HW$2$

For the following question, you need to create a truth table, write the Boolean expression for each output based on the truth table, use K$-$map to simplify the expression if possible, and draw the logic diagram using AND, OR$,$ NOT gate only.

Design a $3-$bit shifter.

a$.A0,A1,A2,$ and $S$ as inputs

b$.$ If $S=0,$ then shift one bit to the left and add $0$ to the last bit

c$.$ If $S=1,$ then shift one bit to the right and add $0$ to the first bit

d$.$ YO$,$ Y$1,$ and Y$2$ as outputs