parity bit oor Masedonies
parity bit
en
(computing) A bit (binary digit) used to indicate whether the number of bits in a given set with value of one is even or odd. Parity bits are used as a simple error detection code.
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Бит за парност
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It encodes four data bits into seven bits by adding three parity bits.
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Parity bits are used as the simplest form of error detecting code.
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If all parity bits are correct, there is no error.
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A parity bit is only guaranteed to detect an odd number of bit errors.
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To remedy this shortcoming, Hamming codes can be extended by an extra parity bit.
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If only one parity bit indicates an error, the parity bit itself is in error.
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With the addition of an overall parity bit, it can also detect (but not correct) double-bit errors.
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Otherwise, the sum of the positions of the erroneous parity bits identifies the erroneous bit.
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To check for errors, check all of the parity bits.
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In this context, an extended Hamming code having one extra parity bit is often used.
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Other formats are possible; 8 bits of data plus a parity bit can convey all 8-bit byte values.
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In serial data transmission, a common format is 7 data bits, an even parity bit, and one or two stop bits.
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Parity bit checking is used occasionally for transmitting ASCII characters, which have 7 bits, leaving the 8th bit as a parity bit.
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The addition of the fourth row effectively computes the sum of all the codeword bits (data and parity) as the fourth parity bit.
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For example, if the parity bits in positions 1, 2 and 8 indicate an error, then bit 1+2+8=11 is in error.
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In the two examples above, Bob's calculated parity value matches the parity bit in its received value, indicating there are no single bit errors.
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Each data bit is included in a unique set of 2 or more parity bits, as determined by the binary form of its bit position.
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The parity bit is only suitable for detecting errors; it cannot correct any errors, as there is no way to determine which particular bit is corrupted.
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Particularly popular is the (72,64) code, a truncated (127,120) Hamming code plus an additional parity bit, which has the same space overhead as a (9,8) parity code.
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The key to all of his systems was to have the parity bits overlap, such that they managed to check each other as well as the data.
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The key thing about Hamming Codes that can be seen from visual inspection is that any given bit is included in a unique set of parity bits.
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If an odd number of bits (including the parity bit) are transmitted incorrectly, the parity bit will be incorrect, thus indicating that a parity error occurred in the transmission.
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If we increase the size of the bit string to four, we can detect all two-bit errors but cannot correct them, (the quantity of parity bits is even) at five bits, we can correct all two-bit errors, but not all three-bit errors.
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Moreover, increasing the size of the parity bit string is inefficient, reducing throughput by three times in our original case, and the efficiency drops drastically as we increase the number of times each bit is duplicated in order to detect and correct more errors.
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For example, 1011 is encoded (using the non-systematic form of G at the start of this section) into 01100110 where blue digits are data; red digits are parity bits from the Hamming code; and the green digit is the parity bit added by the code.
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