Question

Output $Y$ is given by:

• A. $(\bar{X}.\bar{Y}).Z$
• B. $(X+Y)Z$
• C. $(X+Y)\bar{Z}$
• D. $\bar{X}.\bar{Y}+Z$

Answer 1

Answer: (A)

We can realise the combination as shown below.
Gate-$1$ is OR gate while gate-$2$ is AND gate.

Output of OR gate, $W_1=\bar{X}+\bar{Y}$
Thus, output of AND gate,
$W=W_1\cdot Z$
$=(\vec{X}+\bar{Y})\cdot Z$