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.

1. 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. Y0, Y1, and Y2 as outputs?