhance colour perception for some people with red-green deficiency. Gene therapy research is ongoing. Acquired colour vision deficiency (from disease, medication, or aging) may sometimes be treatable by addressing the underlying cause.

Does screen brightness affect the test?

Yes. For the most accurate results, set your screen brightness to maximum, use your screen in a well-lit room (avoid direct sunlight on the screen), and ensure your display's colour settings are set to default (no night mode, blue light filter, or colour correction). Different screens display colours differently, which is why this is a screening tool, not a clinical test.

Day Counter

How many days are in a year?

A regular year has 365 days. A leap year has 366 days. Leap years occur every 4 years (divisible by 4), except for century years not divisible by 400. The next leap year is 2028. On average, a year is 365.2425 days.

How do I calculate days between two dates?

Enter your start date and end date in this calculator and it will instantly show the number of calendar days between them, along with the equivalent in weeks, months, hours, and minutes. The calculation accounts for different month lengths and leap years automatically.

Does this include the start and end dates?

By default, the calculator counts from the day after the start date to the end date (exclusive of start, inclusive of end). This is the standard method for counting elapsed days. If you need to include both the start and end dates, add 1 to the result.

How many days until Christmas 2026?

Use this calculator to find the exact number. Enter today's date as the start and 25 December 2026 as the end date. The result updates automatically as each day passes.

How many weeks is 100 days?

100 days is 14 weeks and 2 days (100 divided by 7 = 14 remainder 2). This calculator shows both the total days and the weeks-and-days breakdown automatically.

Lorem Ipsum Generator

What is lorem ipsum?

Lorem ipsum is placeholder text used in design, publishing, and web development to fill a layout with text before the actual content is available. It is derived from a passage in De Finibus Bonorum et Malorum by Cicero, written in 45 BC. The text has been used as placeholder copy since the 1500s and was popularised in the 1960s by Letraset transfer sheets.

Why use lorem ipsum instead of real text?

Lorem ipsum allows designers and developers to focus on layout, typography, and visual design without being distracted by readable content. Real text draws the viewer's attention to the meaning rather than the design. The pseudo-Latin text is close enough to natural English in letter distribution and word length to give a realistic impression of how the final content will look.

How many words are in a lorem ipsum paragraph?

A standard lorem ipsum paragraph contains approximately 50 to 80 words. This generator creates paragraphs of varying lengths to mimic natural text patterns. You can also generate by exact word count or sentence count if you need precise control.

Is lorem ipsum copyrighted?

No. Lorem ipsum text is in the public domain. The original source text by Cicero (45 BC) is far beyond any copyright term. The scrambled version used as placeholder text has no copyright protection. You are free to use lorem ipsum in any project without attribution or licence.

What does lorem ipsum actually say?

The standard lorem ipsum passage is a scrambled excerpt from Section 1.10.32 of De Finibus Bonorum et Malorum by Cicero. It discusses the theory of ethics and the pursuit of pleasure and pain. The text has been altered, with words added, removed, and rearranged, so it does not form coherent Latin.

Word Counter

How are words counted?

Words are counted by splitting text on whitespace (spaces, tabs, newlines). Multiple consecutive spaces are treated as a single separator. Hyphenated words like 'well-known' count as one word. Numbers and abbreviations each count as one word.

Twitter/X allows 280 characters per post. Instagram captions allow up to 2,200 characters. LinkedIn posts allow approximately 3,000 characters, and LinkedIn articles have no practical limit. Facebook posts allow 63,206 characters. TikTok captions allow 2,200 characters.

How is reading time estimated?

Reading time is estimated at 200 words per minute, which is the average adult silent reading speed for non-fiction. A 1,000-word article takes approximately 5 minutes to read. Speaking time (for presentations) is estimated at 130 words per minute.

How are sentences counted?

Sentences are counted by the number of sentence-ending punctuation marks: periods (.), question marks (?), and exclamation marks (!). Abbreviations like 'Dr.' or 'e.g.' may cause slight overcounting. Ellipses (...) are counted as one sentence ending.

How are paragraphs counted?

Paragraphs are counted by splitting text on blank lines (two or more consecutive newlines). A single block of text with no blank lines counts as one paragraph. Empty lines between paragraphs are the standard separator.

16:10 Aspect Ratio Calculator

What is a 16:10 aspect ratio?

A 16:10 aspect ratio means the width is 1.6 times the height. For every 10 units of height there are 16 units of width. It is sometimes written as 8:5 (the simplest whole-number form). The ratio is common in laptop screens and desktop monitors, particularly from the mid-2000s to early 2010s, and has seen a resurgence in modern productivity-focused laptops. Common 16:10 resolutions include 1280x800, 1440x900, 1680x1050, 1920x1200, and 2560x1600.

How do I calculate the height for a 16:10 aspect ratio from a given width?

Divide the width by 1.6 (or equivalently multiply by 10 then divide by 16). For example, a width of 1920 pixels gives a height of 1920 / 1.6 = 1200 pixels. To find the width from a height, multiply the height by 1.6. For example, a height of 900 pixels gives a width of 900 x 1.6 = 1440 pixels.

What is the difference between 16:10 and 16:9?

Both ratios have the same width component (16 units) but 16:10 is taller: the height is 10 units versus 9 units in 16:9. This makes 16:10 screens about 11% taller than a 16:9 screen of the same width. The extra vertical space is useful for documents, code editors, and web browsing. For example, at the same width of 1920 pixels, a 16:9 screen is 1080 pixels tall while a 16:10 screen is 1200 pixels tall, giving 120 extra rows of pixels.

16:9 Aspect Ratio Calculator

What is the 16:9 aspect ratio formula?

The 16:9 aspect ratio means the width is 16 units for every 9 units of height. To find the height from a known width: Height = Width x (9 / 16). To find the width from a known height: Width = Height x (16 / 9). For example, a width of 1920 pixels gives a height of 1920 x 9/16 = 1080 pixels, which is the standard Full HD (1080p) resolution.

What common resolutions use the 16:9 ratio?

The most widely used 16:9 resolutions are: 1280x720 (HD / 720p), 1920x1080 (Full HD / 1080p), 2560x1440 (QHD / 2K / 1440p), 3840x2160 (4K UHD), and 7680x4320 (8K UHD). These are standard for televisions, monitors, laptop screens, smartphones in landscape orientation, YouTube video uploads, and video conferencing platforms.

Why is 16:9 the standard widescreen ratio?

The 16:9 ratio was adopted as the international HDTV standard by the SMPTE (Society of Motion Picture and Television Engineers) and ITU in the 1990s. It was chosen as a compromise between the 4:3 ratio used by older television sets and the wider 2.39:1 cinema aspect ratio, making it possible to display both formats with minimal letterboxing or pillarboxing. Today it is the dominant ratio for monitors, televisions, laptops, tablets, smartphones, and online video platforms including YouTube.

4:3 Aspect Ratio Calculator

What is the 4:3 aspect ratio?

The 4:3 aspect ratio means the width is four units for every three units of height. It is also written as 1.33:1 or as the decimal 1.333... For every 4 pixels (or centimetres, inches, or any other unit) of width, there are exactly 3 units of height. Common 4:3 screen resolutions include 640x480, 800x600, 1024x768, and 1280x960. The ratio was the standard for television and computer monitors before widescreen (16:9) became dominant in the mid-2000s.

