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N°0001

2013-10-08 14:06:00 by Belpherith

Binary number = (001010110) _2 = (86) _ {10}
Complement to one = (110101001) _2 = (-86) _ {10}
We can refer to one's complement and one's complement function C_1 ^ N, which can also be defined as two's complement least one unit, ie C_1 C_2 ^ ^ N = N - 1. It is trivial from the above definition that the two's complement can be defined as C_1 C_2 ^ ^ N = N + 1.
For example, let's calculate the 1's complement of the number (45) _ {10} which, expressed in binary (101101) _2 is 6 digits:
N = 45, n = 6, 2 ^ 6 = 64
its two's complement is: C_2 ^ N = 2 ^ n - N = 64-45 = 19 = (010011) _2 and its complement to one is one less:
                                 010011


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