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Question

Physics Question on Logic gates

The output of the given logic circuit is :

A

AˉB\bar{A}B

B

ABˉA\bar{B}

C

AB+ABˉAB + \bar{AB}

D

ABˉ+AˉBA\bar{B} + \bar{A}B

Answer

ABˉA\bar{B}

Explanation

Solution

Y=(Aˉ+Bˉ)Aˉ‾Y = \overline{\left(\bar{A} +\bar{B}\right)\bar{A}} =Aˉ+AˉB‾ =\overline{\bar{A} +\bar{A}B} =A(AˉB‾)= A \left(\overline{\bar{A}B}\right) =A+ABˉ=ABˉ= A +A \bar{B} = A \bar{B}