What does functional completeness mean?

Definitions for functional completeness
func·tional com·plete·ness

This dictionary definitions page includes all the possible meanings, example usage and translations of the word functional completeness.

Wikipedia

  1. Functional completeness

    In logic, a functionally complete set of logical connectives or Boolean operators is one which can be used to express all possible truth tables by combining members of the set into a Boolean expression. A well-known complete set of connectives is { AND, NOT }. Each of the singleton sets { NAND } and { NOR } is functionally complete. However, the set { AND, OR } is incomplete, due to its inability to express NOT. A gate or set of gates which is functionally complete can also be called a universal gate / gates. A functionally complete set of gates may utilise or generate 'garbage bits' as part of its computation which are either not part of the input or not part of the output to the system. In a context of propositional logic, functionally complete sets of connectives are also called (expressively) adequate.From the point of view of digital electronics, functional completeness means that every possible logic gate can be realized as a network of gates of the types prescribed by the set. In particular, all logic gates can be assembled from either only binary NAND gates, or only binary NOR gates.

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Numerology

  1. Chaldean Numerology

    The numerical value of functional completeness in Chaldean Numerology is: 8

  2. Pythagorean Numerology

    The numerical value of functional completeness in Pythagorean Numerology is: 9

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"functional completeness." Definitions.net. STANDS4 LLC, 2024. Web. 1 May 2024. <https://www.definitions.net/definition/functional+completeness>.

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