two's complement

two's complement
a) The number obtained by complementing every bit of a given number and adding one. A number and its complement add to 2, where n is the word size of the machine.

The twos complement of 0xAAAA is 0x5556 on a 16-bit machine, and 0xFFFF5556 on a 32-bit machine.

b) The convention by which bit patterns with high bit 0 represent positive numbers from 0 to directly, while bit patterns with high bit 1 represent negative numbers from -1 to , n being the word size of the machine, and the numeric complement of a number is its twos complement.

Nearly all modern computers use twos complement for integer arithmetic.

See Also: complement, radix complement, numeric complement, ones complement

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