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Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): A logic circuit consisting of two NOT gates whose outputs are connected to the inputs of a NAND gate behaves as an OR gate. Reason (R): A NAND gate is a universal logic gate and can be used to construct any basic logic gate. In the light of the above statements, choose the most appropriate answer f

Options

  1. ABoth Assertion and Reason are correct but Reason is not the correct explanation for Assertion.
  2. BBoth Assertion and Reason are correct and Reason is the correct explanation for Assertion.
  3. CAssertion is correct but Reason is incorrect.
  4. DAssertion is incorrect but Reason is correct.

Correct answer

A. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion.

Step-by-step solution

Assertion (A) is correct: The inputs to the NAND gate are A and B . The output of the NAND gate is Y = A B . According to De Morgan's theorem, this simplifies to Y = A + B , which is the boolean expression for an OR gate. Reason (R) is correct: A NAND gate is indeed a universal gate, meaning it can be used to realize any basic logic gate (AND, OR, NOT). However, Reason (R) is a general factual statement and does not provide the mathematical explanation (De Morgan's theorem) for why this specific configuration resul

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