English

One of the DeMorgan's theorems states that (x=y)' = x'y'. Simply stated, this means that logically there is no difference between ______.

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Question

One of the DeMorgan's theorems states that (x=y)' = x'y'. Simply stated, this means that logically there is no difference between ______.

Options

  • A NOR and an AND gate with inverted inputs

  • A NAND and an OR gate with inverted inputs

  • An AND and a NOR gate with inverted inputs

  • A NOR and a NAND gate with inverted inputs

MCQ
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Solution

One of the DeMorgan's theorems states that (x=y)' = x'y'. Simply stated, this means that logically there is no difference between A NOR and an AND gate with inverted inputs.

Explanation:

By DeMorgan’s theorem, [(x+y)'=x'y'].

A NOR gate therefore has the same function as an AND gate whose two inputs are inverted.

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Chapter 13: Application of Boolean Logic - EXERCISE [Page 256]

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CBSE Computer Science with Python [English] Class 12
Chapter 13 Application of Boolean Logic
EXERCISE | Q 1. | Page 256
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