How do I calculate the height for a 4:3 width?

To find the height from a known width in a 4:3 aspect ratio, multiply the width by 3 and divide by 4 (or equivalently multiply by 0.75). For example, if the width is 1024 pixels, the height is 1024 x 3 / 4 = 768 pixels. To find the width from a known height, multiply the height by 4 and divide by 3 (or multiply by 1.333). For example, a height of 600 pixels gives a width of 600 x 4 / 3 = 800 pixels.

What screens and formats use the 4:3 ratio?

The 4:3 ratio was the standard for analogue television (including PAL used in New Zealand and Australia), early computer monitors, and VGA/SVGA displays. Classic video game consoles and DVD players also output in 4:3. In photography, the Micro Four Thirds (MFT) camera system uses a 4:3 sensor ratio. Slideshow software and older projectors commonly default to 4:3 as well. Today, many digital cameras offer 4:3 as a capture option alongside 16:9 and 3:2.

Angular Resolution Calculator

What is the Rayleigh criterion?

The Rayleigh criterion is the standard rule for the resolution limit of a circular aperture. Two point sources are just resolvable when the centre of one diffraction disc falls on the first dark ring of the other. The limiting angle is theta equals 1.22 times the wavelength divided by the aperture diameter, in radians.

How do you convert the result to arcseconds?

Multiply the angle in radians by 206,265, since one radian equals about 206,265 arcseconds. For example 6.71 times 10 to the minus 6 radians is about 1.38 arcseconds. Arcseconds are the usual unit for telescope resolution and for the separation of double stars.

Why does a bigger aperture resolve more detail?

Because resolution improves as the aperture diameter grows. The limiting angle is inversely proportional to the diameter, so doubling the aperture halves the smallest angle you can resolve and reveals finer detail. This is the main reason larger telescope mirrors and camera lenses see sharper.

Aspect Ratio Calculator

What is 16:9 aspect ratio in pixels?

16:9 is a widescreen ratio where the width is 1.778 times the height. Common pixel resolutions that use 16:9 include 1280x720 (HD), 1920x1080 (Full HD), 2560x1440 (QHD) and 3840x2160 (4K UHD). Any resolution where width divided by height equals 16/9 is a 16:9 ratio.

How do I find the missing dimension while keeping the aspect ratio?

If you know the original width and height and want to scale to a new width, multiply the new width by the original height and divide by the original width. For example, if 1920x1080 is your original and you want a width of 1280, the new height is 1280 times 1080 divided by 1920 = 720 pixels.

What does aspect ratio mean?

Aspect ratio is the proportional relationship between the width and height of a rectangle, expressed as two numbers separated by a colon such as 16:9 or 4:3. It describes the shape of the rectangle without specifying the actual size. The same 16:9 ratio applies to a 1920x1080 screen and a 3840x2160 screen; only the scale differs.

Audio File Size Calculator

How is the file size of an uncompressed audio file calculated?

For uncompressed audio (PCM, WAV, AIFF), the formula is: File size in bytes = Sample rate (Hz) x Bit depth (bits) x Number of channels x Duration (seconds) / 8. For example, a 3-minute stereo recording at CD quality (44,100 Hz, 16-bit, 2 channels) produces 44100 x 16 x 2 x 180 / 8 = 31,752,000 bytes, approximately 30.3 MB. The division by 8 converts bits to bytes. WAV and AIFF files store audio using this raw PCM method with a small header, so the file size is very close to the raw calculation.

How is the file size of a compressed audio file calculated?

For compressed formats such as MP3, AAC and OGG Vorbis, the file size depends on the bitrate chosen during encoding rather than on the original sample rate and bit depth. The formula is: File size in bytes = Bitrate (bits per second) x Duration (seconds) / 8. A 3-minute MP3 at 128 kbps is 128,000 x 180 / 8 = 2,880,000 bytes, roughly 2.75 MB. Higher bitrates produce better audio quality but larger files. Typical bitrates are 64 to 96 kbps for spoken word and 128 to 320 kbps for music.

Which audio format gives the smallest file size for music?

Compressed formats such as OGG Vorbis and AAC (Advanced Audio Codec) generally produce smaller files than MP3 at the same perceived quality level. For example, an OGG file at 128 kbps often sounds comparable to an MP3 at 192 kbps, resulting in a smaller file. Lossless compression formats such as FLAC reduce file sizes by around 50 to 60 percent compared with WAV, without any quality loss. For the smallest possible file where quality is not a priority, 64 kbps AAC or OGG can achieve acceptable spoken-word audio at under 0.5 MB per minute.

Bandwidth Calculator

How much bandwidth do I need for 100 users?

Multiply the number of users by the average bandwidth each one uses at peak time. If each of 100 users needs 5 Mbps, the total is 500 Mbps. In practice, not all users are active at once, so a contention ratio of 50 to 80 percent is often applied for office networks.

What is throughput versus bandwidth?

Bandwidth is the maximum capacity of a connection in megabits per second. Throughput is the actual data transferred per unit of time, which is almost always less than bandwidth due to protocol overhead, latency, congestion and retransmissions. This calculator uses bandwidth as a theoretical maximum for throughput.

How do I calculate the speed needed to transfer 1 GB in 2 minutes?

Convert 1 GB to megabits: 1,000 MB times 8 equals 8,000 megabits. Divide by the time in seconds: 2 minutes is 120 seconds, so 8,000 divided by 120 equals about 66.7 Mbps. This calculator does that arithmetic for you in the throughput section.

Bandwidth-Delay Product Calculator

What is the bandwidth-delay product?

The bandwidth-delay product (BDP) is the amount of data that can be in transit on a network path at any one moment. It equals the link bandwidth multiplied by the round-trip time (RTT). For example, a 100 Mbps link with a 50 ms RTT has a BDP of 100,000,000 bits/s x 0.050 s = 5,000,000 bits (625,000 bytes or 625 KB). This value tells you how large the TCP receive window needs to be to keep the link fully utilised.

Why does BDP matter for TCP performance?

TCP uses a sliding window mechanism: the sender can only have a certain amount of unacknowledged data in flight at once. If the TCP receive window is smaller than the BDP, the sender must stop and wait for acknowledgements before sending more data, leaving the link under-utilised. Setting the receive window to at least the BDP value ensures the sender can keep the pipe full at all times. On high-bandwidth or high-latency links (often called 'long fat networks' or LFNs), a small default window of 64 KB can be a severe bottleneck.

How do I measure my network RTT?

Round-trip time (RTT) is the time for a packet to travel from your host to the remote destination and back. The simplest way to measure it is with the ping command: open a terminal and type 'ping hostname' or 'ping IP address'. The average value in the ping output is your RTT in milliseconds. For a more accurate baseline, ping several times and average the results, or use tools such as mtr or traceroute for per-hop latency. Your RTT will vary depending on distance, congestion, and routing.

Base32 Encoder & Decoder NZ

What is Base32 used for?

Base32 encodes binary data using 32 case-insensitive characters, avoiding ambiguous ones. It is used for two-factor authentication secret keys, some file-sharing and network addresses, and anywhere a compact, readable, case-insensitive encoding is needed, especially where humans type the codes.

How is Base32 different from Base64?

