What logic gate is formed by the combination | vedclass

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(B) The given circuit consists of two $NOT$ gates (formed by shorting the inputs of two $NOR$ gates) followed by a $NOR$ gate.Let the inputs be $A$ an

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$AND$ gate

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(B) The given circuit consists of two $NOT$ gates (formed by shorting the inputs of two $NOR$ gates) followed by a $NOR$ gate.Let the inputs be $A$ and $B$.The output of the first $NOR$ gate with inputs $A$ and $A$ is $Y_1 = \overline{A+A} = \overline{A}$.The output of the second $NOR$ gate with inputs $B$ and $B$ is $Y_2 = \overline{B+B} = \overline{B}$.These outputs $Y_1$ and $Y_2$ are fed into the final $NOR$ gate.The final output $Y$ is given by $Y = \overline{Y_1 + Y_2} = \overline{\overline{A} + \overline{B}}$.Using De Morgan's theorem,$\overline{\overline{A} + \overline{B}} = \overline{\overline{A}} \cdot \overline{\overline{B}} = A \cdot B$.Thus,the final output is $Y = A \cdot B$,which represents an $AND$ gate.

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

What logic gate is formed by the combination of gates shown below?

Similar Questions

Identify the logic operation carried out by the given circuit :-

Select the outputs $Y$ of the combination of gates shown below for inputs $A = 0, B = 0$; $A = 1, B = 1$ and $A = 0, B = 1$ respectively.

Which of the following is the Boolean expression for a $NOR$ gate?

For the given truth table, where $A, B$, and $C$ are inputs and $Y$ is the output, determine the functional form of the circuit.
$A$ $B$ $C$ $Y$
$0$ $0$ $0$ $1$
$0$ $0$ $1$ $1$
$0$ $1$ $0$ $0$
$0$ $1$ $1$ $0$
$1$ $0$ $0$ $1$
$1$ $0$ $1$ $1$
$1$ $1$ $0$ $0$
$1$ $1$ $1$ $0$

The truth table for the given logic circuit is:

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

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