(a) Implement a Full Adder using 4:1 multiplexer (4-bit MUX).
(b) Propose a circuit to add five 1-bit numbers, D, E, F, G, and H, using a Half Adder and two Full Adders.
(c) Using an FA (input carry bit Ci), AND and OR logic gates, an inverter, and two select inputs, S0 and S1, design a logic circuit that can perform the operations given in Table 1.