English

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

Advertisements
Advertisements

Question

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

Options

  • P' + Q

  • P

  • P'

  • P + Q

MCQ
Fill in the Blanks

Solution

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)
  Is there an error in this question or solution?
2022-2023 (March) Official
Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×