QUESTION $1(25$ marks$)$

Suppose you are tasked with creating a customised circuit that computes the product of an integer A that lies

somewhere in the range $0$ to $2$ with an integer $B$ that lies somewhere in the range $0$ to $3.$

Question $1\mathrm{.}1(6$ marks$)$

Describe each of the outputs for this circuit using the sum of minterms notation of $A[1],A[0],B[1],B[0]$ :