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twos complement


A system used in some computers to represent negative numbers in binary. Each bit of the number is inverted (zeros are replaced with ones and vice versa), as for {ones complement}, but then one (000...0001) is added (ignoring overflow). This avoids the two representations for zero found in ones complement by using all ones to represent -1. ... 000...00011 = +3 000...00010 = +2 000...00001 = +1 000...00000 = 0 111...11111 = -1 111...11110 = -2 111...11101 = -3 ... This representation simplifies the logic required for addition and subtraction, at the expense of a little extra complexity for negation. (1994-10-31)

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