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DeMorgan's Theorem basics

This page covers DeMorgan's Theorem basics and mention example application of DeMorgan's Theorem.

➨RULE-1: Complement of a product of terms is equal to sum of the complements of each term.

➨RULE-2: Complement of a sum of terms is equal to product of the complements of each term.


Following are the equations which describe DeMorgan's Theorem:
DeMorgan Theorem

How to REMEMBER?
➨BREAK THE LINE, CHANGE THE SIGN
Break the LINE over the two variables, and change the SIGN directly under the line.

Example application of DeMorgan's Theorem

Boolean and DeMorgan Rules

Let us understand how to simplify Boolean expression mentioned below. Use boolean or DeMorgan's theorem mentioned above. Write the final answer in SOP form.

Boolean and DeMorgan EXAMPLE

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