Sequential Logic Synthesis

Sequential Logic Synthesis

Author: Pranav Ashar

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 238

ISBN-13: 1461536286

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3. 2 Input Encoding Targeting Two-Level Logic . . . . . . . . 27 3. 2. 1 One-Hot Coding and Multiple-Valued Minimization 28 3. 2. 2 Input Constraints and Face Embedding 30 3. 3 Satisfying Encoding Constraints . . . . . . . 32 3. 3. 1 Definitions . . . . . . . . . . . . . . . 32 3. 3. 2 Column-Based Constraint Satisfaction 33 3. 3. 3 Row-Based Constraint Satisfaction . . 37 3. 3. 4 Constraint Satisfaction Using Dichotomies . 38 3. 3. 5 Simulated Annealing for Constraint Satisfaction 41 3. 4 Input Encoding Targeting Multilevel Logic. . 43 3. 4. 1 Kernels and Kernel Intersections . . . 44 3. 4. 2 Kernels and Multiple-Valued Variables 46 3. 4. 3 Multiple-Valued Factorization. . . . . 48 3. 4. 4 Size Estimation in Algebraic Decomposition . 53 3. 4. 5 The Encoding Step . 54 3. 5 Conclusion . . . . . . . . . 55 4 Encoding of Symbolic Outputs 57 4. 1 Heuristic Output Encoding Targeting Two-Level Logic. 59 4. 1. 1 Dominance Relations. . . . . . . . . . . . . . . . 59 4. 1. 2 Output Encoding by the Derivation of Dominance Relations . . . . . . . . . . . . . . . . . . . . . 60 . . 4. 1. 3 Heuristics to Minimize the Number of Encoding Bits . . . . . . . . . . . . 64 4. 1. 4 Disjunctive Relationships . . . . . . . . . . . 65 4. 1. 5 Summary . . . . . . . . . . . . . . . . . . 66 . . 4. 2 Exact Output Encoding Targeting Two-Level Logic. 66 4. 2. 1 Generation of Generalized Prime Implicants . 68 4. 2. 2 Selecting a Minimum Encodeable Cover . . . 68 4. 2. 3 Dominance and Disjunctive Relationships to S- isfy Constraints . . . . . . . . . . . 70 4. 2. 4 Constructing the Optimized Cover 73 4. 2. 5 Correctness of the Procedure . . 73 4. 2. 6 Multiple Symbolic Outputs . . .


Sequential Logic

Sequential Logic

Author: Joseph Cavanagh

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 912

ISBN-13: 1420007858

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Until now, there was no single resource for actual digital system design. Using both basic and advanced concepts, Sequential Logic: Analysis and Synthesis offers a thorough exposition of the analysis and synthesis of both synchronous and asynchronous sequential machines. With 25 years of experience in designing computing equipment, the author stresses the practical design of state machines. He clearly delineates each step of the structured and rigorous design principles that can be applied to practical applications. The book begins by reviewing the analysis of combinatorial logic and Boolean algebra, and goes on to define sequential machines and discuss traditional and alternative methods for synthesizing synchronous sequential machines. The final chapters deal with asynchronous sequential machines and pulse-mode asynchronous sequential machines. Because this volume is technology-independent, these techniques can be used in a variety of fields, such as electrical and computer engineering as well as nanotechnology. By presenting each method in detail, expounding on several corresponding examples, and providing over 500 useful figures, Sequential Logic is an excellent tutorial on analysis and synthesis procedures.


Switching Theory for Logic Synthesis

Switching Theory for Logic Synthesis

Author: Tsutomu Sasao

Publisher: Springer

Published: 2012-10-04

Total Pages: 0

ISBN-13: 9781461373391

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Switching Theory for Logic Synthesis covers the basic topics of switching theory and logic synthesis in fourteen chapters. Chapters 1 through 5 provide the mathematical foundation. Chapters 6 through 8 include an introduction to sequential circuits, optimization of sequential machines and asynchronous sequential circuits. Chapters 9 through 14 are the main feature of the book. These chapters introduce and explain various topics that make up the subject of logic synthesis: multi-valued input two-valued output function, logic design for PLDs/FPGAs, EXOR-based design, and complexity theories of logic networks. An appendix providing a history of switching theory is included. The reference list consists of over four hundred entries. Switching Theory for Logic Synthesis is based on the author's lectures at Kyushu Institute of Technology as well as seminars for CAD engineers from various Japanese technology companies. Switching Theory for Logic Synthesis will be of interest to CAD professionals and students at the advanced level. It is also useful as a textbook, as each chapter contains examples, illustrations, and exercises.


