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.

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

Similar Questions

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