Question Bank - Computer Networks

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Assume that a 12-bit Hamming codeword consisting of 8-bit data and 4 check bits is d8d7d6d5c8d4d3d2c4d1c2c1, where the data bits and the check bits are given in the following tables:Data bitsd8d7d6d5d4d3d2d1110x0101 c8c4c2c1Y010Which one of the following choices gives the correct values of x and y?

A.
x is 1 and y is 0.
B.
x is 1 and y is 1.
C.
x is 0 and y is 1.
D.
x is 0 and y is 0.

Solution:

Answer: Option 4Data: Data bitsd8d7d6d5d4d3d2d1110x0101 c8c4c2c1y010Codeword = d8d7d6d5c8d4d3d2c4d1c2c1Codeword = 110xy0100110B12B11B10B9B8B7B6B5B4B3B2B1 C1=B1 ? B3 ? B5 ? B7 ? B9 ? B11 = 0 ? 1 ? 0 ? 0 ? x ? 1; for even parity x=0C2 = B2 ? B3 ? B6 ? B7 ? B10 ? B11 = 1 ? 1 ? 1 ? 0 ? 0 ? 1;C4 = B4 ? B5 ? B6 ? B7 ? B12 = 0 ? 0 ? 1 ? 0 ? 1; C8 = y ? 0? 0 ? 1? ? 1; for even parity y = 0 (putting x = 0)

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