Design a four-bit combinational circuit 2’s complementer. (The output generates the 2’s complement of the input binary number.) Show that the circuit can be constructed with exclusive-OR gates. Can you predict what the output functions are for a five-bit 2’s complementer?
1. Truth table
2. Logic circuit with exclusive-OR gates
3.The output functions for a five-bit 2’s complementer
Answer:
Let us take a 4-bit binary combinational circuit which generates the output as 2's complement of the given input binary number. And the truth table is:-
Using K-map, The outputs w,x,y and z be simplified as:
The combinational circuit with exclusive-OR gates is:
Let the fifth bit be 'E' and its output is 'v' :
The truth table is:
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