Base32 uses 32 characters (A to Z and 2 to 7) and is case-insensitive, making it more robust for typing and case-insensitive systems, but about 20 percent longer. Base64 uses 64 characters including lowercase and symbols, so it is more compact but case-sensitive.

Is Base32 secure?

No. Base32 is an encoding, not encryption, so it provides no security at all; anyone can decode it back to the original. It simply offers a safe, readable way to represent binary data as text. Never use it to protect sensitive information.

Base58 Encoder & Decoder NZ

What is Base58?

Base58 encodes data using 58 characters, the alphanumeric set with the confusable 0, O, I and l removed. It is compact like Base64 but easier for people to read and type without error, which is why Bitcoin and other systems use it for addresses and keys.

How is Base58 different from Base64?

Base64 uses 64 characters including symbols and works in neat blocks, so it is slightly more compact but includes easily confused characters. Base58 omits the confusable ones and treats the data as one big number, making it friendlier for humans at a small cost in length.

Is Base58 secure?

No. Base58 is an encoding, not encryption, so it offers no security; anyone can decode it back to the original. It simply provides a compact, human-friendly way to represent data as text. Never use it to protect sensitive information.

Base64 Encoder Decoder

What is Base64 used for?

Base64 is used to safely transmit binary data over channels that only handle plain text, such as email (MIME attachments), embedding images directly in HTML or CSS as data URIs, storing binary data in JSON, and encoding credentials in HTTP Basic Authentication headers. It converts arbitrary bytes to a set of 64 printable ASCII characters.

Does Base64 encrypt data?

No. Base64 is an encoding scheme, not encryption. Anyone who receives Base64-encoded text can decode it trivially. If you need to protect the data, you must encrypt it first and then optionally encode the ciphertext in Base64 for transport. Never treat Base64 as a security measure.

Why does Base64 output end with = or ==?

Base64 works on groups of 3 input bytes (24 bits) and converts them to 4 Base64 characters. If the input is not a multiple of 3 bytes, padding characters (=) are added at the end to make the output a multiple of 4 characters. One = means one byte of padding was needed; two == means two bytes.

Binary Addition Calculator

How does binary addition work?

Binary addition follows the same column-by-column process as decimal addition, but with only two digits (0 and 1). The rules are: 0 + 0 = 0, 0 + 1 = 1, 1 + 0 = 1, and 1 + 1 = 10 (binary for 2, which means write 0 and carry 1). When a carry is involved, 1 + 1 + 1 (carry) = 11 in binary (write 1 and carry 1). You work right to left, adding the digits in each column plus any carry from the previous column.

What is 1101 + 1011 in binary?

1101 (binary) is 13 in decimal and 1011 (binary) is 11 in decimal. Their sum is 24 in decimal, which is 11000 in binary. Working right to left: column 1: 1+1=10, write 0 carry 1; column 2: 0+1+1(carry)=10, write 0 carry 1; column 3: 1+0+1(carry)=10, write 0 carry 1; column 4: 1+1+1(carry)=11, write 1 carry 1; column 5: 0+0+1(carry)=1, write 1. Result: 11000.

What are the four rules of binary addition?

The four fundamental rules of binary addition are: (1) 0 + 0 = 0, (2) 0 + 1 = 1, (3) 1 + 0 = 1, and (4) 1 + 1 = 10 (i.e. 0 with a carry of 1 to the next column). A fifth rule applies when a carry is present: 1 + 1 + 1 = 11 (i.e. 1 with a carry of 1). These rules are implemented in digital circuits by a half adder (for two bits) or a full adder (for two bits plus a carry-in).

Binary Division Calculator

How does binary division work?

Binary division works the same way as decimal long division, but with only two digits: 0 and 1. You work through the dividend from left to right, bringing down one bit at a time. At each step you ask whether the divisor fits into the current partial remainder. If it does, write 1 in the quotient and subtract the divisor; if it does not, write 0. The process continues until all bits of the dividend have been processed. Any remaining partial remainder is the binary remainder.

What is the remainder in binary division?

The remainder in binary division is the value left over after the divisor has been subtracted as many whole times as possible from the dividend. For example, dividing binary 1101 (13) by 10 (2) gives quotient 110 (6) with remainder 1 (1), because 13 divided by 2 is 6 remainder 1. The remainder is always less than the divisor.

Can I divide binary numbers with a remainder of zero?

Yes. When the dividend is exactly divisible by the divisor, the remainder is 0 (binary 0). For example, binary 1100 (12) divided by 11 (3) gives quotient 100 (4) with remainder 0. The calculator will show a remainder of 0 in both binary and decimal in this case.

Binary Multiplication Calculator

How does binary multiplication work?

Binary multiplication follows the same long-multiplication process as decimal, but is simpler because each digit (bit) is either 0 or 1. For each bit in the multiplier (bottom number), you either write a copy of the multiplicand (if the bit is 1) or a row of zeros (if the bit is 0), shifted left by the position of that bit. Once all partial products are written, you add them together using binary addition. The result is the product in binary.

What is 1011 times 1101 in binary?

1011 (decimal 11) multiplied by 1101 (decimal 13) equals 10001111 in binary, which is 143 in decimal. The partial products are: 1011 (1011 x 1), 0000 shifted left 1 (1011 x 0), 101100 shifted left 2 (1011 x 1), and 1011000 shifted left 3 (1011 x 1). Adding all partial products gives 10001111.

Can I multiply binary numbers with fractional parts?

This calculator works with whole binary integers (positive numbers only using the digits 0 and 1). Binary fractions (such as 10.11 in binary) are not supported here. To multiply binary fractions, count the total number of binary places in both numbers, multiply as integers, then place the binary point that many positions from the right of the result.

Binary Subtraction Calculator

How do you subtract binary numbers?

Binary subtraction works column by column from right to left, just like decimal subtraction. The rules are: 0 - 0 = 0; 1 - 0 = 1; 1 - 1 = 0; 0 - 1 requires a borrow from the next column to the left. Borrowing in binary means taking 1 from the next higher bit (worth 2 in the current column) and writing 10 minus 1 = 1. If the minuend (top number) is smaller than the subtrahend (bottom number), the result is negative and equals the two's complement of the absolute difference.

What is the two's complement method for binary subtraction?

Two's complement is an alternative to the borrow method that computers use internally. To subtract B from A using two's complement: (1) find the two's complement of B by inverting all its bits and adding 1; (2) add this result to A using binary addition; (3) if an overflow carry bit is produced, discard it and the result is positive; (4) if there is no overflow carry, the result is negative and equals the two's complement of the sum. Both methods give the same answer.

What happens if the result of binary subtraction is negative?

If you subtract a larger binary number from a smaller one, the result is negative. In decimal this is straightforward, but in binary the sign depends on context. For unsigned integers, a negative result indicates underflow. For signed integers using two's complement representation (as used in virtually all modern computers), the result is stored as the two's complement of the absolute value with the most significant bit set to 1 to indicate a negative number. This calculator shows the signed decimal result and flags when the result is negative.

Bold Text Generator

How does bold text work without any formatting?

The generator swaps each ordinary letter for a lookalike character from the Unicode Mathematical Alphanumeric Symbols block. A bold C, for example, is its own character (U+1D402), not a normal C with styling applied. Because the boldness is baked into the character itself, it survives in plain-text fields such as social bios, usernames and comments where real formatting is stripped out.

