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Implicant ○꠹｜Definition｜1st｜20251122011306-00-⌔

Implicant - Wikipedia

Implicant

In Boolean logic, the term implicant has either a generic or a particular use. In the generic use, it refers to the hypothesis of an implication (implicant). In the particular use, a product term (i.e., a conjunction of literals) P is an implicant of a Boolean function F, denoted $P\le F$, if P implies F (i.e., whenever P takes the value 1 so does F). For instance, implicants of the function

• ✤ $f(x,y,z,w)=xy+yz+w$

include the terms $xy$, $xyz$, $xyzw$, $w$, as well as some others.

Printed 2026-06-28.

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