Solveeit Logo
Login

Question

Mathematics Question on mathematical reasoning

The boolean expression corresponding to the combinational circuit is

A

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

B

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

C

(x1.(x2+x3))+x′2({{x}_{1}}.({{x}_{2}}+x_{3}^{}))+{{x'}_{2}}

D

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

Answer

(x1.(x2+x3))+x′2({{x}_{1}}.({{x}_{2}}+x_{3}^{}))+{{x'}_{2}}

Explanation

Solution

The boolean expression corresponding to the given circuit is
(x1.(x2+x3))+x2({{x}_{1}}.({{x}_{2}}+x_{3}^{}))+{{x}_{2}} .