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Boolean algebra

Boolean algebra noun: an algebraic structure (Σ,∨,∧,∼,0,1) where ∨ and ∧ are idempotent binary operators, ∼ is a unary involutory operator (called "complement"), and 0 and 1 are nullary operators (i.e., constants), such that (Σ,∨,0) is a commutative monoid, (Σ,∧,1) is a commutative monoid, ∧ and ∨ distribute with respect to each other, and such that combining two complementary elements through one binary operator yields the identity of the other binary operator. (See Boolean algebra (structure)#Axiomatics.).

Noun

Boolean algebra (plural Boolean algebras)

  1. An algebraic structure (Σ,∨,∧,∼,0,1) where ∨ and ∧ are idempotent binary operators, ∼ is a unary involutory operator (called "complement"), and 0 and 1 are nullary operators (i.e., constants), such that (Σ,∨,0) is a commutative monoid, (Σ,∧,1) is a commutative monoid, ∧ and ∨ distribute with respect to each other, and such that combining two complementary elements through one binary operator yields the identity of the other binary operator. (See Boolean algebra (structure)#Axiomatics.)
    • The set of divisors of 30, with binary operators: g.c.d. and l.c.m., unary operator: division into 30, and identity elements: 1 and 30, forms a Boolean algebra.
    • A Boolean algebra is a De Morgan algebra which also satisfies the law of excluded middle and the law of noncontradiction.
  2. Specifically, an algebra in which all elements can take only one of two values (typically 0 and 1, or "true" and "false") and are subject to operations based on AND, OR and NOT
  3. The study of such algebras; Boolean logic, classical logic.

Boolean algebra meaning in Tamil

Boolean algebra in Tamil

பூலியன் இயற்கணிதம், பூல்இயற்கணிதம், பூவின் அல்ஜீப்ரா, போல் இயற் கணிதம்

Synonyms of Boolean algebra

Forms of Boolean algebra

pluralBoolean algebras

Origin of Boolean algebra

Named after George Boole (1815–1864), an English mathematician, educator, philosopher and logician.

Words formed from Boolean algebra

Questions about Boolean algebra

What does Boolean algebra mean?
Boolean algebra means an algebraic structure (Σ,∨,∧,∼,0,1) where ∨ and ∧ are idempotent binary operators, ∼ is a unary involutory operator (called "complement"), and 0 and 1 are nullary operators (i.e., constants), such that (Σ,∨,0) is a commutative monoid, (Σ,∧,1) is a commutative monoid, ∧ and ∨ distribute with respect to each other, and such that combining two complementary elements through one binary operator yields the identity of the other binary operator. (See Boolean algebra (structure)#Axiomatics.).
What is Boolean algebra in Tamil?
Boolean algebra in Tamil is பூலியன் இயற்கணிதம், பூல்இயற்கணிதம், பூவின் அல்ஜீப்ரா. See Boolean algebra meaning in Tamil.
What part of speech is Boolean algebra?
Boolean algebra is a noun.
What is the plural of Boolean algebra?
The plural of Boolean algebra is Boolean algebras.

Words near Boolean algebra in the dictionary

  1. Boole
  2. Boole Poole
  3. Boole's inequalities
  4. Boole's inequality
  5. boolean
  6. Boolean algebra
  7. Boolean algebras
  8. Boolean atom
  9. Boolean atoms
  10. Boolean circuit
  11. Boolean circuits

Source and license

Adapted from Wiktionary: Boolean algebra (page history and authors); boolean algebra (Tamil Wiktionary) (page history and authors). Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws reformatted the entry and added links. Wiktionary data of 2026-09-02.

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