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Parity bit
・ Parity Committee for the Reconstruction of the Fourth International
・ Parity drive
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・ Parity of a permutation
・ Parity of esteem
・ Parity of zero
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Parity bit : ウィキペディア英語版
Parity bit

A parity bit, or check bit is a bit added to the end of a string of binary code that indicates whether the number of bits in the string with the value one is even or odd. Parity bits are used as the simplest form of error detecting code.
There are two variants of parity bits: even parity bit and odd parity bit.
In the case of even parity, for a given set of bits, the occurrences of bits whose value is 1 is counted. If that count is odd, the parity bit value is set to 1, making the total count of occurrences of 1's in the whole set(including the parity bit) an even number. If the count of 1's in a given set of bits is already even, the parity bit's value remains 0.
In the case of odd parity, the situation is reversed. For a given set of bits, if the count of bits with a value of 1 is even, the parity bit value is set to 1 making the total count of 1's in the whole set(including the parity bit) an odd number. If the count of bits with a value of 1 is odd, the count is already odd so the parity bit's value remains 0.
Even parity is a special case of a cyclic redundancy check (CRC), where the 1-bit CRC is generated by the polynomial ''x''+1.
If the parity bit is present but not used, it may be referred to as mark parity (when the parity bit is always 1) or space parity (the bit is always 0).
==Parity==
In mathematics, parity refers to the evenness or oddness of an integer, which for a binary number is determined only by the least significant bit. In telecommunications and computing, parity refers to the evenness or oddness of the number of bits with value one within a given set of bits, and is thus determined by the value of all the bits. It can be calculated via an XOR sum of the bits, yielding 0 for even parity and 1 for odd parity. This property of being dependent upon all the bits and changing value if any one bit changes allows for its use in error detection schemes.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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