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What logic function is produced by adding an inverter to each input and the output of an AND gate?

A. NAND

B. NOR

C. OR

D. XOR

E. None of the above

Answer: Option C

Solution (By Examveda Team)

Let inputs be A and B.

Inverting each input gives A′ and B′ to the AND gate.

The AND gate outputs A′ · B′.

Now, the output inverter changes A′ · B′ into (A′ · B′)′.

By De Morgan’s law: (A′ · B′)′ = A + B.

A + B is the OR function, not NOR.

The NOR function would be (A + B)′, which is not what we have here.

Therefore: Adding inverters to each input and the output of an AND gate produces an OR gate.

This Question Belongs to Computer Science >> Digital Computer Electronics

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Comments (1)

  1. Saifuzzaman Sangram
    Saifuzzaman Sangram:
    2 months ago

    wrong answer.. It should be NOR if not gate is added to the inputs of a AND gate

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