5. Design a digital circuit that takes two 4-bit numbers A and B as input and generates output Z as follows: (20 points) If A and B are odd numbers then Z-A-B. If A and B are even numbers then Z-B-A. If A is an even number and B is an odd number then Z=A+B. If A is an odd number and B is an even number then Z--A-B-1 Assume that you have access to as many as you need of AND, OR, INV, XOR gates and a single 4-bit FULL-ADDER. (Hint: Example of an even binary number is 1110 and an odd binary number is 1011) (Hint: How many control inputs do you need? And how would you implement them?)