# Definition of *de Morgan's laws* in English:

## de Morgan's laws

Syllabification: de Mor·gan's lawsPronunciation: /di ˈmôrgənz ˌlôz
/

*Mathematics*

- Two laws in Boolean algebra and set theory that state that AND and OR, or union and intersection, are dual. They are used to simplify the design of electronic circuits.
- The laws can be expressed in Boolean logic as: NOT (
*a*AND*b*) = NOT*a*OR NOT*b*; NOT (*a*OR*b*) = NOT*a*AND NOT*b*

More example sentences- In logic, De Morgan's laws (or De Morgan's theorem), named for nineteenth century logician and mathematician Augustus De Morgan, are two powerful rules of Boolean algebra and set theory.
- This completes the proof of the first of De Morgan's laws; the second is obtained by similar reasoning.
- In set theory, de Morgan's laws relate the three basic set operations to each other; the union, the intersection, and the complement.

- The laws can be expressed in Boolean logic as: NOT (

### Origin

early 20th century: named after Augustus de Morgan (1806–71), English mathematician, but already known (by logicians) as principles in the Middle Ages.

## More definitions of **de Morgan's laws**

Definition of **de Morgan's laws**in:

- The British & World English dictionary