Simplifying Logic using Karnaugh Maps | Lecture 7

Aug 08, 2024

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Learn how to simplify logic circuits efficiently using Karnaugh Maps in this lecture. Explore practical examples and techniques to optimize circuit design.

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karnaugh maps
logic circuits
simplification technique
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Simplifying Logic using Karnaugh Maps | Lecture 7

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Lecture 7 Karnaugh Maps 2/4/09

X Y F(X,Y,Z)

Karnaugh maps

Karnaugh maps. Last time we saw applications of Boolean logic to circuit design. The basic Boolean operations are AND, OR and NOT. These operations can be combined to form complex expressions, which can also be directly translated into a hardware circuit.

848 views • 20 slides

Karnaugh Maps (K-Maps)

Karnaugh Maps (K-Maps). A visual way to simplify logic expressions It gives the most simplified form of the expression. Rules to obtain the most simplified expression. Simplification of logic expression using Boolean algebra is awkward because:

1.06k views • 12 slides

CSE20 Lecture 15 Karnaugh Maps

CSE20 Lecture 15 Karnaugh Maps. Professor CK Cheng CSE Dept. UC San Diego. Example. Given F = S m (3, 5), D = S m (0, 4). b. 0 2 6 4. - 0 0 -.

429 views • 17 slides

Chapter 5 Karnaugh Maps

2. Minimum Forms of Switching Functions. When a function is realized using AND and OR gates, the cost is directly related the number of gates and gate inputs used.Minimum SOP: A SOP form which (a) has a minimum number of terms and (b) for those expressions which have the same minimum number of term

749 views • 32 slides

Karnaugh Maps (K maps)

Karnaugh Maps (K maps). What are Karnaugh 1 maps?. Karnaugh maps provide an alternative way of simplifying logic circuits . Instead of using Boolean algebra simplification techniques, you can transfer logic values from a Boolean statement or a truth table into a Karnaugh map .

783 views • 13 slides

Karnaugh Maps

Karnaugh Maps. Circuit Minimization Algebraic manipulations can be used to simplify Boolean expressions As we've seen, this process is not always easy Karnaugh maps (K-maps) provide an easy and visual technique for finding the minimum cost SOP (or POS) form for a Boolean expression

952 views • 38 slides

Karnaugh Maps

Karnaugh Maps. Not in textbook. Karnaugh Maps. K-maps provide a simple approach to reducing Boolean expressions from a input-output table. The output from the table is used to fill-in the K-map. 1’s are used to create a Sum of Product (SOP) solution. (min terms)

335 views • 12 slides

Karnaugh Maps

Karnaugh Maps. Boolean algebra can be represented in a variety of ways. These include: Boolean e xpressions Truth tables Circuit diagrams Another method is the Karnaugh Map (also known as the K-map) K-maps are particularly useful for simplfying boolean expressions.

736 views • 31 slides

Karnaugh Maps

Karnaugh Maps. References: Chapters 4 and 5 in Digital Principles (Tokheim) Chapter 3 in Introduction to Digital Systems (Palmer and Perlman). Review: Expressing truth tables. Every truth table can be expressed in terms of the basic Boolean operators AND , OR and NOT operators.

1k views • 47 slides

Karnaugh Maps

Karnaugh Maps. Graphical way to represent Boolean functions Systematic approach for reducing Boolean expressions Ex. F(A, B, C) = A B’ C’ + A’ B C ’ + A B’ C + A’ B C Simplified into: F(A, B) = A B’ + A’ B.

3.86k views • 11 slides

Karnaugh Maps

Karnaugh Maps. What are Karnaugh Maps?. A simpler way to handle most (but not all) jobs of manipulating logic functions. Hooray !!. Karnaugh Map Advantages. Minimization can be done more systematically Much simpler to find minimum solutions Easier to see what is happening (graphical)

956 views • 57 slides

Lecture 7 Minimization with Karnaugh Maps

Lecture 7 Minimization with Karnaugh Maps. Overview. K-maps: an alternate approach to representing Boolean functions K-map representation can be used to minimize Boolean functions Easy conversion from truth table to K-map to minimized SOP representation.

1.89k views • 40 slides

Focus on Karnaugh Maps

Focus on Karnaugh Maps. Chapter 3 Special Section. 3A.1 Introduction. Simplification of Boolean functions leads to simpler (and usually faster) digital circuits. Simplifying Boolean functions using identities is time-consuming and error-prone.

596 views • 30 slides

Karnaugh Maps

Karnaugh Maps. By: Shakil Nobes. History of Karnaugh Maps. The Karnaugh map was invented in 1952 It was invented by Edward W. Veitch It was then developed further in 1953 by Maurice Karnaugh. What’s the purpose to Karnaugh Maps?.

1.09k views • 57 slides

Karnaugh Maps

100. 010. 111. 001. 101. 011. 110. 000. 00. 01. 11. 10. Karnaugh Maps. Five Variable Karnaugh Maps. Adjacent columns. abc. de. 24. 16. 0. 8. 28. 20. 4. 12. 25. 17. 1. 9. 29. 21. 5. 13. 27. 19. 3. 11. 31. 23. 7. 15. 26. 18. 2. 10. 30. 22. 6. 14.

372 views • 15 slides

Karnaugh Maps

Karnaugh Maps. ELEC 311 Digital Logic and Circuits Dr. Ron Hayne Images Courtesy of Cengage Learning. Terminology. Minterm Implicant Cover Prime Implicant Essential Prime Implicant Secondary Prime Implicant Minimal Sum. Methodology. Minimal Sum Essential Prime Implicants

292 views • 6 slides

Chapter 3: Karnaugh Maps

Chapter 3: Karnaugh Maps. Uchechukwu Ofoegbu Temple University. Riddle.

498 views • 30 slides

Karnaugh Maps

Karnaugh Maps. Introduction Venn Diagrams 2-variable K-maps 3-variable K-maps 4-variable K-maps 5-variable and larger K-maps Simplification using K-maps. Karnaugh Maps. Converting to Minterms Form Simplest SOP Expressions Getting POS Expressions Don’t-care Conditions Review

1.15k views • 60 slides

Lecture 5 Karnaugh Maps

Lecture 5 Karnaugh Maps. Algebraic procedures: Difficult to apply in a systematic way. Difficult to tell when you have arrived at a minimum solution. Karnaugh map (K-map) can be used to minimize functions of up to 6 variables.

408 views • 34 slides

CSE20 Lecture 15 Karnaugh Maps

CSE20 Lecture 15 Karnaugh Maps. Professor CK Cheng CSE Dept. UC San Diego. Example. Given F = S m (3, 5), D = S m (0, 4). b. 0 2 6 4. - 0 0 -.

186 views • 17 slides

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