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# ones' complement

a) The number obtained by subtracting a given n-digit binary number from (which yields the same result as the logical complement).

The ones complement of 0xAAAA is 0x5555 on a 16-bit machine, and 0xFFFF5555 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 0 to , n being the word size of the machine, and the numeric complement of a number is its ones complement.

Computers that use ones complement arithmetic have two representations for zero, all 0s and all 1s.

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