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Non-integer representation
From Wikipedia, the free encyclopedia
The use of non-integer numbers as radix, or bases, in a positional numbering system.
The easiest to illustrate is that of base .1 (1/10). The effect of this system is simply to reverse the order of digits of a decimal (base 10) number.
8149.126(10) = 6219.418(.1)
To show the radix and place holders
8(103) + 1(102) + 4(101) + 9(100) + 1(10 − 1) + 2(10 − 2) + 6(10 − 3)
is the same as
6(.1)3 + 2(.1)2 + 1(.1)1 + 9(.1)0 + 4(.1) − 1 + 1(.1) − 2 + 8(.1) − 3
Other non-integer forms exist, as in the irrational base systems base-e and base-φ (phinary)
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