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Minimize the following Boolean function using algebraic method. Z = f(a, b, c) = a'b'c' +a'b + abc' +ac

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Question

Minimize the following Boolean function using algebraic method.

Z = f(a, b, c) = a'b'c' +a'b + abc' +ac

Very Short Answer
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Solution

Z​ = a′b + abc′ + ac    [a′b + a′b′c′ = a′b]

= a′b + a(bc′ + c)

= a′b + a(b + c)

= a′b + ab + ac

= b(a′ + a) + ac

= b + ac​

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Chapter 12: Boolean Functions and Reduce Forms - EXERCISE [Page 237]

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CBSE Computer Science with Python [English] Class 12
Chapter 12 Boolean Functions and Reduce Forms
EXERCISE | Q 19. i) | Page 237
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