When the (7,4) Hamming code of Example 3.71 is used, suppose the messages c are received. Apply

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When the (7,4) Hamming code of Example 3.71 is used, suppose the messages c′ are received. Apply the standard parity check matrix to c′ to determine whether an error has occurred and correctly decode c´ to recover the original message vector x.

c′ = [0    1    0    0    1    0    1]T

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