A (7, 4) block code has a generator matrix as shown.

\(G = \left[ {\begin{array}{*{20}{c}} 1&0&0&0&1&1&0\\ 0&1&0&0&0&1&1\\ 0&0&1&0&1&1&{1}\\ 0&0&0&1&1&0&1 \end{array}} \right]\)

If there is error in the 7th Bit then syndrome for the same will be

1
001
2
010
3
100
4
011

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