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What would the boolean expression be for the following kmap?

What would the boolean expression be for the following kmap?

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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What would the boolean expression be for the following kmap?

The image depicts a Karnaugh map (K-map), a tool used to simplify Boolean algebra expressions. It is configured for three variables, labeled as w, x, and y, z. ### Description of the Karnaugh Map: #### Variables: - Vertical axis: wx, with binary combinations (00, 01, 11, 10) - Horizontal axis: yz, with binary combinations (00, 01, 11, 10) #### Filled Cells: - The squares are filled with a number "1" or left blank to represent the presence (1) or absence (0) of a min-term in the Boolean expression. #### Grouping: - There is a group of two "1s" in the second column under wx = 00 with yz = 00 and 01. - A single "1" at wx = 01, yz = 11. - A single "1" at wx = 10, yz = 10. - There is grouping marked by boxes around the pairs and cells, consistent with K-map simplification rules. ### Simplification Process: - The K-map shows several groupings used to simplify the original Boolean expression by combining adjacent ones (1s). Understanding and using a K-map involves recognizing patterns and forming groups according to the rules, which aids in reducing logical complexity.
Transcribed Image Text:The image depicts a Karnaugh map (K-map), a tool used to simplify Boolean algebra expressions. It is configured for three variables, labeled as w, x, and y, z. ### Description of the Karnaugh Map: #### Variables: - Vertical axis: wx, with binary combinations (00, 01, 11, 10) - Horizontal axis: yz, with binary combinations (00, 01, 11, 10) #### Filled Cells: - The squares are filled with a number "1" or left blank to represent the presence (1) or absence (0) of a min-term in the Boolean expression. #### Grouping: - There is a group of two "1s" in the second column under wx = 00 with yz = 00 and 01. - A single "1" at wx = 01, yz = 11. - A single "1" at wx = 10, yz = 10. - There is grouping marked by boxes around the pairs and cells, consistent with K-map simplification rules. ### Simplification Process: - The K-map shows several groupings used to simplify the original Boolean expression by combining adjacent ones (1s). Understanding and using a K-map involves recognizing patterns and forming groups according to the rules, which aids in reducing logical complexity.
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