One's complement: Difference between revisions
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Negative numbers are formed by taking the positive number, and complementing it (bit-by-bit inversion). So. for example, using a 4-bit [[word]], 1 is '0001'; to get -1, invert, which gives '1110'. | Negative numbers are formed by taking the positive number, and complementing it (bit-by-bit inversion). So. for example, using a 4-bit [[word]], 1 is '0001'; to get -1, invert, which gives '1110'. | ||
It has now been universally replaced by the [[two's complement]] system. | |||
[[Category: Theory]] | [[Category: Theory]] | ||
Revision as of 15:51, 12 May 2021
One's complement is the original system for representing integers (both positive and negative) in binary; if the high bit (the 'sign' bit) is '1', the number is negative; if '0', the remaining bits encode either 0 (if all '0'), or a positive number. 0 has a second representation (sometimes called '-0'), with all bits (including the sign bit) set to '1'.
Negative numbers are formed by taking the positive number, and complementing it (bit-by-bit inversion). So. for example, using a 4-bit word, 1 is '0001'; to get -1, invert, which gives '1110'.
It has now been universally replaced by the two's complement system.
