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De Morgan's laws

Definition of De Morgan's laws

noun

Mathematics
  • two laws in Boolean algebra and set theory which 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

Origin:

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

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