question_answer

The output s as a Boolean expression in the inputs\[{{x}_{1}},{{x}_{2}}\]and\[{{x}_{3}}\]for the logic circuit in the following figure is:

A)  \[{{x}_{1}},x_{2}^{}+x_{2}^{}+{{x}_{3}}\]

B)  \[{{x}_{1}}+x_{2}^{}{{x}_{3}}+{{x}_{3}}\]

C)  \[({{x}_{1}}{{x}_{2}})+{{x}_{1}}x_{2}^{}{{x}_{3}}\]

D)  \[{{x}_{1}}+x{{}_{2}}+{{x}_{3}}\]

E)  \[{{x}_{1}}x{{}_{2}}+x{{}_{2}}{{x}_{3}}\]

Correct Answer: E

Solution :

Thus as shown in the figure, the output \[s={{x}_{1}}x{{}_{2}}+x{{}_{2}}{{x}_{3}}\]