FIGURES FOR CHAPTER 5 KARNAUGH MAPS
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©2004 Brooks/Cole FIGURES FOR CHAPTER 5 KARNAUGH MAPS Click the mouse to move to the next page. Use the ESC key to exit this chapter. This chapter in the book includes: Objectives Study Guide 5.1 Minimum Forms of Switching Functions 5.2 Two- and Three-Variable Karnaugh Maps 5.3 Four-Variable Karnaugh Maps 5.4 Determination of Minimum Expressions 5.5 Five-Variable Karnaugh Maps 5.6 Other Uses of Karnaugh Maps 5.7 Other Forms of Karnaugh Maps Programmed Exercises Problems
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This chapter in the book includes: Objectives Study Guide 5.1Minimum Forms of Switching Functions 5.2Two- and Three-Variable Karnaugh Maps 5.3Four-Variable Karnaugh Maps 5.4Determination of Minimum Expressions 5.5Five-Variable Karnaugh Maps 5.6Other Uses of Karnaugh Maps - PowerPoint PPT Presentation
Transcript of FIGURES FOR CHAPTER 5 KARNAUGH MAPS
©2004 Brooks/Cole
FIGURES FOR
CHAPTER 5
KARNAUGH MAPS
Click the mouse to move to the next page.Use the ESC key to exit this chapter.
This chapter in the book includes:ObjectivesStudy Guide
5.1 Minimum Forms of Switching Functions5.2 Two- and Three-Variable Karnaugh Maps5.3 Four-Variable Karnaugh Maps5.4 Determination of Minimum Expressions5.5 Five-Variable Karnaugh Maps5.6 Other Uses of Karnaugh Maps5.7 Other Forms of Karnaugh Maps
Programmed ExercisesProblems
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Section 5.2, p. 121
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Figure 5-1a, b, c, and d
(a)
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Figure 5-2: Karnaugh Map forThree-Variable Function
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Figure 5-3: Location of Minterms on aThree-Variable Karnaugh Map
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Figure 5-4: Karnaugh Map of F(a, b, c) = m(1, 3, 5) = M(0, 2, 4, 6, 7)
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Figure 5-5: Karnaugh Maps for Product Terms
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Section 5.2, p. 124
f(a,b,c) = abc' + b'c + a'
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Figure 5-6: Simplification of aThree-Variable Function
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Figure 5-7: Complement of Map in Figure 5-6a
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Figure 5-8: Karnaugh Maps Which Illustrate the Consensus Theorem
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Figure 5-9: Function with Two Minimal Forms
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Figure 5-10: Location of Minterms onFour-Variable Karnaugh Map
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Figure 5-11: Plot of acd + a’b + d’
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Figure 5-12: Simplification ofFour-Variable Functions
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Figure 5-13: Simplification of an Incompletely Specified Function
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Figure 5-14
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Figure 5-16: Determination of All Prime Implicants
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Figure 5-17
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Figure 5-18
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Figure 5-19:Flowchart for Determining a Minimum Sum of Products
Using a Karnaugh Map
yes
yes
no
no
Choose a 1 which has not been covered.
Find all adjacent 1’s and X’s.
Are the chosen 1 and its adjacent 1’sand X’s covered by a single term?
That term is an essential prime implicant. Loop it.
All uncovered 1’s checked?
Find a minimum set of prime implicantswhich cover the remaining 1’s on the map.
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Figure 5-20
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Figure 5-21: A Five-Variable Karnaugh Map
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Figure 5-22
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Figure 5-23
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Figure 5-24
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Figure 5-25
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Figure 5-26
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Figure 5-27: Veitch Diagrams
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Figure 5-28: Other Forms of Five-Variable Karnaugh Maps
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Figure 5-28: Other Forms of Five-Variable Karnaugh Maps
