પરિપથમાં, જ્યારે $A$ અથવા $B$ આગળ સ્થિતિમાન $5\,V$ હોય ત્યારે લોછકલ કિંમત $A=1$ અથવા $B=1$ છે, અને જ્યારે $A$ અથવા $B$ આગળ સ્થિતિમાન $0\,V$ હોય ત્યારે લોગકલ કિંમત $A=0$ અથવા $B =0$ છે.આપેલ પરિપથ માટે સત્યાર્થ સારણી (ટૂથ ટેબલ) $........$ થશે.

Question

A

$A$ $B$ $y$

$0$ $0$ $0$

$1$ $0$ $0$

$0$ $1$ $0$

$1$ $1$ $1$
B

$A$ $B$ $y$

$0$ $0$ $0$

$1$ $0$ $1$

$0$ $1$ $1$

$1$ $1$ $1$
C

$A$ $B$ $y$

$0$ $0$ $0$

$1$ $0$ $0$

$0$ $1$ $0$

$1$ $1$ $0$
D

$A$ $B$ $y$

$0$ $0$ $1$

$1$ $0$ $1$

$0$ $1$ $1$

$1$ $1$ $0$

JEE MAIN 2022, Diffcult

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Solution

a
When both $A$ and $B$ have logical value $' 1 '$ both diode are reverse bias and current will flow in resistor hence output will be $5$ volt i.e. logical value '$1$'.

In all other case conduction will take place, hence output will be $zero$ volt i.e. logical value ' $0$ '.

So truth table is $(AND\,gate)$

$A$	$B$	$y$
$0$	$0$	$0$
$0$	$1$	$0$
$1$	$0$	$0$
$1$	$1$	$1$

\(A\)	\(B\)	\(y\)
\(0\)	\(0\)	\(0\)
\(0\)	\(1\)	\(0\)
\(1\)	\(0\)	\(0\)
\(1\)	\(1\)	\(1\)

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