Explain the Product of Sum Form - standard forms?
The POS is the Boolean Expression containing OR terms, called as sum terms. The product denotes ANDing of these terms.
F= (y'+z)(x'+y)
Conversion between the two forms is done by application of DeMorgans Laws
Illustration: Show that (X.Y' + Z).(X + Y).Z = X.Z + Y'.Z
(X.Y' + Z).(X + Y).Z = (X.Y' + Z.X + Y'.Z).Z = X.Y'Z + Z.X + Y'.Z
= Z.(X.Y' + X + Y') = Z.(X+Y')