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How many gates would be required to implement the following Boolean expression before simplification of X4 + X (X+Z) + Y (X+Z)?

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Question

How many gates would be required to implement the following Boolean expression before simplification of X4 + X (X+Z) + Y (X+Z)?

Options

  • 1

  • 2

  • 4

  • 5

MCQ
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Solution

5

Explanation:

Share the sub-expression [(X+Z)]: it needs one OR gate. The remaining terms need three AND gates, and one OR gate combines the terms, for a total of five gates.

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Chapter 13: Application of Boolean Logic - EXERCISE [Page 256]

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CBSE Computer Science with Python [English] Class 12
Chapter 13 Application of Boolean Logic
EXERCISE | Q 3. | Page 256
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