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Encoding Process
c= uG
u: binary data sequence of length 4( input)
G: Generator matrix which is 7*4
c: Codeword
Decoding Process
s= rHT
r: received data sequence of length 7 ( input) H: Parity-Check Matrix
s: Syndrome to check error-position
If some output values of the encoding and decoding multiplication is over than 1, the value should be changed into remainder on division of itself by 2. (Ex: (4 2 1 ) => (0 0 1))
s(Syndrome) detect error position. We can know the single-error-bit position in the table below.
Fig. Decoding table for Hamming code(7,4)
If s is [0 0 0] and r= [0 1 0 0 0 1 1], it supposes that there is no error and transmitted data is [0 0 1 1]. If s is [0 1 0] and r = [1 0 1 0 0 1 0], it supposes that 2th bit is corrupted, so r should be changed to [1 1 1 0 0 1 0], and transmitted data is lower 4bits, [0 0 1 0].
Why Routine security audits are essential It is essential that regular security audits are conducted to find out physically which computer is connected and permits access to
Unused Reserved This is a 6 bite field reserved for future use.
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Method to change Decimal to Binary?
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