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What is the minimum sum-of-products expression for the following Kmap?

What is the minimum sum-of-products expression 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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### Question 6 **What is the minimum sum-of-products expression for the following Kmap?** #### Karnaugh Map (Kmap) | CD\AB | 00 | 01 | 11 | 10 | |------|----|----|----|----| | 00 | 0 | 0 | 1 | 0 | | 01 | 0 | 1 | 0 | 0 | | 11 | 1 | 1 | 0 | 0 | | 10 | 0 | 0 | 1 | 0 | In this Karnaugh Map, each cell represents a minterm based on the values of variables AB and CD. The objective is to find the minimal sum-of-products expression for the Kmap by grouping ones in the map. ### Explanation of the Diagram The Kmap is a 4x4 grid, where: - The rows are labeled by the values of CD: `00`, `01`, `11`, `10`. - The columns are labeled by the values of AB: `00`, `01`, `11`, `10`. #### Cells Containing '1': 1. Cell (00, 11) 2. Cell (01, 01) 3. Cell (11, 00) 4. Cell (11, 01) 5. Cell (10, 11) These cells' coordinates (row, column) reflect the minterms that are part of the final minimal sum-of-products expression. **Copyright © 2016-2021 by A.Berraached. All Rights Reserved.** ### Answer Box \[ \boxed{\phantom{Insert Answer Here}} \] This setup helps students understand how to read a Kmap and derive the minimum sum-of-products expression.
Transcribed Image Text:### Question 6 **What is the minimum sum-of-products expression for the following Kmap?** #### Karnaugh Map (Kmap) | CD\AB | 00 | 01 | 11 | 10 | |------|----|----|----|----| | 00 | 0 | 0 | 1 | 0 | | 01 | 0 | 1 | 0 | 0 | | 11 | 1 | 1 | 0 | 0 | | 10 | 0 | 0 | 1 | 0 | In this Karnaugh Map, each cell represents a minterm based on the values of variables AB and CD. The objective is to find the minimal sum-of-products expression for the Kmap by grouping ones in the map. ### Explanation of the Diagram The Kmap is a 4x4 grid, where: - The rows are labeled by the values of CD: `00`, `01`, `11`, `10`. - The columns are labeled by the values of AB: `00`, `01`, `11`, `10`. #### Cells Containing '1': 1. Cell (00, 11) 2. Cell (01, 01) 3. Cell (11, 00) 4. Cell (11, 01) 5. Cell (10, 11) These cells' coordinates (row, column) reflect the minterms that are part of the final minimal sum-of-products expression. **Copyright © 2016-2021 by A.Berraached. All Rights Reserved.** ### Answer Box \[ \boxed{\phantom{Insert Answer Here}} \] This setup helps students understand how to read a Kmap and derive the minimum sum-of-products expression.
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