Question

# Design a four-bit combinational circuit 2’s complementer. (The output generates the 2’s complement of the input...

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

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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