Q64 / 90 · JEE Main 2021 (17 Mar Shift 2) · Physics

Which one of the following will be the output of the given circuit?

A
NOR Gate
B
NAND Gate
C
AND Gate
Correct answer
D
XOR Gate

Solution

Output of the above circuit can be obtained as

$y = (\bar{A \cdot B}) \cdot (A + B)$

$y = (\bar{A} + \bar{B}) \cdot (A + B)$

$y = \bar{A} . B + \bar{B} . A + A . \bar{A} + B . \bar{B}$

$y = \bar{A} . B + \bar{B} . A + 0 + 0$

$y = \bar{A} . B + \bar{B} . A$ , which is XOR gate

Hence, the correct answer is option: 'D'.

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