Introduction to Logic Synthesis using Verilog HDL

Introduction to Logic Synthesis using Verilog HDL

Author: Robert B.Reese

Publisher: Morgan & Claypool Publishers

Published: 2006-12-01

Total Pages: 84

ISBN-13: 1598291076

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Introduction to Logic Synthesis Using Verilog HDL explains how to write accurate Verilog descriptions of digital systems that can be synthesized into digital system netlists with desirable characteristics. The book contains numerous Verilog examples that begin with simple combinational networks and progress to synchronous sequential logic systems. Common pitfalls in the development of synthesizable Verilog HDL are also discussed along with methods for avoiding them. The target audience is anyone with a basic understanding of digital logic principles who wishes to learn how to model digital systems in the Verilog HDL in a manner that also allows for automatic synthesis. A wide range of readers, from hobbyists and undergraduate students to seasoned professionals, will find this a compelling and approachable work. The book provides concise coverage of the material and includes many examples, enabling readers to quickly generate high-quality synthesizable Verilog models.


Reversible Logic Synthesis Methodologies with Application to Quantum Computing

Reversible Logic Synthesis Methodologies with Application to Quantum Computing

Author: Saleem Mohammed Ridha Taha

Publisher: Springer

Published: 2015-09-24

Total Pages: 185

ISBN-13: 331923479X

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This book opens the door to a new interesting and ambitious world of reversible and quantum computing research. It presents the state of the art required to travel around that world safely. Top world universities, companies and government institutions are in a race of developing new methodologies, algorithms and circuits on reversible logic, quantum logic, reversible and quantum computing and nano-technologies. In this book, twelve reversible logic synthesis methodologies are presented for the first time in a single literature with some new proposals. Also, the sequential reversible logic circuitries are discussed for the first time in a book. Reversible logic plays an important role in quantum computing. Any progress in the domain of reversible logic can be directly applied to quantum logic. One of the goals of this book is to show the application of reversible logic in quantum computing. A new implementation of wavelet and multiwavelet transforms using quantum computing is performed for this purpose. Researchers in academia or industry and graduate students, who work in logic synthesis, quantum computing, nano-technology, and low power VLSI circuit design, will be interested in this book.


Logic Synthesis and Verification Algorithms

Logic Synthesis and Verification Algorithms

Author: Gary D. Hachtel

Publisher: Springer Science & Business Media

Published: 2005-12-17

Total Pages: 579

ISBN-13: 0306475928

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Logic Synthesis and Verification Algorithms is a textbook designed for courses on VLSI Logic Synthesis and Verification, Design Automation, CAD and advanced level discrete mathematics. It also serves as a basic reference work in design automation for both professionals and students. Logic Synthesis and Verification Algorithms is about the theoretical underpinnings of VLSI (Very Large Scale Integrated Circuits). It combines and integrates modern developments in logic synthesis and formal verification with the more traditional matter of Switching and Finite Automata Theory. The book also provides background material on Boolean algebra and discrete mathematics. A unique feature of this text is the large collection of solved problems. Throughout the text the algorithms covered are the subject of one or more problems based on the use of available synthesis programs.


Pragmatic Logic

Pragmatic Logic

Author: William J. Eccles

Publisher: Morgan & Claypool Publishers

Published: 2007-06-01

Total Pages: 220

ISBN-13: 1598291939

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Pragmatic Logic presents the analysis and design of digital logic systems. The author begins with a brief study of binary and hexadecimal number systems and then looks at the basics of Boolean algebra. The study of logic circuits is divided into two parts, combinational logic, which has no memory, and sequential logic, which does. Numerous examples highlight the principles being presented. The text ends with an introduction to digital logic design using Verilog, a hardware description language. The chapter on Verilog can be studied along with the other chapters in the text. After the reader has completed combinational logic in Chapters 4 and 5, sections 9.1 and 9.2 would be appropriate. Similarly, the rest of Chapter 9 could be studied after completing sequential logic in Chapters 6 and 7. This short lecture book will be of use to students at any level of electrical or computer engineering and for practicing engineers or scientists in any field looking for a practical and applied introduction to digital logic. The author's "pragmatic" and applied style gives a unique and helpful "non-idealist, practical, opinionated" introduction to digital systems.


