To get output '1' at R , for the given logic gate circuit the input values must be:

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Question: Answered & Verified by Expert

To get output '1' at

R,

for the given logic gate circuit the input values must be:

PhysicsSemiconductorsJEE MainJEE Main 2019 (10 Jan Shift 1)

Options:

A $X = 1, Y = 1$
B $X = 0, Y = 0$
C $X = 0, Y = 1$
D $X = 1, Y = 0$

Solution:

2043 Upvotes Verified Answer

The correct answer is:

X = 1, Y = 0

$R = \bar{(\bar{X} + Y) + (\bar{X \cdot \bar{Y}})} = (\bar{\bar{X} + Y}) \cdot (\bar{\bar{X . \bar{Y}}}) = (X . \bar{Y}) \cdot (X . \bar{Y}) = (X . \bar{Y})$

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