'Prime implicants' diaporamas de présentation

Techniques for Combinational Logic Optimization

Techniques for Combinational Logic Optimization. Minimizing Circuits. Karnaugh Maps. Goals of Circuit Minimization. (1) Minimize the number of primitive Boolean logic gates needed to implement the circuit.

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The Essentials of Comparative Studies

?????? ?????????? Lecture 3 The Design and Logics of Comparative-Historical Method in the Social Sciences. The Essentials of Comparative Studies.

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The Karnaugh Map

The Karnaugh Map. COE 202 Digital Logic Design Dr. Muhamed Mudawar King Fahd University of Petroleum and Minerals. Presentation Outline. Boolean Function Minimization The Karnaugh Map (K-Map) Two, Three, and Four-Variable K-Maps Prime and Essential Prime Implicants

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Classroom Presenter 3

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Logic Synthesis

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ENEE244-02xx Digital Logic Design

ENEE244-02xx Digital Logic Design. Lecture 10. Announcements. HW4 due 10/9 Please omit last problem 4.6(a),(c) Quiz during recitation on Monday (10/13) Will cover material from lectures 10,11,12. Agenda. Last time: Prime Implicants (4.2) Prime Implicates (4.3) This time:

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Combinational Logic Part 2:

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Chapter #2: Two-Level Combinational Logic Section 2.3, 2.4 -- Switches and Tools

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Chapter 2 Minimization of Switching Functions

Chapter 2 Minimization of Switching Functions. 2.1 Boolean Algebra. Table 1 Boolean Operators for Variables x 1 and x 2. Table 2 Truth Table for AND, OR, NOT, Exclusive-OR, and Exclusive-NOR Operations. Axiom 1: Boolean set definition

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CSCE 211: Digital Logic Design

CSCE 211: Digital Logic Design. Chin-Tser Huang huangct@cse.sc.edu University of South Carolina. Chapter 3: The Karnaugh Map. Karnaugh Map (K-map). The algebraic simplification method in Ch. 2 is not systematical and does not tell us whether the result is a minimum

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MVI Function Review

MVI Function Review. Input X is p -valued variable. Each Input can have Value in Set {0, 1, 2, ..., p i- 1 } literal over X corresponds to subset of values of S ? {0, 1, ... , p- 1} denoted by X S or X { j } where j is the logic value Empty Literal: X { ?}

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SYEN 3330 Digital Systems

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Digital Logic Design

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ECT 358

ECT 358. Lecture 2 Boolean Algebra Review Karnaugh Map Review Hazards. Blessed is he who, having nothing to say, refrains from giving wordy evidence of the fact. The tongue of the wise commends knowledge, but the mouth of the fool gushes folly. Proverbs 15:2. Boolean Algebra Review.

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Key Observation

1. 10. 01. 1. 1. 1. 1. Key Observation. Adjacencies in the K-Map. 111. 011. B. BC. 00. 01. 11. 10. A. 010. 110. 0. 000. 010. 100. 001. B. 001. 101. 1. 101. C. 000. C. 100. A. Any two adjacant cells in the K-map differ in exactly one variable.

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CS 140 Lecture 4 Combinational Logic: K-Map

CS 140 Lecture 4 Combinational Logic: K-Map. Professor CK Cheng CSE Dept. UC San Diego. Part I. Combinational Logic Implementation K-map. Id a b c d f (a,b,c,d) 0 0 0 0 0 0 1 0 0 0 1 0 2 0 0 1 0 1

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Example: Groupings on 3-Variable K-Maps

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CS 140 Lecture 4

CS 140 Lecture 4. Professor CK Cheng 4/11/02. Part I. Combinational Logic. Implementation K-Map Given F R D Obj: Minimize sum of products Proc: Draw K-Map Derive prime implicants Derive the essential prime implicants Derive minimum expression.

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ECE 3110: Introduction to Digital Systems

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Simplification of Boolean functions There are 3 common methods: 1. Boolean algebra

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