Which logic gate is represented by the follow | vedclass

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(C) The given circuit consists of two $NOT$ gates connected to the inputs $A$ and $B$,followed by a $NOR$ gate.The outputs of the $NOT$ gates are $\ba

Vedclass · Accepted Answer

$AND$

Vedclass · Answer

(C) The given circuit consists of two $NOT$ gates connected to the inputs $A$ and $B$,followed by a $NOR$ gate.The outputs of the $NOT$ gates are $\bar{A}$ and $\bar{B}$.These are fed as inputs to the $NOR$ gate,so the final output $Y$ is given by the Boolean expression:$Y = \overline{\bar{A} + \bar{B}}$Using De Morgan's theorem,$\overline{X + Y} = \bar{X} \cdot \bar{Y}$. Applying this to the expression:$Y = \overline{\bar{A}} \cdot \overline{\bar{B}}$Since $\overline{\bar{A}} = A$ and $\overline{\bar{B}} = B$,we get:$Y = A \cdot B$This is the Boolean expression for an $AND$ gate. Therefore,the combination represents an $AND$ gate.

Which logic gate is represented by the following combination of logic gates?

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