A (7, 4) linear block code has following matrix as generator matrix

\(G=\left[ \begin{matrix} {{g}_{0}} \\ {{g}_{1}} \\ {{g}_{2}} \\ {{g}_{3}} \\ \end{matrix} \right]=\left[ \begin{matrix} 1 & 1 & 0 & 1 & 0 & 0 & 0 \\ 0 & 1 & 1 & 0 & 1 & 0 & 0 \\ 1 & 1 & 1 & 0 & 0 & 1 & 0 \\ 1 & 0 & 1 & 0 & 0 & 0 & 1 \\ \end{matrix} \right]\)

If μ = (1101) is the message to be encoded, then the encoded codeword is: