Explain the product of sum form - standard forms, Computer Engineering

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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')

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