What is the output Y for the logic circuit shown in the figure?

Question

Question

This question was previously asked in

UPSC ESE Electronics & Communication 2022 Official Paper

Answer 1

F2 Savita Engineering 14-11-22 D26

EQUATION 1 = $\overset{―}{\bar{A} + \bar{A}}$ $= \overset{―}{1} = 0$

EQUATION 2= $A . \overset{―}{B}$

EQUATION 3= $A . B$

EQUATION 4 = $\overset{―}{0} = 1$

EQUATION 5 = $1. (A . \overset{―}{B}) = (A \overset{―}{B})$

EQUATION 6= $\overset{―}{(A B)} = \overset{―}{A B}$

$Y = A \overset{―}{B} + \overset{―}{A B}$

$Y = A \overset{―}{B} + \overset{―}{A} + \overset{―}{B}$

$Y = \overset{―}{A} + \overset{―}{B} (1 + A)$

$Y = \overset{―}{A} + \overset{―}{B}$