1. Show the 8-bit 2's complement representation of: (a) -66 (b) 38 (c) -72 (d) 55 2. Show the addition of 72+55, 72+(-55), (-72)+55, (-72)+(-55) using 8-bit 2's complement addition. 3. Using truth table techniques, prove that AB+AB+ABC = AB + AB +BC. 4. Simplify the function F ABC+ ABC+BC+ AC using Boolean algebra. 5. Show the gate implementation of the function F of Pb. 4 both before and after the logic simplification