Q134 / 150 · MHT CET 2026 (16 April Shift 1) · Physics
The resultant gate and its Boolean expression in the given circuit is
- A$\text{AND}, \overline{\text{A} + \text{B}}$
- B$\text{NAND}, \text{A} + \text{B}$
- Correct answerC$\text{OR}, \text{A} + \text{B}$
- D$\text{NOR}, \text{A} - \text{B}$
Solution
The given circuit consists of a NOR gate followed by a NOT gate.
The output of the NOR gate is given by:
$C = \overline{A + B}$
This output $C$ is then passed through a NOT gate. The final output $Y$ is:
$Y = \overline{C}$
Substituting the value of $C$, we get:
$Y = \overline{\overline{A + B}}$
Using the property of Boolean algebra $\overline{\overline{X}} = X$, we have:
$Y = A + B$
This is the Boolean expression for an OR gate.
Answer: $\text{OR}, \text{A} + \text{B}$
The output of the NOR gate is given by:
$C = \overline{A + B}$
This output $C$ is then passed through a NOT gate. The final output $Y$ is:
$Y = \overline{C}$
Substituting the value of $C$, we get:
$Y = \overline{\overline{A + B}}$
Using the property of Boolean algebra $\overline{\overline{X}} = X$, we have:
$Y = A + B$
This is the Boolean expression for an OR gate.
Answer: $\text{OR}, \text{A} + \text{B}$
Hence, the correct answer is option: 'C'.