हिंदी

The reduced expression of the Boolean function F(P, Q) = P' · + P · Q is ______. - Computer Science (Theory)

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प्रश्न

The reduced expression of the Boolean function F(P, Q) = P' · + P · Q is ______.

विकल्प

  • P' + Q

  • P

  • P'

  • P + Q

MCQ
रिक्त स्थान भरें

उत्तर

The reduced expression of the Boolean function F(P, Q) = P' · + P · Q is P' + Q.

Explanation:

According to the 3rd Distributive law:

A + A' B = A + B

Hence:   P' + PQ = P' + Q

shaalaa.com
Basic Theorems of Boolean Algebra (Eg. Duality, Idempotence, Commutativity, Associativity, Distributivity, Operations with 0 and 1, Complements, Absorption, Involution)
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