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Hamming Code is a system involving multiple parity bits per word such that not only can errors be detected but certain types of errors can be corrected. The first Hamming Code was called (7,4) because it added 3 parity bits to 4 data bits, creating a 7 bit code. See link for example.
Hamming code is a linear error-correcting code named after its inventor, Richard Hamming. Hamming codes can detect and correct single-bit errors, and can detect (but not correct) double-bit errors. In other words, the Hamming distance between the transmitted and received code-words must be zero or one for reliable communication.
you need thee extra bit for 4 bit data in hamming code.
Hamming code is only used for single bit error :/
A special system of multiple parity bits (e.g. Hamming parity) that allows not only error detection but limited error correction.Ordinary single bit parity can detect reliably single bit errors.Hamming parity can correct single bit errors and detect reliably double bit errors.
Hamming Code for A: 010010000100 (The strike numbers are the check bits) Hamming Code for 3: 001100011101
Hamming code handles only single-bit errors-two or more errors will cause an incorrect syndrome value. It can detect double bit error but not corrected
A parity bit, or check bit, is a bit that is added to ensure that the number of bits with the value one in a set of bits is even or odd. Parity bits are used as the simplest form of error detecting code.
Hamming Codes are used for detecting multiple errors in a transmitted code. It can trace missing parts of a code that may have been lost through transmission and it can also tell you if an error has occurred in any bit of the code using Modulo Tow Arithmetic.
1110010
11001000111
Both sides of the serial communication must be configured for parity. Then every 8th bit is defined as the parity bit.