Maxterm & POS Expression

Maxterm (M):

Maxterms are formed when binary inputs are connected using OR(+). They are denoted by "M".

example: A'+B, A+B'+C, A+B'+C'

POS (Product of Sums) Expression:

POS expressions are formed by connecting maxterms using AND(.).

example: (A'+B).(A+B'+C).(A+B'+C')

Canonical POS Expressions:

Canonical POS expressions are those POS expressions which contains all inputs in its every maxterm.

example: (A'+B+C).(A+B'+C).(A+B'+C')

Cardinal (Function) Form of POS Expression:

This is the function notation of a Canonical POS expression using 𝝿(Pie).

example : F(A, B, C) = 𝝿 (0, 1, 2, 6).

This is done by writing the canonical POS expression in its hexadecimal valued maxterm.

example:  if the canonical POS expression is (A'+B+C).(A+B'+C).(A+B'+C') then its cardinal notation can be formed by:

            A'+B+C = 1+0+0 = M4

            A+B'+C = 0+1+0 = M2

            A+B'+C' = 0+1+1 = M3

    so,  F(A, B, C) = 𝝿 (2, 3, 4).