Q147 / 180 · COMEDK 2023 (Morning Shift) · Physics

Which logic gate is represented by the following combination logic gates? Figure

  • A
    NOR
  • Correct answer
    B
    AND
  • C
    NAND
  • D
    OR

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

Hence, the correct answer is option: 'B'.

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