Will the bold text show everywhere I paste it?

On most modern phones, browsers and apps it displays fine, because the major system fonts cover the mathematical alphabets. Some older devices, minimal fonts or embedded systems show empty boxes or question marks instead, and a few platforms filter these characters from usernames. Paste a short test into the platform you care about before committing to it.

Is Unicode bold text accessible to screen readers?

Not very. Many screen readers announce each symbol individually, reading something like 'mathematical bold capital c' letter by letter, and some skip the styled words entirely. Styled text is also harder to find with search, because a search for the plain word will not match the symbol version. Use it sparingly for decoration and never for information people must not miss.

Chord Progression Generator

What does I-V-vi-IV actually mean?

The Roman numerals are scale degrees: I is a chord built on the first note of the key, V on the fifth, and so on. Upper-case numerals are major chords and lower-case are minor. In C major, I-V-vi-IV is C, G, Am, F. The power of the notation is that it is key-independent: the same numerals name the same progression in G major (G, D, Em, C) or any other key.

How do I transpose a progression to another key?

Keep the Roman numeral pattern and change the key centre. Each chord keeps its degree and quality but its root moves by the same distance as the tonic. If C, G, Am, F is too low for a singer, moving the key centre up two semitones to D gives D, A, Bm, G: the identical progression, just higher. Capo users do the same thing mechanically by keeping the shapes and moving the capo.

Why does a major key contain minor chords?

Diatonic chords are built by stacking every second note of the scale, and the gaps between scale notes are uneven. Stacking from the first, fourth and fifth degrees of a major scale happens to produce major triads, stacking from the second, third and sixth produces minor triads, and the seventh degree yields a diminished triad. That is why C major contains Dm, Em and Am: the minor chords are baked into the scale itself.

Colour Contrast Checker NZ

What is a good contrast ratio?

WCAG requires at least 4.5 to 1 for normal text and 3 to 1 for large text to meet the AA level, the widely accepted minimum. The stricter AAA level wants 7 to 1 for normal text. Higher ratios are easier to read, with black on white the maximum at 21 to 1.

What is the difference between AA and AAA?

They are two levels of the WCAG accessibility standard. AA is the common target for most websites, needing 4.5 to 1 for normal text. AAA is stricter, needing 7 to 1, and is harder to meet across a whole design but provides the best readability for users with low vision.

What counts as large text?

Under WCAG, large text is roughly 18 point or larger, or 14 point and bold. Because larger text is easier to read, it has a lower contrast requirement: 3 to 1 for AA and 4.5 to 1 for AAA, compared with 4.5 and 7 for normal-sized text.

Colour Palette Generator NZ

What is the difference between a tint and a shade?

A tint is a colour mixed with white, making it lighter and softer. A shade is a colour mixed with black, making it darker and deeper. Both keep the original hue, so a set of tints and shades from one base colour always coordinates.

How do I use these colours in CSS?

Each swatch shows a hex code like #2f6fb0. Copy it straight into your CSS, for example as a background or colour property. Use lighter tints for backgrounds and hover states and darker shades for text and borders to build depth from a single base colour.

How do I keep text readable?

Pair a light tint as a background with a dark shade as the text colour, so there is strong contrast between them. Then check the pair against accessibility guidelines using a contrast checker, aiming for a ratio of at least 4.5 to 1 for normal body text.

Color Picker and Converter

What is a hex colour code?

A hex colour code is a six-digit hexadecimal number prefixed with a hash symbol, such as #FF5733. The first two digits represent the red channel (00 to FF), the next two green, and the last two blue. FF in hex equals 255 in decimal, the maximum value for each channel. Hex codes are the standard format in HTML, CSS and graphic design software.

How do you convert HEX to RGB?

Split the six hex digits into three pairs: RR, GG, BB. Convert each pair from hexadecimal to decimal. For example, #FF5733 splits into FF, 57 and 33. FF in decimal is 255, 57 is 87 and 33 is 51. So the RGB value is rgb(255, 87, 51).

What is the complement of a colour?

The complementary colour is the colour directly opposite on the colour wheel, 180 degrees away. In HSL notation it is the same colour with its hue shifted by 180 degrees. Complementary colour pairs create strong contrast and are widely used in graphic design and web colour schemes.

Colour Picker

What is a HEX colour code?

A HEX code is a six-digit code like #28A745 that describes a colour as three pairs of hexadecimal digits for red, green and blue, each from 00 to FF. It is the most common way to specify colours in web design and CSS.

How do you convert RGB to HEX?

Convert each of the red, green and blue values, which run from 0 to 255, into a two-digit hexadecimal number, then join them with a hash in front. For example, red 40, green 167, blue 69 becomes #28A745.

What is HSL?

HSL stands for hue, saturation and lightness. Hue is the colour's position on the colour wheel in degrees, saturation is how vivid it is as a percentage, and lightness is how light or dark it is. HSL is often easier to adjust by hand than RGB.

CSS Gradient Generator NZ

How do I use the gradient code?

Copy the generated line, such as background: linear-gradient(135deg, #2f6fb0, #28a745); and paste it as the background of any element in your CSS, like a div, button or hero section. It works in all modern browsers with no vendor prefixes needed.

What does the angle mean?

The angle sets the direction of the blend, measured clockwise from straight up. So 0 degrees blends from bottom to top, 90 degrees from left to right, 180 degrees from top to bottom, and 135 degrees runs diagonally from the top-left to the bottom-right, a popular choice.

How do I make a good-looking gradient?

Blends between two closely related colours look subtle and professional, while contrasting colours make a bold statement. A diagonal angle such as 135 degrees often looks the most natural. If text sits over the gradient, check it stays readable across the whole blend.

Cursive Font Generator

How can text be cursive without any formatting?

Each cursive letter is a separate Unicode character, not an ordinary letter with styling on top. The generator swaps your letters for lookalikes from the Mathematical Alphanumeric Symbols block, where full script alphabets were encoded so mathematicians could use script letters as distinct symbols. Because the curly look is part of the character itself, it survives in plain-text fields such as bios, usernames and comments that strip real formatting.

Where will cursive text work when I paste it?

Most modern phones, browsers and social apps display it correctly because mainstream system fonts cover the mathematical script alphabets. Instagram, TikTok, Facebook, X, WhatsApp, Discord and YouTube all generally render it, though a few platforms filter these characters out of usernames, and older devices or minimal fonts may show empty boxes instead. Paste a short test into the platform you care about before relying on it.

Why do numbers stay plain in the cursive output?

Unicode never encoded script digits, so there is nothing cursive to map the numbers 0 to 9 onto and the generator passes them through unchanged, along with punctuation, spaces and macrons. A handful of script letters, including the lowercase e, g and o, were encoded years earlier in the Letterlike Symbols block, so the generator substitutes those characters to keep the alphabet complete.

Decimal to Binary Calculator

How do I convert decimal to binary by hand?

Divide by 2 repeatedly, noting each remainder, then read the remainders from bottom to top.

What is 13 in binary?

1101, which is 8 + 4 + 1.

How are negatives handled?

This calculator shows the magnitude with a minus sign. For signed fixed-width binary, use the two’s complement calculator.

Diceware Passphrase Generator NZ

What is a Diceware passphrase?

