Vigesimal Converter

This vigesimal converter turns an ordinary decimal (base 10) whole number into vigesimal, or base 20, the counting system that groups numbers in twenties rather than tens. It is handy if you are studying number systems, exploring how the Maya civilisation and other cultures counted, or you simply want to check a base conversion for homework or curiosity. You enter a decimal whole number into the single field, and the calculator instantly works it out by repeatedly dividing by 20 and reading the remainders, showing the vigesimal result as the large headline figure. Because base 20 needs more than ten symbols, it uses the digits 0 to 9 for the values zero to nine and then the letters A to J for ten to nineteen, so any two-digit result stays easy to read. Alongside the main answer, the calculator also shows the same number converted to duodecimal (base 12) and repeats your original decimal figure, so you can compare all three side by side without doing the sums by hand. The page includes a worked example using 100, which converts to 50 in vigesimal, plus a short explanation of the method, background on where base 20 has been used historically, and answers to common questions. Enter any whole number to see its vigesimal equivalent update immediately as you type.

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