Number Base Arithmetic Calculator

This number base arithmetic calculator adds, subtracts or multiplies two whole numbers written in base 2 (binary), base 8 (octal), base 12 (duodecimal) or base 16 (hexadecimal), instead of the base 10 you use every day. You enter a first number and a second number, choose whether to add, subtract or multiply them, and pick the base both numbers are written in. Every digit is checked against that base, since a base 2 number can only contain 0s and 1s and a base 16 number can only use 0 to 9 and A to F, and the calculator flags anything that does not fit before it works out an answer. Once your entries are valid, it returns the result written back in the same base you chose, plus the equivalent decimal value and a label confirming which base is in use, so you can double-check the answer in whichever number system you read most easily. This is handy for programming and computer science study, digital electronics work, exam preparation, or simply building a feel for how place value carries across bases other than base 10. To use it, type your two numbers, choose the operation and base, and the result updates automatically as you go. Try the binary example already loaded, 1010 plus 11, to see how the tool converts between bases and checks its own working in decimal.

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