Identify the operation performed by the circu | vedclass

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Question

(A) The circuit consists of three $NOT$ gates (implemented using $NOR$ gates with shorted inputs) followed by a $NOR$ gate. Let the inputs be $A, B, C

Vedclass · Accepted Answer

$AND$

Vedclass · Answer

(A) The circuit consists of three $NOT$ gates (implemented using $NOR$ gates with shorted inputs) followed by a $NOR$ gate. Let the inputs be $A, B, C$. The outputs of the three $NOT$ gates are $A' = \bar{A}$,$B' = \bar{B}$,and $C' = \bar{C}$. These are fed into a $NOR$ gate. The final output $Y$ is given by: $Y = \overline{A' + B' + C'} = \overline{\bar{A} + \bar{B} + \bar{C}}$. Using De Morgan's theorem,$\overline{\bar{A} + \bar{B} + \bar{C}} = \overline{\bar{A}} \cdot \overline{\bar{B}} \cdot \overline{\bar{C}} = A \cdot B \cdot C$. Thus,the circuit performs the $AND$ operation.

$A$	$B$	$Y$
$1$	$1$	$0$
$0$	$1$	$1$
$1$	$0$	$1$
$0$	$0$	$1$

Identify the operation performed by the circuit given below.

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