Question 76: Semiconductors and Logic Gates

Question

The output $Y$ for the inputs $A$ and $B$ of circuit is given by
Truth table of the shown circuit is:
![](https://app-content.cdn.examgoal.net/fly/@width/image/1ldqzsgib/9f19ca6e-7ad4-41dc-86ac-493063ce931b/c5b27e30-a51c-11ed-8305-97c1292784a6/file-1ldqzsgic.png?format=png)

Accepted Answer

$Y = \overline {\left( {\overline A  + AB} \right)\left( {\overline B  + AB} \right)}  = \left( {A + B} \right)\left( {\overline A  + \overline B } \right)$
$ = A\overline B  + B\overline A $ (XOR gate)
![](['https://app-content.cdn.examgoal.net/fly/@width/image/1leoho6h8/1416d239-a3d2-499b-888d-937d610b06d1/9077a9b0-b788-11ed-8877-d5d81ac5ff88/file-1leoho6h9.png?format=png', 'https://app-content.cdn.examgoal.net/fly/@width/image/1leohpbid/70b5b780-efda-4356-9e66-fbb2911ba1cf/b029fb50-b788-11ed-8877-d5d81ac5ff88/file-1leohpbie.png?format=png'])

Answer

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Semiconductors and Logic Gates

The output Y for the inputs A and B of circuit is given by Truth table of the shown circuit is:

Choose the correct answer: