question_answer

The output Y of the logic circuit as shown in figure is:

A) \[\left( A+B \right).\overline{C}\]             

B) \[\left( A+C \right).\overline{B}\]

C) \[\left( B+C \right).\bar{A}\]       

D) \[\operatorname{A}+B+\bar{C}\]

Correct Answer: A

Solution :

\[=\overline{\bar{A}.\bar{B}}.\bar{C}=\left( \operatorname{A}+B \right)\bar{C}\]