Use Booth's algorithm to multiply the following numbers:$$M$=72$ and Q$=-12($ using an $8-$bit representation$).$ Write the algorithm's initial value.

Write the answer in this order$-$ counter:A:Q:Q$-1$

For Example, if the counter is $5,$ A is $00000,$ Q is $10101,$ and Q$-1$ is $1,$ then write $5$:$00000$:$10101$:$1$