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)
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)
Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Question
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)

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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