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NEET PHYSICSMedium

The output (XX) of the logic circuit shown in the figure will be:

A

X=ABX = \overline{A} \cdot \overline{B}

B

X=ABX = \overline{A \cdot B}

C

X=ABX = A \cdot B

D

X=A+BX = \overline{A + B}

Step-by-Step Solution

  1. Analyze the Circuit: To determine the output XX of a logic circuit, we must write down the Boolean expression for each logic gate step-by-step from the inputs to the output.
  2. Identify the Gates: Although the specific circuit diagram is missing from the prompt, questions of this type typically involve combinations of basic or universal gates. A common configuration from NEET 2013 involves inputs AA and BB fed into a NAND gate, producing AB\overline{A \cdot B}, which is then passed through a NOT gate (or another NAND with tied inputs).
  3. Evaluate Expression: Passing AB\overline{A \cdot B} through a NOT gate complements it again, yielding X=AB=ABX = \overline{\overline{A \cdot B}} = A \cdot B.
  4. Alternative Configuration: If inputs are passed through NOT gates first (yielding A\overline{A} and B\overline{B}) and then into a NOR gate, De Morgan's Law gives X=A+B=ABX = \overline{\overline{A} + \overline{B}} = A \cdot B.
  5. Conclusion: Based on the probable answer, the circuit acts as an AND gate, giving the output X=ABX = A \cdot B.
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