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  4. The following figure is the combination of logic gates. The inputs are A and B. The output is C. Which one of the following choices gives the correct matching? <img class=img-fluid question-image alt=image src=https://cdn.tardigrade.in/img/question/physics/86aac6ef95db2ee35c09b0d47bed4148-.png />

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Q. The following figure is the combination of logic gates. The inputs are A and B. The output is C. Which one of the following choices gives the correct matching?
image

KEAMKEAM 2019

Solution:

The given circuit diagram with the respective boolean expression is as shown below,
image
$\therefore $ The resultant $C=A \cdot(A \cdot B)=(A \cdot A) \cdot B=A \cdot B$
This expression is equivalent to the boolean expression for a AND gate. Thus, its truth table will be
image