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