$(8$ points$)$ Use Booth's Algorithm to multiply $-6$ and $-4$ using four bits registers. i$.$e$.(-6)x(-4)=24.$ Clearly state the content in registers $AQ$ Q$-1($you can use the table below to help you with the calculations$)$

$\backslash$table$[[A,Q,Q-1,M,$operations$],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,],[,,,,]]$