# Definition of de Morgan's laws in English:

## de Morgan's laws

Pronunciation: /də ˈmôrɡənz 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.
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.

## Origin

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

## For editors and proofreaders

Syllabification: de Mor·gan's laws

## What do you find interesting about this word or phrase?

Comments that don't adhere to our Community Guidelines may be moderated or removed.

Most popular in the world
Most popular in the US
Most popular in the UK
Most popular in Canada
Most popular in Australia
Most popular in Spain
Most popular in Malaysia
Most popular in India
Most popular in Pakistan
= trending