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Obtain the minterm canonical form of the Boolean expression by algebraic method. xyz + xy + x'(yz' + y'z)

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Question

Obtain the minterm canonical form of the Boolean expression by algebraic method.

xyz + xy + x'(yz' + y'z)

Short Answer
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Solution

F​ = xyz + xy + x′yz′ + x′y′z

   = xyz + xy(z + z′) + x′yz′ + x′y′z

   = xyz + xyz + xyz′ + x′yz′ + x′y′z

   = x′y′z + x′yz′ + xyz′ + xyz​

Therefore,

F = Σm(1, 2, 6, 7)

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Chapter 12: Boolean Functions and Reduce Forms - EXERCISE [Page 238]

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CBSE Computer Science with Python [English] Class 12
Chapter 12 Boolean Functions and Reduce Forms
EXERCISE | Q 21. i) | Page 238
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