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duodecimal (Definition)

The duodecimal system is a positional number system with base 12, using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A and B.

The term duodecimal comes fro Latin. There is also a less used synonym duodecadic mixed of a Latin begin and a Greek end and still a purely Greek formation dodecadic.

Some divisibility tests in duodecimal are:

$ n$ is divisible by 2 if its least significant digit is 0, 2, 4, 6, 8 or A.

$ n$ is divisible by 3 if its least significant digit is 0, 3, 6 or 9.

$ n$ is divisible by 4 if its least significant digit is 0, 4 or 8.

$ n$ is divisible by 6 if its least significant digit is 0 or 6.

$ n$ is divisible by 11 if it has digital root B.

$ n$ is of course divisible by 12 if it ends in a 0.

$ n$ is divisible by 13 if the difference of the odd placed digits and the even place digits of $ n$ is a multiple of 13.



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Cross-references: multiple, place, even, odd, difference, digital root, least significant digit, divisible, divisibility tests, digits, base, positional number system
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This is version 2 of duodecimal, born on 2006-10-26, modified 2006-10-31.
Object id is 8482, canonical name is Duodecimal.
Accessed 927 times total.

Classification:
AMS MSC11A63 (Number theory :: Elementary number theory :: Radix representation; digital problems)

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