question_answer

Output Y is given by :

A)  \[(\overline{X}\,.\,\,\overline{Y})\,.\,\,Z\]

B)  \[(X\,.\,\,Y)\,.\,\,Z\]

C)  \[(X\,+\,Y)\overline{Z}\]

D)  \[(\overline{X}\,.\,\overline{Y}+\overline{Z}\]

Correct Answer: A

Solution :

We can realise the combination as shown below. Gate-1, is OR gate while gate-2 is AND gate.                 Output of OR gate, \[{{W}_{1}}=\overline{X}+\overline{Y}\] Thus, output of AND gate,                 \[W={{W}_{1}}\,.\,\,Z\] \[=(\overline{X}+\overline{Y})\,.\,\,Z\]