NAND gate is the reciprocal of AND gate. Discuss.

Show that the circuit given as below acts as AND gate?



Q: NAND gate is the reciprocal of AND gate. Discuss.

Ans: NAND gate is simply an AND operation followed by NOT operation. It is obtained when NOT gate is coupled with its output terminal.

NAND gate is the reciprocal of AND gate. Discuss.



The Truth Table of AND Gate is:

A
B
X=A.B
0
0
0
0
1
0
1
0
0
1
1
1

The Truth Table of NAND Gate is:


A
B
______
X=A.B
0
0
1
0
1
1
1
0
1
1
1
0

If NOT gate is Attached with the output terminal of NAND gate then it gives AND Gate or If NOT gate is attached with the output terminal of AND gate then it gives NAND gate.
Therefore, NAND gate is reciprocal of AND gate.

=====
X=A.B    =   X=A.B



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