Please do all the questions

ECE 230 Homework #5 (Due: 212) 1. Show the truth table, logic equations, logic diagram, and block diagram of a half-adder. (Hint: page 125) 2. Show the truth table, logic equations, logic diagram, and block diagram of a full-adder. (Hint page 127) 3. Design a 4-bit adder X+Y,where X -xttto and Y -yyzyo using half-adder block- diagram from . (Hint: page 129-130) 4. Design a 4-bit adder X + Y , where X-XyxMx, and Y-yyy), using full-adder block- diagram from (2). (Hint: page 130) 5. Modify the 4-bit adder in (4) to function as adder and subtractor (XY) with one-bit control. Use 2's complement. (Hint: page 139, lecture note, I's complement + 1, and exclusive-or gate) 6. How do you detect over-flow in (5)? 7. Observe the addition operations using 1's complement in Figure 3.8 (page 135) and 2's complement in Figure 3.9 (page 136), why is 2's complete better