question_answer

Output W is given by:

A)  \[(X+Y)Z\]                         

B) \[(\overline{X}+\overline{Y})Z\]

C)  \[\overline{X}.\overline{Y}+\overline{Z}\]                         

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

Correct Answer: B

Solution :

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