Q147 / 180 · COMEDK 2023 (Morning Shift) · Physics
Which logic gate is represented by the following combination logic gates?


- ANOR
- Correct answerBAND
- CNAND
- DOR
Solution
The given circuit consists of two NOT gates followed by a NOR gate.
Let the inputs be $A$ and $B$.
The output of the first NOT gate is $\overline{A}$.
The output of the second NOT gate is $\overline{B}$.
These two signals are fed into a NOR gate. The output $Y$ of a NOR gate with inputs $X_1$ and $X_2$ is $\overline{X_1 + X_2}$.
Substituting $X_1 = \overline{A}$ and $X_2 = \overline{B}$, we get $Y = \overline{\overline{A} + \overline{B}}$.
Using De Morgan's Law, $\overline{\overline{A} + \overline{B}} = \overline{\overline{A}} \cdot \overline{\overline{B}} = A \cdot B$.
The expression $Y = A \cdot B$ represents the AND logic gate.
Answer: AND
Let the inputs be $A$ and $B$.
The output of the first NOT gate is $\overline{A}$.
The output of the second NOT gate is $\overline{B}$.
These two signals are fed into a NOR gate. The output $Y$ of a NOR gate with inputs $X_1$ and $X_2$ is $\overline{X_1 + X_2}$.
Substituting $X_1 = \overline{A}$ and $X_2 = \overline{B}$, we get $Y = \overline{\overline{A} + \overline{B}}$.
Using De Morgan's Law, $\overline{\overline{A} + \overline{B}} = \overline{\overline{A}} \cdot \overline{\overline{B}} = A \cdot B$.
The expression $Y = A \cdot B$ represents the AND logic gate.
Answer: AND
Hence, the correct answer is option: 'B'.