It is a password made of several words chosen completely at random, such as correct-harbour-jelly-window. The method, named after using dice to pick words, produces passphrases that are easy to remember but hard to crack, because their strength comes from length and randomness.

Why are random words more secure than a short complex password?

A passphrase of several random words has an enormous number of possible combinations, giving high entropy, yet remains memorable. A short password full of symbols is hard to remember and often follows predictable patterns. Length plus genuine randomness beats complexity for both security and usability.

How many words should I use?

Four words give a reasonably strong passphrase for everyday accounts, while six or more give very strong security suitable for a password manager master password or important accounts. The entropy shown rises with each word, so add more for anything you really need to protect.

Glitch Text Generator

How does glitch text work?

Glitch text, often called Zalgo text, is ordinary text with Unicode combining marks stacked onto each letter. Combining marks are the accents and diacritics used by the world's writing systems, and each one is defined to attach to the character before it rather than take its own space. Stack several above, through and below one letter and the result looks corrupted, yet it is still plain text you can copy, paste and delete like any other characters.

Will glitch text paste correctly everywhere?

Most modern browsers, phones and chat apps render combining marks, so the effect survives in Discord messages, social bios and comments. Some platforms strip or limit combining marks, username fields often reject them, and single-line boxes can clip the tall stacks. Rendering also varies between fonts, so the same glitch text looks messier on some devices than others. Paste a short test into the platform you care about before committing to it.

Why does the same input always produce the same glitch text?

This generator picks marks by stepping through its mark lists in a fixed repeating pattern rather than choosing randomly, so identical text at identical settings always gives an identical result. That makes a glitched name or tag reproducible later. For a different look at the same intensity, change the position setting or alter the text slightly and the pattern shifts with it.

Gothic Font Generator

How does gothic text work without installing a font?

The generator swaps each ordinary letter for a lookalike character from the Unicode Mathematical Alphanumeric Symbols block, which contains complete Fraktur and bold Fraktur alphabets. A gothic G, for example, is its own character (U+1D50A), not a normal G with a font applied. Because the blackletter styling is baked into the character itself, it survives in plain-text fields such as social bios, usernames and comments where real formatting is stripped out.

Why do some gothic capitals look slightly different?

Five Fraktur capitals, C, H, I, R and Z, were added to Unicode long before the rest of the alphabet because mathematicians already used them as symbols, so they live in the older Letterlike Symbols block. The generator substitutes those original characters (U+212D, U+210C, U+2111, U+211C and U+2128) to avoid gaps, and depending on your device font they can render with slightly different proportions from the surrounding letters.

Will gothic text display everywhere I paste it?

On most modern phones, browsers and apps it displays fine, because the major system fonts cover the mathematical alphabets. Some older devices or minimal fonts show empty boxes instead, and a few platforms filter these characters from usernames. Screen readers also tend to announce each symbol letter by letter, so keep gothic text for short decorative touches and never for essential information.

Hash Generator

What is a SHA-256 hash?

SHA-256 is a cryptographic hash function in the SHA-2 family. It takes any input of any length and produces a fixed 256-bit (32-byte) output expressed as a 64-character hexadecimal string. The same input always produces the same hash, but even a single character change produces a completely different output. It is used in digital signatures, data integrity verification, password storage and blockchain systems.

Can a SHA-256 hash be reversed?

No. SHA-256 is a one-way function: given the hash you cannot computationally recover the original input. This is what makes it useful for storing passwords and verifying data integrity. An attacker can only find the original by trying all possible inputs, which is computationally infeasible for strong inputs.

Is this hash generator safe to use?

Yes. This tool uses the browser's built-in SubtleCrypto Web API to compute hashes entirely on your device. Nothing you type is sent to any server. For sensitive data such as passwords or private keys, using a browser-based tool is significantly safer than an online tool that sends your input to a remote server.

Hash Generator (MD5, SHA-1, SHA-256, SHA-512)

What is the difference between MD5 and SHA-256?

MD5 produces a 128-bit (32-character hex) digest and was once widely used for integrity checking, but it is now considered cryptographically broken for security-sensitive purposes because collisions can be generated in seconds with modern hardware. SHA-256 produces a 256-bit (64-character hex) digest and is part of the SHA-2 family standardised by NIST. SHA-256 is resistant to collision attacks and is safe for digital signatures, certificate fingerprints, password hashing (combined with a salt), and data integrity verification. Use MD5 only for non-security purposes such as quick file-change detection in trusted environments.

Can I reverse a hash back to the original text?

No. Cryptographic hash functions are one-way functions: given a hash output, there is no efficient algorithm to recover the original input. This is the core property that makes them useful for storing passwords (you store the hash, not the plaintext). Short or common inputs can sometimes be looked up in pre-computed rainbow tables, which is why passwords must be hashed with a unique random salt before hashing. This tool runs all computation in your browser and never sends your input to any server.

When should I use SHA-512 instead of SHA-256?

SHA-512 produces a 512-bit (128-character hex) digest, double the output length of SHA-256. On 64-bit processors SHA-512 can actually be faster than SHA-256 because it processes data in 64-bit words rather than 32-bit words. SHA-512 is preferred where maximum collision resistance is required, such as high-security digital signatures, long-lived archival checksums, or systems that need to meet standards requiring 256-bit security strength. For most everyday integrity checks and web application use, SHA-256 offers more than adequate security.

Hex Colour to Name Converter NZ

How many named CSS colours are there?

CSS defines around 140 named colours, from common ones like red, blue and green to more specific names like tomato, steelblue and gold. Each maps to a fixed hex value. This tool finds which of them is closest to your chosen colour.

Why is the match not exact?

Most hex colours do not correspond exactly to a named CSS colour, since the named set covers only about 140 specific points. The tool therefore finds the nearest one by colour distance, which is usually a close approximation rather than an exact match.

How is the nearest colour found?

Each colour is treated as a point defined by its red, green and blue values, and the tool measures the distance between your colour and each named one. The named colour with the smallest distance is the closest match, the standard way to compare colour similarity.

Hexadecimal & Bitwise Calculator NZ

What is a bitwise AND used for?

Bitwise AND keeps only the bits that are set in both numbers, which makes it the standard way to test or extract specific bits using a mask. For example, ANDing a value with a mask isolates just the flags you care about and zeroes the rest.

What is the difference between XOR and OR?

OR sets a bit if it is on in either number, so it combines flags. XOR, the exclusive or, sets a bit only where the two numbers differ. XOR is handy for toggling bits and for simple checksums, since applying the same XOR twice returns the original value.

Can I enter hexadecimal values?

Yes. Type a value in plain decimal, or in hexadecimal with a leading 0x, such as 0x3C. The calculator reads either form, performs the operation, and shows the answer in decimal, hexadecimal, binary and octal together.

Hexadecimal Calculator

How do you add hexadecimal numbers?

Hex addition works column by column just like decimal, but the digit set runs from 0 to F (0 to 15). When a column sums to 16 or more, you carry 1 to the next column. For example, A3 plus 1F: 3 plus F is 18, write 2 and carry 1; A plus 1 plus carry 1 is C. Result is C2 in hex, which is 194 in decimal.

What is the difference between a hex calculator and a hex converter?

