1.

A digital transmission system uses a (7, 4) systematic linear Hamming code for transmitting data over a noisy channel. If three of the message-codeword pairs in this code (mi ; ci), where ci is the codeword corresponding to the ith message mi, are known to be (1 1 0 0 ; 0 1 0 1 1 0 0), (1 1 1 0 ; 0 0 1 1 1 1 0) and (0 1 1 0 ; 1 0 0 0 1 1 0), then which of the following is a valid codeword in this code?

A. 1 0 1 1 0 1 0
B. 0 1 1 0 1 0 0
C. 0 0 0 1 0 1 1
D. 1 1 0 1 0 0 1
Answer» D. 1 1 0 1 0 0 1


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