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Question

Question: The truth table shown in figure is for A 0 0 1 1 B 0 1 0 1 Y 1 0 0 1...

The truth table shown in figure is for

A 0 0 1 1

B 0 1 0 1

Y 1 0 0 1

A

XOR

B

AND

C

XNOR

D

OR

Answer

XNOR

Explanation

Solution

For ‘XNOR’ gate Y=AˉBˉ+ABY = \bar{A}\bar{B} + AB

i.e. 0ˉ.0ˉ+0.0=1.1+0.0=1+0=1\bar{0}.\bar{0} + 0.0 = 1.1 + 0.0 = 1 + 0 = 1

0ˉ.1ˉ+0.1=1.0+0.1=0+0=0\bar{0}.\bar{1} + 0.1 = 1.0 + 0.1 = 0 + 0 = 0

1ˉ.0ˉ+1.0=0.1+1.0=0+0=0\bar{1}.\bar{0} + 1.0 = 0.1 + 1.0 = 0 + 0 = 0

1ˉ.1ˉ+1.1=0.0+1.1=0+1=1\bar{1}.\bar{1} + 1.1 = 0.0 + 1.1 = 0 + 1 = 1