ALU Design & Usage $($Ref: Lecture $13,$ Assignment $2).$

Q$3.$ A$)$ Design an ALU that performs the operations given below. $4-$bit Operands are A and $B,$ selection inputs are $S$ and Cin. Use only one Adder, shifter, multiplexers and primitive gates. $(5$ points$)$Q$3.$ B$)(15$ points$)$ Complete the following datapath with necessary hardware units $($e$.$g$.,$ mux, gates, etc.$)$ and interconnections to accomplish the following operationsR$3$ B R$4+$R$2$R$4$ R$8$ AND R$9$Mem$[$R$8]$ R$7+8$

All instructions, registers and ALU are $8$ bits. There are $8$ registers in each register bank. RegFile$1$ has $R0$ to $R7$ and RegFile$2$ has R$8-$R$15.$