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Question

Mathematics Question on mathematical reasoning

The output of the circuit is

A

{{x}_{3}}.(x'_{1}^{}+{{x}_{2}})

B

(x'_{3}^{}+{{x}_{2}}).{{x}_{1}}

C

x'_{3}^{}({{x}_{1}}+{{x}_{2}})

D

(x1+x2).x3({{x}_{1}}+{{x}_{2}}).{{x}_{3}}

Answer

x'_{3}^{}({{x}_{1}}+{{x}_{2}})

Explanation

Solution

The output of the given circuit is x3.(x1+x2)x_{3}^{}.({{x}_{1}}+{{x}_{2}}) .