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?

Question

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" /> (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

The given circuit diagram with the respective boolean expression is as shown below,

∴ The resultant C=A ⋅(A ⋅ B)=(A ⋅ A) ⋅ B=A ⋅ B This expression is equivalent to the boolean expression for a AND gate. Thus, its truth table will be

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?

The given circuit diagram with the respective boolean expression is as shown below,

$∴$ 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

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?

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

The given circuit diagram with the respective boolean expression is as shown below,

$∴$ 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