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2 Answers

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$D_{12}$ $D_{11}$ $D_{10}$ $D_9$ $P_8$ $D_7$ $D_6$ $D_5$ $P_4$ $D_3$ $P_2$ $P_1$
$1$ $0$ $1$ $0$ $0$ $0$ $0$ $0$ $1$ $0$ $1$ $0$

 

for $P_1$ we check $D_3D_5D_7D_9D_{11}=00000$ Hence $P_1$ should be $0$

for $P_2$ we check $D_3D_6D_7D_{10}D_{11}=00010$ Hence $P_2$ should be $1$

for $P_4$ we check $D_5D_6D_7D_{12}=0001$ Hence $P_4$ should be $1$

for $P_8$ we check $D_9D_{10}D_{11}D_{12}=0101$ Hence $P_8$ should be $0$

Hence the correct codeword should be

$D_{12}$ $D_{11}$ $D_{10}$ $D_9$ $P_8$ $D_7$ $D_6$ $D_5$ $P_4$ $D_3$ $P_2$ $P_1$
$1$ $0$ $1$ $0$ $0$ $0$ $0$ $0$ $1$ $0$ $1$ $0$

 

Hence Option $ 1010\ 0000\ 1010$ is correct answer.

edited by

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