According to DeMorgan's theorem:

2016

According to DeMorgan's theorem:

Answer: D. a NAND gate is equivalent to negative-OR (inverted OR) gateCorrect Answer: Option D.According to DeMorgan's theorem: (A · B)′ = A′ + B′ and (A + B)′ = A′ · B′ A NAND gate performs the operation (A · B)′. Using…

  1. A.

    a NAND gate is equivalent to negative-AND (inverted AND) gate

  2. B.

    a NOR gate is equivalent to negative-OR (inverted OR) gate

  3. C.

    a NAND gate is equivalent to NOR gate

  4. D.

    a NAND gate is equivalent to negative-OR (inverted OR) gate

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Correct answer: D

Correct Answer: Option D.

According to DeMorgan's theorem:
(A · B)′ = A′ + B′
and
(A + B)′ = A′ · B′

A NAND gate performs the operation (A · B)′.

Using DeMorgan's theorem:
(A · B)′ = A′ + B′

This means the NAND operation is equivalent to first inverting both inputs and then applying OR. Therefore, a NAND gate is equivalent to a negative-OR gate, also called an inverted-input OR gate.

Similarly, a NOR gate is equivalent to a negative-AND gate.

Correct Answer: Option D.

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