NEETPhysicsSemiconductors
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 a NAND gate followed immediately by a NOT gate is functionally equivalent to an OR gate. Reason (R): According to De Morgan's theorem, the complement of a product of variables is equal to the sum of their individual complements. In the light of the above statements, ch
Options
- ABoth (A) and (R) are correct and (R) is the correct explanation of (A)
- BBoth (A) and (R) are correct but (R) is not the correct explanation of (A)
- C(A) is correct but (R) is not correct
- D(A) is not correct but (R) is correct
Correct answer
D. (A) is not correct but (R) is correct
Step-by-step solution
Assertion (A) is not correct. The output of a NAND gate with inputs A and B is A B . When this output is passed through a NOT gate, the final output is A B , which simplifies to A B according to the principle of double negation. This is the Boolean expression for an AND gate, not an OR gate. Reason (R) is correct. De Morgan's theorem states that A B = A + B , which means the complement of a product of variables is indeed equal to the sum of their individual complements. Therefore, (A) is not correct but (R) is corr