A) \[({{x}_{2}}+{{x}_{3}}).[({{x}_{1}}.{{x}_{2}}).x_{3}^{}]\]
B) \[({{x}_{2}}+x_{3}^{}).[({{x}_{1}}.\,{{x}_{2}})\,.\,x_{3}^{}]\]
C) \[({{x}_{2}}+{{x}_{3}})+[({{x}_{1}}.\,{{x}_{2}})\,.\,x_{3}^{}]\]
D) \[({{x}_{2}}.{{x}_{3}})+[({{x}_{1}}.\,{{x}_{2}})\,.\,x_{3}^{}]\]
E) \[({{x}_{1}}+{{x}_{3}})+[({{x}_{1}}.\,{{x}_{2}})\,.\,x_{3}^{}]\]
Correct Answer: A
Solution :
The output of the given circuit is \[({{x}_{2}}+{{x}_{3}}).[({{x}_{1}}.{{x}_{2}})x_{3}^{}]\]
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