Let $C$ be the binary linear code with generator matrix

$G=\left[\begin{array}{ccccccc}0& 1& 1& 0& 1& 0& 1\\ 1& 1& 0& 0& 1& 1& 1\\ 1& 1& 1& 1& 1& 1& 0\end{array}\right]$

with information bits in positions $1,4,$ and $5.$

State the codeword $x$ that encodes the message $m=100$ :