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What does Disjunctive Normal Form mean?

Definitions for Disjunctive Normal Form
dis·junc·tive nor·mal form

This dictionary definitions page includes all the possible meanings, example usage and translations of the word Disjunctive Normal Form.

Wiktionary

  1. disjunctive normal formnoun

    The form of a boolean formula that the formula has if the formula is a disjunction of conjunctions of literals, such as "(A and B and C) or (D and E and not F)".

Wikipedia

  1. Disjunctive normal form

    In boolean logic, a disjunctive normal form (DNF) is a canonical normal form of a logical formula consisting of a disjunction of conjunctions; it can also be described as an OR of ANDs, a sum of products, or (in philosophical logic) a cluster concept. As a normal form, it is useful in automated theorem proving.

Wikidata

  1. Disjunctive normal form

    In boolean logic, a disjunctive normal form is a standardization of a logical formula which is a disjunction of conjunctive clauses. As a normal form, it is useful in automated theorem proving. A logical formula is considered to be in DNF if and only if it is a disjunction of one or more conjunctions of one or more literals. A DNF formula is in full disjunctive normal form if each of its variables appears exactly once in every clause. As in conjunctive normal form, the only propositional operators in DNF are and, or, and not. The not operator can only be used as part of a literal, which means that it can only precede a propositional variable. For example, all of the following formulas are in DNF: However, the following formulas are NOT in DNF: Converting a formula to DNF involves using logical equivalences, such as the double negative elimination, De Morgan's laws, and the distributive law. All logical formulas can be converted into disjunctive normal form. However, in some cases conversion to DNF can lead to an exponential explosion of the formula. For example, in DNF, logical formulas of the following form have 2n terms: Any particular Boolean function can be represented by one and only one full disjunctive normal form, one of the two canonical forms.

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Numerology

  1. Chaldean Numerology

    The numerical value of Disjunctive Normal Form in Chaldean Numerology is: 1

  2. Pythagorean Numerology

    The numerical value of Disjunctive Normal Form in Pythagorean Numerology is: 9

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