De Morgan's Theorem

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De Morgan’s Theorem gives the following equations on set operations.

(A ∪ B)’ = A’ ∩ B’

(A ∩ B)’ = A’ ∪ B’

De Morgan’s Theorem can be used to simplify expressions involving set operations. It is also used in Physics for the simplification of Boolean expressions and digital circuits.

The following diagrams show the De Morgan’s Theorem. Scroll down the page for more examples and solutions.
De Morgan's Theorem

Illustrate De Morgan’s Theorem using sets and set operations

An Example of De Morgan’s Laws

How to simplify Boolean expressions and digital circuits using the DeMorgan’s Theorems.
DeMorgan’s Theorems Tutorial

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