First slide

Logic gates

Question

The configuration of gate shown in figure is equivalent to

Moderate

A

NAND
B

XOR
C

OR
D

none of these

Solution

$Y = (A + B) . (\bar{A . B}) = (A + B) . (\bar{A} + \bar{B}) A . \bar{A} + A . \bar{B} + B . \bar{A} + B . \bar{B} = 0 + A . \bar{B} + B . \bar{A} + 0$
$\Rightarrow Y = A . \bar{B} + B . \bar{A} \Rightarrow XOR gate$

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