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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. [1] As a normal form, it is useful in automated theorem proving.
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[8] [9] This provides a procedure for converting between conjunctive normal form and disjunctive normal form. [10] Since the Disjunctive Normal Form Theorem shows that every formula of propositional logic is expressible in disjunctive normal form, every formula is also expressible in conjunctive normal form by means of effecting the conversion ...
Download QR code; Print/export ... Logical truth } Exclusive disjunction ... Template documentation. Usage. This template is for listing items in the see also ...
This template is for articles like Exclusive or. The colors white and red correspond to Venn diagrams like File:Venn0110.svg , as well as other files like File:Variadic logical XOR.svg . {{ 2-ary truth table | 0 | 1 | 1 | 0 |< math > A \oplus B </ math >}}
However, this will transform the conjunctive normal form into disjunctive normal form, and vice versa, which may be undesired. Monotone dualization is the problem of finding an expression for the dual function without changing the form of the expression, or equivalently of converting a function in one normal form into the dual form. [1]
In Boolean algebra, any Boolean function can be expressed in the canonical disjunctive normal form , [1] minterm canonical form, or Sum of Products (SoP or SOP) as a disjunction (OR) of minterms. The De Morgan dual is the canonical conjunctive normal form ( CCNF ), maxterm canonical form , or Product of Sums ( PoS or POS ) which is a ...