MadSci Network: Other |
Hi Mike, My speciality is supposed to be engineering not maths, so I can only give you my limited perspective. There is a duo-decimal society which has proposed that 12 is a more useful countingbase than 10 for several reasons. Merely because most land based mammals have penta-dactyl symmetry does not affect the argument. Having 10 items to count on doesn't make counting easier (reduce the argument to having only 1 item, is it easier to work in binary ?? The reason for the usefulness of the quantity of 12-ness INDEPENDENT of the base you are working in, is to do with the number of factors the number possesses. 10 can only be factored by 2 and 5 12 can be factored by 2, 3,4 and 6. The bigger the number used in your base system the more compact your number representation. It is common in computer engineering to use hexadecimal notation, where you count from 0-15 as 0,1..9,A,B,C,D,E,F. Binary groups of 4 digits (nibbles) are represented by a single hex digit. and a byte of 8 bits by 2 digits.so 140 (10) is 8C (hex) A lot less trouble than writing 10001100, and a lot less prone to error ! We still have two common base 12 systems (Feet and inches) and our entire time system is based on 60 (a multiple of 12), a system humans have used since the days of Ur and the most ancient Babylonians. Steve
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