question_answer

Output \[Y\]is given by:

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

B)  \[(X+Y)Z\]         

C)         \[(X+Y)\bar{Z}\]             

D)         \[\bar{X}.\bar{Y}+Z\]

Correct Answer: A

Solution :

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