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Maxterm ○꠹｜Definition｜1st｜20260113235348-00-⌔
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Maxterms
For a boolean function of n variables , a maxterm is a sum term in which each of the n variables appears exactly once (either in its complemented or uncomplemented form). Thus, a maxterm is a logical expression of n variables that employs only the complement operator and the disjunction operator (logical OR). Maxterms are a dual of the minterm idea, following the complementary symmetry of De Morgan’s laws. Instead of using ANDs and complements, we use ORs and complements and proceed similarly. It is apparent that a maxterm gives a false value for just one combination of the input variables, i.e. it is true at the maximal number of possibilities. For example, the maxterm a ′ + b + c ′ is false only when a and c both are true and b is false—the input arrangement where a = 1, b = 0, c = 1 results in 0.
Printed 2026-06-28.
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