What does POS prefer between minterms and maxterms?

  • POS prefers maxterms, which are sum terms representing the false conditions of a boolean function.
  • The Product of Sums (POS) form is a way of representing a boolean expression by taking the product (AND) of sum terms (OR).

Maxterms

Maxterms represent the combinations of x and y where F(x, y)=0. For each combination, the maxterm is formed by taking the OR of the variables, with each variable being complemented if its value is 0 and uncomplemented if its value is 1.

  • For (x, y) = (0, 0), the maxterm is (x + y).
  • For (x, y) = (0, 1), the maxterm is (x+y‘).

POS Expression

The POS (Product of Sums) form is the AND of these maxterms.

Thus, the POS form is: F(x, y) = (x + y)⋅(x + y‘)

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