Question:medium

Following truth table represent which logic gate -

ABC
110
011
101
001

Updated On: May 1, 2026
  • XOR

  • NOT

  • NAND

  • AND

Show Solution

The Correct Option is C

Solution and Explanation

The given truth table corresponds to a specific logic gate. Let's analyze the truth table to identify which logic gate it represents:

ABC
110
011
101
001

To identify the logic gate, let's evaluate the behavior exhibited by columns A, B, and the corresponding output C: 

  1. When both inputs A and B are 1, the output C is 0.
  2. In all other cases (when at least one of the inputs A or B is 0), the output C is 1.

This behavior is characteristic of the NAND gate, which outputs 0 only when all inputs are 1. For any other combination of inputs, the output is 1.

Now, let's rule out the other options:

  • XOR: Produces a true output (1) only when the inputs differ. The table does not match this behavior.
  • NOT: Has only one input and inverts the input. Our table has two inputs.
  • AND: Produces a true output (1) only when all inputs are true. This does not match our truth table because our table gives an output of 0 when both inputs are 1.

Hence, the correct answer is that the given truth table represents a NAND gate.

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