Design a 4-bit combinational circuit that outputs its Gray code for the odd inputs and two’s complement for the even inputs. Use don’t care for those that are not applicable. Include the truth table, simplified equation, and decoder implementation.

use the picture provided, where we filled out the truth table for the 2-bit adder. We also wrote out a logical expression for the s0 bit, following a sum of products approach. For the s1 bit of the new circuit, follow the same procedure and write out the logical expression.

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