A hex converter simply changes a number from one base to another, for example decimal 255 to hex FF. A hex arithmetic calculator actually adds, subtracts or multiplies two hex operands and returns the result in hex, with the decimal and binary equivalents shown for context.

Can hex numbers be negative?

Mathematically yes. If the second operand is larger than the first in a subtraction, the result is negative. In computer memory, negative values are often stored as two's complement, but this calculator works with plain signed integers and shows the negative sign where the result is less than zero.

HTML Entity Encoder and Decoder

What are HTML entities?

HTML entities are codes that represent characters which either have special meaning in HTML, like the angle brackets and ampersand, or are hard to type. Writing them as entities lets the characters display as literal text on a page instead of being interpreted as markup.

Why should I escape HTML?

Escaping ensures reserved characters display correctly rather than breaking your markup, and it is a core security measure. Escaping any text that comes from users before placing it in a page prevents cross-site scripting, where injected angle brackets could run malicious code.

What is the difference between encoding and decoding here?

Encoding turns ordinary characters into entity codes, making text safe to put inside HTML. Decoding turns entity codes back into the characters they stand for, which is useful when reading or cleaning content that has already been escaped. This tool does both.

JSON Formatter and Validator

What does a JSON validator actually check?

A JSON validator checks that your text conforms to the JSON specification (ECMA-404 / RFC 8259). The most common errors are: missing or extra commas, using single quotes instead of double quotes around strings and keys, trailing commas after the last item in an object or array, unquoted property names, and control characters (like tabs or newlines) inside string values without proper escaping. The browser's built-in JSON.parse() function is used here, which implements the same standard as every major programming language.

Is my JSON data safe when I use this tool?

Yes. All formatting and validation is done entirely in your browser using JavaScript. No data is sent to any server, logged, stored, or transmitted over the internet. This makes the tool suitable for formatting JSON that may contain sensitive information such as API responses, configuration files, or database records.

What indentation size should I use for formatted JSON?

Two spaces is the most widely used indentation size in JSON output across tools like Prettier, most API documentation, and major open-source projects. Four spaces matches the default in many code editors and is common in Java and C# projects. Tabs use a single tab character per level, making files slightly smaller; how wide they appear depends on your editor settings. For human readability there is no single standard, but 2-space indentation is the safest default when sharing JSON with others.

JSON Formatter & Validator NZ

What does beautifying JSON do?

Beautifying re-indents JSON across multiple lines with consistent spacing, turning a single dense line into a clear nested structure you can read and navigate. It does not change the data at all, only its layout, making it far easier to inspect and debug.

Why is my JSON invalid?

The most common causes are single quotes instead of double quotes, a trailing comma after the last item, missing quotes around keys, unbalanced brackets or braces, and comments, which JSON does not allow. This tool tells you when the input is invalid so you can find the slip.

Is my data safe?

Yes. All formatting and validation happen locally in your browser using the built-in JSON parser. Your data is never sent to a server or stored, so it is safe to paste sensitive API responses or configuration here.

JWT Decoder NZ

What is a JWT?

A JSON Web Token is a compact, URL-safe token used to carry identity and authorisation data in web applications. It has three dot-separated parts: a header, a payload of claims, and a signature. After login, a server issues one and the client sends it back to prove who it is.

Does this verify the token?

No. This tool decodes the header and payload so you can read them, but it does not verify the signature. Verification requires the secret or public key held by the server that issued the token, so a decoded token here is readable but not confirmed as authentic.

Is it safe to put data in a JWT?

The payload is only Base64url-encoded, not encrypted, so anyone with the token can read it, as this tool demonstrates. Never place passwords or secrets in a JWT. The signature only proves the token has not been altered, not that its contents are hidden.

Lorem Ipsum Bytes Generator NZ

Why generate lorem ipsum by bytes?

Sometimes you need filler text of a precise size rather than a word count: to test a database field, a file, an input limit or a payload at a given number of bytes. Generating to a byte target saves counting characters by hand.

Is each character one byte?

For the basic Latin characters in lorem ipsum, yes, in UTF-8 each is one byte, so the byte and character counts match. Characters outside the basic set, such as accented letters or emoji, would take more than one byte each.

Does the text end mid-word?

No. The tool builds up to your target byte size and then trims back to the nearest whole word, so the result reads as normal placeholder text rather than cutting off in the middle of a word. The actual byte count is shown.

Minecraft Circle Generator

How do you make a circle in Minecraft?

Minecraft uses square blocks, so a circle is approximated by a pixel grid. Enter the diameter you want and the generator shows which blocks to place, row by row, to get the roundest possible shape at that size.

What is the difference between filled and outline?

Outline shows just the ring of blocks for the edge of a circle, ideal for towers and rings. Filled shows every block inside, which is what you want for a solid disc or the layer of a dome.

How many blocks will I need?

The generator counts the blocks for you, so you know how many to gather before you start building.

Password Entropy Calculator

What does entropy in bits actually mean?

Each bit of entropy doubles the number of guesses needed to crack a password, so 60 bits means about a million times more work than 40 bits. It is a way to compare strength on a single scale. Roughly, under 28 bits is very weak and over 60 bits starts to be reasonable for everyday use.

How is the crack time estimated?

The tool assumes a fast offline attacker trying ten billion guesses a second and that on average half the possible combinations are tried before a hit. It is a rough guide only, since real attack speeds vary and a guessable word can fall far sooner than its raw entropy suggests.

Is it safe to type my password here?

The calculation runs entirely in your browser and nothing is uploaded. Even so, it is wise never to enter a password you actually use on any website. Test a sample of the same length and character mix instead.

Password Strength Checker NZ

What makes a password strong?

Length and variety. A long password drawing from lowercase, uppercase, digits and symbols has vastly more possible combinations than a short or simple one, making it far harder to guess. Length matters most, so a long passphrase is often stronger than a short, complex jumble.

What is password entropy?

Entropy measures unpredictability in bits, calculated as the length times the base-2 logarithm of the character pool size. Each extra bit doubles the number of possible passwords. Around 60 bits is reasonable and 80 or more is strong, making brute-force attacks impractical.

Is it safe to type my password here?

Yes. The check runs entirely in your browser with JavaScript, and your password is never sent or stored anywhere. That said, as a general habit, only ever enter real passwords into tools you trust and can confirm run locally, as this one does.

QR Code Generator NZ

How do I make a QR code for a website?

Paste the full web address, including the https part, into the box and the QR code appears instantly. Right-click or long-press to save the image, then print or share it. Anyone who scans it with a phone camera is taken straight to the page.

Do QR codes expire?

The code itself does not expire; it simply encodes whatever text or link you gave it. As long as that web address keeps working, the code keeps working. If the destination link changes, you need to generate a new code for the new address.

What size QR code should I use?

Use a larger size for posters and signs that are scanned from a distance, and a smaller size for business cards and labels. As a rule of thumb, keep the printed code at least two centimetres square, and always test it with a couple of phones first.

Random Picker Calculator

What is the Random Picker Calculator?

Randomly select one or more winners from any list of names or items. Paste up to 10,000 entries, set how many to pick, and get fair unbiased results instantly. Free online random picker tool.

Is the Random Picker Calculator free to use?

Yes. The Random Picker Calculator is free to use on Calculate.co.nz, with no sign-up, paywall or account required.

