MCQEasyJEE 2024Logic Gates

JEE Physics 2024 Question with Solution

Identify the logic operation performed by the given circuit.

  • A

    NAND

  • B

    NOR

  • C

    OR

  • D

    AND

Answer

Correct answer:C

Step-by-step solution

Standard Method

Given: A circuit with two NOT gates and one OR gate.

Find: The logic operation performed by the overall circuit.

Each input passes through a NOT gate first, so the inputs become A\overline{A} and B\overline{B}. These inverted outputs are then combined by the OR gate.

So the output can be written as

Y=A+BY = \overline{A} + \overline{B}

the solution further simplifies the circuit using De-Morgan’s law as

Y=AB=A+B=A+BY = \overline{\overline{A} \cdot \overline{B}} = \overline{\overline{A}} + \overline{\overline{B}} = A + B

Hence, the overall logic operation is OR. Therefore, the correct option is C.

Using truth-table reasoning

Given: Each input AA and BB is first inverted, and the resulting signals are applied to an OR gate.

Find: Which logic operation the circuit represents.

A NOT gate inverts its input:

  • If A=0A = 0, then A=1\overline{A} = 1
  • If A=1A = 1, then A=0\overline{A} = 0
  • If B=0B = 0, then B=1\overline{B} = 1
  • If B=1B = 1, then B=0\overline{B} = 0

Now these outputs enter an OR gate, which gives output 11 when at least one input is 11.

Thus, the final operation corresponds to an OR-type output. Therefore, the correct option is C, that is, OR.

Common mistakes

  • A common mistake is to identify only the last gate and ignore the effect of the preceding NOT gates. This is wrong because the overall operation depends on the complete combination of gates. Always simplify the full expression before choosing the logic function.

  • Students may confuse OR and NOR because both involve an OR stage. This is wrong because a NOR gate would require inversion after the OR operation. Here, the inversions occur at the inputs, not at the final output.

Practice more Logic Gates questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step — free to start.

Related questions