De Morgan's Theorem
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.
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
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.