In the logic circuit shown in the figure, output X is

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In the logic circuit shown in the figure, output X is

1. A B + B C + C A
2. A + B + C
3. AB + BC + CA
4. AB + BC + CA

Correct Option: C

x = ABC + AB + AC
= (A B + A) C + AB
= (A + A) (B + A) C + AD
= (A + B) C + AB
= AC + BC + AB