Is the Random Picker Calculator fair?

Yes. Every name or item in your list has an equal chance of being chosen, and once an item is picked it is removed so the same entry is never selected twice in one draw. It is a general randomisation tool that works anywhere, with no New Zealand specific rules or rates involved.

Random String Generator

Is the random string generator cryptographically secure?

This generator uses the Web Crypto API (window.crypto.getRandomValues) when available in your browser, which is a cryptographically strong pseudo-random number generator (CSPRNG) suitable for generating secure tokens, API keys, and passwords. It is significantly stronger than Math.random(), which is not suitable for security-sensitive purposes. The strings are generated entirely in your browser and no data is sent to any server.

How long should a random string be for a secure password?

For a password, a length of at least 16 characters using all character sets (uppercase, lowercase, numbers, and symbols) is recommended by most security standards including NIST SP 800-63B. A 16-character password from a 94-character set has approximately 10^31 possible combinations, making brute-force attacks impractical. For API keys and tokens used in applications, 32 characters or more is common. For session tokens, 64 characters is typical.

What is the difference between a random string and a UUID?

A UUID (Universally Unique Identifier) is a standardised 128-bit value formatted as 32 hexadecimal characters in a specific pattern (e.g. 550e8400-e29b-41d4-a716-446655440000). A random string is more flexible: you can choose its length, character set, and format. UUIDs are used when you need a standardised identifier format. Random strings are used when you need a custom-length key, token, or code. For most password and API key use cases, a random string is more appropriate as you can control its entropy precisely.

Resistor Colour Code Calculator

How do I read a 4-band resistor colour code?

On a 4-band resistor, the first two bands are digits (0 through 9), the third band is a multiplier (a power of 10), and the fourth band is the tolerance. Read the digit bands left to right, form a two-digit number, multiply by the multiplier, then note the tolerance. For example, Red Red Brown Gold means 2, 2, times 10, plus or minus 5 percent, giving 220 ohms.

What do the resistor colour code colours mean?

Black=0, Brown=1, Red=2, Orange=3, Yellow=4, Green=5, Blue=6, Violet=7, Grey=8, White=9 for digit bands. Multipliers use the same colours but as powers of ten (Black=1, Brown=10, Red=100, etc.). Gold and Silver also serve as multiplier bands (Gold = x0.1, Silver = x0.01). As tolerance bands, Gold is plus or minus 5 percent and Silver is plus or minus 10 percent; no fourth band means plus or minus 20 percent.

What is the resistance range for a 220-ohm 5% resistor?

A 220-ohm resistor with 5% tolerance can have an actual resistance anywhere from 220 minus 5 percent (209 ohms) to 220 plus 5 percent (231 ohms). This range matters when designing precision circuits where exact values are important.

Screen Ratio Calculator

How do I calculate the aspect ratio of a screen from its width and height?

Divide both the width and height by their greatest common divisor (GCD). For example, a 1920 x 1080 screen: GCD(1920, 1080) = 120, so 1920 / 120 = 16 and 1080 / 120 = 9, giving an aspect ratio of 16:9. For a decimal ratio, simply divide width by height: 1920 / 1080 = 1.778.

What is the difference between 16:9 and 16:10?

16:9 is the dominant widescreen standard used for televisions, most monitors, and video content. It has a decimal ratio of approximately 1.778. 16:10 (also written 8:5) is slightly taller and was common on laptop screens and older monitors. A 1920 x 1200 display is 16:10 and provides more vertical space for productivity work. 16:10 screens are experiencing a revival in laptops as users prefer the extra vertical height for documents and web pages.

How do I scale a resolution while keeping the same aspect ratio?

Multiply both width and height by the same scale factor, or use the ratio to solve for the missing dimension. If you know the target width, calculate target height = target width divided by (original width divided by original height). If you know the target height, calculate target width = target height multiplied by (original width divided by original height). This calculator does this automatically when you enter a target width or height in the scaling section.

Slug Generator

Why are hyphens used instead of underscores?

Search engines treat hyphens as word separators, so my-page-title reads as three words. Underscores are often joined together, so a hyphenated slug is the safer choice for readability and search. This tool always uses single hyphens.

What happens to accents and special characters?

Accented letters are converted to their plain ascii form, so an e with an accent becomes e. Symbols and punctuation are removed, and spaces become hyphens. The result contains only lowercase letters, numbers and dashes.

Should I change a slug after publishing?

It is best not to. Changing a live slug breaks any existing links and bookmarks to that page unless you add a redirect from the old address. Decide on a clear slug before you publish and leave it in place.

Slug to Title Converter NZ

What does this converter do?

It turns a URL slug, the lowercase hyphenated text used in web addresses, back into a readable, capitalised title. So best-flat-white-in-wellington becomes Best Flat White In Wellington. It is the reverse of slugifying a title.

Does it handle underscores too?

Yes. It treats both hyphens and underscores as word separators, replacing them with spaces, so slugs from URLs (usually hyphens) and from file or database keys (often underscores) both convert correctly into titles.

Why are acronyms not capitalised correctly?

Automatic conversion cannot tell that a word like nz or gst is an acronym, so it title-cases it as Nz or Gst. The same applies to small joining words. The result is right for most titles; adjust any acronyms or styling by hand afterwards.

Subscript Generator

How does the subscript generator work?

It swaps each letter, digit or symbol for its Unicode subscript version, which is a real character rather than formatting. That means you can copy the result and paste it into places that do not support rich text, such as social media bios, usernames, spreadsheets and chat messages, and the small characters stay small.

Why are some letters not converted?

Unicode only defines subscript forms for the ten digits, common maths symbols and seventeen letters. The letters b, c, d, f, g, q, w, y and z have no standard subscript version, so the generator leaves those characters unchanged rather than dropping them, keeping your text readable.

How do I write H2O with a subscript 2?

Convert just the number on its own. Type 2 into the generator, copy the small result, and paste it between the H and the O to get H₂O. The same trick works for any chemical formula or index where only part of the text should sit below the line.

Superscript Generator

How does the superscript generator work?

It swaps each letter or number for its Unicode superscript or subscript version, which are real characters rather than formatting. That means you can copy the result and paste it into places that do not support rich text, such as social media bios, usernames, and chat messages.

Why are some characters missing?

Unicode only has superscript and subscript versions for some letters. Numbers and most lowercase letters work well, but a few letters have no standard small form. Where there is no match, the generator leaves the normal character so your text stays readable.

Where can I use superscript text?

Anywhere that accepts plain text. It is handy for footnote markers, maths like x squared, ordinals such as 1st, chemical formulas like H2O, and for styling social media posts and profiles where formatting is not otherwise allowed.

Text Diff Checker NZ

How does a diff tool work?

It finds the longest sequence of lines the two texts have in common, then treats everything else as changes: lines only in the original are removals, and lines only in the new version are additions. This produces the smallest, clearest set of changes turning one text into the other.

Does it compare word by word or line by line?

This tool compares line by line, which suits documents, configuration files and code where each line is a logical unit. For the clearest results, keep each item or statement on its own line so a single change shows as one removal and one addition.

Is my text kept private?

Yes. The comparison runs entirely in your browser using JavaScript, so neither text is uploaded anywhere. This makes it safe to compare private documents, code or configuration that you would not want to send to an external service.

