Two full-adder implementations are presented in Figure (a) & (b). (1)  Prove that these two implementations are functionally equivalent using Boolean theorems. (Hint: Consensus) 2)Which one of the two full-adder implementation above would you choose for your design? Justify your choice. 3)For the implementation you chose, convert the full-adder to a full-subtracter, assuming negative numbers are represented in 2’s complement. (Hint: remind how the subtraction processes in 2’s complement)

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Two full-adder implementations are presented in Figure (a) & (b).

(1)  Prove that these two implementations are functionally equivalent using Boolean theorems. (Hint: Consensus)

2)Which one of the two full-adder implementation above would you choose for your design? Justify your choice.

3)For the implementation you chose, convert the full-adder to a full-subtracter, assuming negative numbers are represented in 2’s complement. (Hint: remind how the subtraction processes in 2’s complement)

Sum
Sum
Cout
Cout
(a) 1 3-in XOR, 3 2-in AND, and 1 3-in OR.
(b) 2 2-in XOR, 2 2-in AND, and 1 2-in OR.
Figure 1: Tuo different implementations of a full-adder
Transcribed Image Text:Sum Sum Cout Cout (a) 1 3-in XOR, 3 2-in AND, and 1 3-in OR. (b) 2 2-in XOR, 2 2-in AND, and 1 2-in OR. Figure 1: Tuo different implementations of a full-adder
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