$2$'s complement of $-57$ is $(11000111)$
Booth multiplier :
$\begin{array} {c c c c c c c c c } 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & \\ 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0 & \text{(put 0 in 1st and shift multiplier left by 1 bit)} \\\hline 0 & -1 & 0 & 0 & 1 & 0 & 0 & -1 \end{array}$
Use this encoded scheme$: 00 \rightarrow 0 , 01 \rightarrow +1, 10 \rightarrow -1, 11 \rightarrow 0$
Correct Answer: A.