CODEWITHSUNDEEP
minimaxkarnaugh-mapboolean-algebra
Akila Godigamuwa
Akila Godigamuwa

Reputation: 21

Min and max terms and Karnaugh maps

Could anyone explain what is the importance of max and min terms in boolean algebra and uses of Karnaugh maps. I feel like confused in those titles.

Upvotes: 1

Views: 632

Answers (1)

A P
A P

Reputation: 2548

Minterms use SOP (sum of products) - and are represented by Sigma

Maxterms use POS (product of sums) - and are represented by Pi

Minterms are classified when the output of the truth table row is a 1, while maxterms capture the 0's.

The representation is also different, minterms look like: (AB)+(CD) while maxterms look like (A+B)(C+D).

K-Map:

SOP uses the K-map normally and captures the 1s. When the 1 (header) is constant, the variable will be A for example, but if the 0 is constant, it would be A' (A Bar).

POS does the exact opposite (captures all the 0s). Keep in mind that when a 0 is constant, it will be A for example, but when a 1 is constant (it's inverted) and becomes an A'

kmap 4 variable

Upvotes: 0

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