How does the duodecimal system work?
by 
saviorknights
ANSWERS: 1
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The duodecimal, or "base twelve", system uses twelve distinct characters to encode numbers -- the decimal digits 0 through 9, plus two additional characters which represent the values ten and eleven, respectively. In this discussion, I'll use the letters T and E, respectively, to represent ten and eleven, although A and B are also commonly used. In the familiar decimal or "base ten" notation, the number represented by a sequence of decimal digits is calculated by multiplying each digit by a power of ten that corresponds to its position in the sequence. For example, the sequence 24076 represents the value "2*(10^4) + 4*(10^3) + 0*(10^2) + 7*(10^1) + 6*(10^0)". Duodecimal notation works the same way, except that powers of twelve are used instead of powers of ten. For example, the sequence 30TE5, interpreted in base twelve, represents the number "3*(12^4) + 0*(12^3) + 10*(12^2) + 11*(12^1) + 5*(12^0)". Doing the math, one finds that this is the same number whose decimal notation is 63785.
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