Learning FPGAs

Learning FPGAs

Author: Justin Rajewski

Publisher: "O'Reilly Media, Inc."

Published: 2017-08-16

Total Pages: 237

ISBN-13: 1491965452

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Learn how to design digital circuits with FPGAs (field-programmable gate arrays), the devices that reconfigure themselves to become the very hardware circuits you set out to program. With this practical guide, author Justin Rajewski shows you hands-on how to create FPGA projects, whether you’re a programmer, engineer, product designer, or maker. You’ll quickly go from the basics to designing your own processor. Designing digital circuits used to be a long and costly endeavor that only big companies could pursue. FPGAs make the process much easier, and now they’re affordable enough even for hobbyists. If you’re familiar with electricity and basic electrical components, this book starts simply and progresses through increasingly complex projects. Set up your environment by installing Xilinx ISE and the author’s Mojo IDE Learn how hardware designs are broken into modules, comparable to functions in a software program Create digital hardware designs and learn the basics on how they’ll be implemented by the FPGA Build your projects with Lucid, a beginner-friendly hardware description language, based on Verilog, with syntax similar to C/C++ and Java


Logic Synthesis and Verification

Logic Synthesis and Verification

Author: Soha Hassoun

Publisher: Springer Science & Business Media

Published: 2001-11-30

Total Pages: 474

ISBN-13: 9780792376064

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Research and development of logic synthesis and verification have matured considerably over the past two decades. Many commercial products are available, and they have been critical in harnessing advances in fabrication technology to produce today's plethora of electronic components. While this maturity is assuring, the advances in fabrication continue to seemingly present unwieldy challenges. Logic Synthesis and Verification provides a state-of-the-art view of logic synthesis and verification. It consists of fifteen chapters, each focusing on a distinct aspect. Each chapter presents key developments, outlines future challenges, and lists essential references. Two unique features of this book are technical strength and comprehensiveness. The book chapters are written by twenty-eight recognized leaders in the field and reviewed by equally qualified experts. The topics collectively span the field. Logic Synthesis and Verification fills a current gap in the existing CAD literature. Each chapter contains essential information to study a topic at a great depth, and to understand further developments in the field. The book is intended for seniors, graduate students, researchers, and developers of related Computer-Aided Design (CAD) tools. From the foreword: "The commercial success of logic synthesis and verification is due in large part to the ideas of many of the authors of this book. Their innovative work contributed to design automation tools that permanently changed the course of electronic design." by Aart J. de Geus, Chairman and CEO, Synopsys, Inc.


Sequential Logic and Verilog HDL Fundamentals

Sequential Logic and Verilog HDL Fundamentals

Author: Joseph Cavanagh

Publisher: CRC Press

Published: 2017-12-19

Total Pages: 846

ISBN-13: 1498738230

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Sequential Logic and Verilog HDL Fundamentals discusses the analysis and synthesis of synchronous and asynchronous sequential machines. These machines are implemented using Verilog Hardware Description Language (HDL), in accordance with the Institute of Electrical and Electronics Engineers (IEEE) Standard: 1364-1995. The book concentrates on sequential logic design with a focus on the design of various Verilog HDL projects. Emphasis is placed on structured and rigorous design principles that can be applied to practical applications. Each step of the analysis and synthesis procedures is clearly delineated. Each method that is presented is expounded in sufficient detail with accompanying examples. Many analysis and synthesis examples use mixed-logic symbols incorporating both positive- and negative-input logic gates for NAND (not AND) and NOR (not OR) logic, while other examples utilize only positive-input logic gates. The use of mixed logic parallels the use of these symbols in the industry. The book is intended to be a tutorial, and as such, is comprehensive and self-contained. All designs are carried through to completion—nothing is left unfinished or partially designed. Each chapter contains numerous problems of varying complexity to be designed by the reader using Verilog HDL design techniques. The Verilog HDL designs include the design module, the test bench module that tests the design for correct functionality, the outputs obtained from the test bench, and the waveforms obtained from the test bench. Sequential Logic and Verilog HDL Fundamentals presents Verilog HDL with numerous design examples to help the reader thoroughly understand this popular hardware description language. The book is designed for practicing electrical engineers, computer engineers, and computer scientists; for graduate students in electrical engineering, computer engineering, and computer science; and for senior-level undergraduate students.