Problem $3(20$ points$)$

Design a two$-$bit number multiplier assuming that any$-$bit size number adders are provided.Problem $3$

Two$-$bit Number Multiplier

Design a $2-$bit number multiplier using adders.

Let the $2-$bit numbers be $A=a_1{a}_0$ and $B=b_1{b}_0.$ The product P will be a $4-$bit number $P=p_3{p}_2{p}_1{p}_0.$

$p_0=a_0*b_0$

$p_1=(a_1*b_0)o+(a_0*b_1)$

$carr{y}_1=(a_1*b_0)*(a_0*b_1)$

$p_2=carr{y}_{1}o+(a_1*b_1)$

$carr{y}_2=carr{y}_1*(a_1*b_1)$

Please draw out the diagrm clearly $**$