Text Reverser NZ

What is the difference between reversing characters and words?

Reversing characters flips every single character so the whole text reads backwards, turning Hello into olleH. Reversing words keeps each word spelled correctly but flips their order, so Hello World becomes World Hello. This tool shows both at once.

How do I check for a palindrome?

A palindrome reads the same forwards and backwards. This tool compares your text, ignoring case, spaces and punctuation, with its character reversal, and tells you whether they match. Try words like racecar or phrases like a man a plan a canal panama.

Is my text private?

Yes. The reversing and counting happen entirely in your browser using JavaScript, so your text is never uploaded or stored anywhere. You can safely paste private text to reverse or check it.

Truth Table Generator

What is a truth table?

A truth table lists every possible combination of true and false values for the variables in a boolean expression, and the result of the expression for each. With n variables there are 2 to the power n rows, so two variables give four rows and three give eight.

How do I enter a boolean expression?

Use single capital letters for variables and the words AND, OR, NOT and XOR, or the symbols and, or, not and xor as you prefer. Brackets set the order, for example (A AND B) OR NOT C. The generator finds the variables and builds the table automatically.

What do AND, OR, NOT and XOR mean?

AND is true only when both inputs are true. OR is true when at least one input is true. NOT flips a value. XOR, exclusive or, is true when the inputs differ. These are the building blocks of digital logic and boolean algebra.

Upside Down Text Generator

How does upside down text actually work?

Nothing is rotated. Each character is swapped for an existing Unicode character that happens to look like the original turned through 180 degrees, and the order of the characters is reversed so the line reads correctly when viewed upside down. Most lowercase substitutes are turned letters from the International Phonetic Alphabet, such as the turned a and turned e, while capitals borrow from mathematical notation and other scripts, such as the for-all symbol standing in for a flipped A.

Will upside down text display everywhere I paste it?

Almost everywhere. The phonetic and mathematical characters that make up most of the flipped alphabet are covered by the standard fonts on modern phones and computers. A few substitutes come from rarer blocks, such as the Deseret letter used for a flipped capital B, and those can appear as empty boxes on older devices or minimal fonts. Paste a short test into the platform you care about before using it widely.

Why are some letters not perfectly flipped?

Unicode has no dedicated upside down alphabet, so the generator picks the closest convincing lookalike for each character. Letters with rotational symmetry, such as o, s, x and z, look the same either way and are left alone, while a few characters, such as the lowercase l and the capital K, reuse the nearest available shape. The result reads clearly at a glance even though a purist could spot the compromises.

URL Encode & Decode NZ

What is URL encoding?

URL encoding, or percent-encoding, converts characters that are not allowed in a web address into a safe form: a percent sign followed by a code. For example, a space becomes %20. This lets spaces, special characters and non-English text travel safely inside a URL.

When do I need to encode a URL?

Whenever you put text with spaces or special characters into a link or query string, such as a search term, a name or any data passed to a web page or API. Encoding prevents characters like ampersands and question marks from breaking the URL or changing its meaning.

Does it handle accented characters and emoji?

Yes. It encodes and decodes through UTF-8, so macrons, accented letters and emoji are converted correctly and survive the round trip. Each such character becomes a sequence of percent-codes when encoded, and is restored exactly when decoded.

URL Encoder / Decoder

What is the difference between encoding and decoding?

Encoding converts plain text into a percent escaped form that is safe inside a URL, so a space becomes %20. Decoding reverses that and turns the escaped text back into readable characters. You pick the direction with the mode selector.

Why does my plus sign stay the same?

This tool uses encodeURIComponent, which does not change the plus sign because it is a valid URL character. Some web forms read a plus as a space, so check how your platform treats it and encode a real space as %20 if you need to be certain.

Is my text sent anywhere?

No. The encoding and decoding run entirely in your browser with JavaScript. Nothing you type or paste leaves your device.

URL Slug Generator NZ

What is a URL slug?

A slug is the readable part of a web address that names a specific page, usually shown in lowercase words joined by hyphens after the domain. A clear slug helps readers and search engines understand what the page is about before they even open it.

What makes a good slug for SEO?

Keep it short and descriptive, include your main keyword, use hyphens between words, and stick to lowercase letters and numbers. Avoid spaces, punctuation and unnecessary stop words. A concise, keyword-focused slug is easier to read, share and rank.

Does it handle accents and macrons?

Yes. Accented characters and macrons, such as those in te reo Maori, are reduced to their basic letters so the slug stays web-safe, while keeping the word recognisable. Any remaining special characters are stripped out automatically.

UUID Generator NZ

What is a UUID used for?

A UUID is a unique identifier used in software for database keys, transaction and request IDs, file names, session tokens and more. Because it is practically guaranteed to be unique, different systems can generate UUIDs independently without ever coordinating or risking a clash.

Are these UUIDs random and safe to use?

They are version 4 UUIDs built from random bits, generated in your browser using a cryptographically strong source where the browser provides one. They never leave your device, so they are safe to use as real keys and identifiers, not just for demonstration.

What is the difference between a UUID and a GUID?

None in practice. GUID, meaning globally unique identifier, is Microsoft's name for the same 128-bit value that the rest of the industry calls a UUID. The format and purpose are identical, so the two terms are used interchangeably.

UUID v4 Generator

Are these UUIDs truly unique?

A version 4 UUID has 122 random bits, so the chance of two values ever colliding is vanishingly small. For all practical purposes you can treat each generated identifier as unique. They are not guaranteed unique in a strict mathematical sense, but the odds are far beyond anything you would meet in normal use.

Is the randomness secure?

Yes. The tool uses the browser crypto random source, which is designed to be cryptographically strong. That is a better source than an ordinary pseudo random function for identifiers you do not want others to guess.

Can I generate many at once?

Yes. Enter the number you want and the tool produces that many UUIDs, one per line, so you can copy them straight into your project. Very large counts are capped to keep the page responsive.

UUID v7 Generator NZ

What is a UUID v7?

It is a version of the universally unique identifier that embeds a millisecond timestamp in its leading bits, followed by random bits. This makes it both unique and sortable by creation time, unlike the fully random version 4. It is the recommended choice for new database keys.

Why is UUID v7 better for databases?

Because it is time-ordered, new identifiers are inserted near each other in an index rather than scattered randomly as with version 4. This improves insert performance and data locality, while still avoiding the coordination that sequential integer keys require.

Are these UUIDs unique and safe?

Yes. Each combines the current timestamp with cryptographically strong random bits, so collisions are practically impossible even for many generated in the same millisecond. They are produced in your browser and never uploaded, so they are safe to use as real keys.

Word Frequency Counter NZ

What is word frequency analysis used for?

It reveals which words appear most often in a text. Writers use it to catch overused words, researchers to find themes, and content creators to check keyword usage for SEO. It gives a quick, objective picture of the vocabulary a piece of writing relies on.

Does it count words case-sensitively?

No. Words are compared ignoring case, so The, the and THE are all counted as the same word. Punctuation is also ignored, so a word followed by a comma or full stop still counts toward the same total. This gives a true count of each distinct word.

What does the unique word count tell me?

It is the number of distinct words in the text. Comparing it with the total word count shows how varied the vocabulary is: a high ratio of unique to total words suggests rich, varied language, while a low ratio suggests more repetition.