Design single purpose processor that performs n$-$bit sign multiplication. $($A$*$B$).$ Output is $2$n bit. You can use minimal number of adders and shift registers. Using multiplier is prohibited$1.$ Write your algorithm$2.$ Trace your algorithm step$-$by$-$step using $(0)2$ positive $8$bit numbers, $($il$)2$ negative $8$bit number and $($iii$)$ two different sign $8$bit number$3.$ Design FSM$,$ FSMD$4.$ Design Datapath$5.$ Design Control unit