4. Write a simplified expression for the Boolean function defined by the following K-map, which uses "don't cares". yz 00 01 11 10 WX 00 1 01 1. 11 Simplifies to: 10 1 1. 1,
4. Write a simplified expression for the Boolean function defined by the following K-map, which uses "don't cares". yz 00 01 11 10 WX 00 1 01 1. 11 Simplifies to: 10 1 1. 1,
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
Section: Chapter Questions
Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Transcribed Image Text:The image displays a Karnaugh map (K-map) used to simplify a Boolean expression, including "don't care" conditions. The map is a 4x4 grid that represents a function with variables \( W, X, Y, \) and \( Z \). Below is the description of the map:
### K-map Table:
- **Columns (labeled \( YZ \)):** 00, 01, 11, 10
- **Rows (labeled \( WX \)):** 00, 01, 11, 10
### Grid Values:
- Row 00: 1, 1, 1, 1
- Row 01: 0, X, 1, X
- Row 11: 0, 0, X, 0
- Row 10: 1, 0, X, 1
**Key:**
- 1 = True
- 0 = False
- X = Don't Care
### Task:
The task is to write a simplified expression for the Boolean function defined by this K-map, taking advantage of the "don't care" values to combine terms and simplify the expression.
### Simplified Boolean Expression:
- The solution box is labeled "Simplifies to:" and is left blank, indicating where you would write the final simplified expression.
This setup will help students understand how to use K-maps for simplifying Boolean functions while utilizing "don't cares" effectively.
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