Algebraic Synthesis of Switching Circuits

Algebraic Synthesis of Switching Circuits PDF Author: Shoukat Ali Lakhani
Publisher:
ISBN:
Category : Sequential machine theory
Languages : en
Pages : 202

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Algebraic Synthesis of Switching Circuits

Algebraic Synthesis of Switching Circuits PDF Author: Shoukat Ali Lakhani
Publisher:
ISBN:
Category : Sequential machine theory
Languages : en
Pages : 202

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Synthesis of Switching Circuits

Synthesis of Switching Circuits PDF Author: George J. Klir
Publisher:
ISBN:
Category : Electronic circuits
Languages : en
Pages : 332

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The Algebraic Theory of Switching Circuits

The Algebraic Theory of Switching Circuits PDF Author: Gr. C. Moisil
Publisher: Elsevier
ISBN: 1483160769
Category : Technology & Engineering
Languages : en
Pages : 720

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Book Description
The Algebraic Theory of Switching Circuits covers the application of various algebraic tools to the delineation of the algebraic theory of switching circuits for automation with contacts and relays. This book is organized into five parts encompassing 31 chapters. Part I deals with the principles and application of Boolean algebra and the theory of finite fields (Galois fields). Part II emphasizes the importance of the sequential operation of the automata and the variables associated to the current and to the contacts. This part also tackles the recurrence relations that describe operations of the network and the principles of the so-called characteristic equations. Part III reviews the study of networks with secondary elements other than ordinary relays, while Part IV focuses on the fundamentals and application of multi-position contacts. Part V considers several topics related to circuit with electronic elements, including triodes, pentodes, transistors, and cryotrons. This book will be of great value to practicing engineers, mathematicians, and workers in the field of computers.

Algebraic Topological Methods for the Synthesis of Switching Circuits in N Variables

Algebraic Topological Methods for the Synthesis of Switching Circuits in N Variables PDF Author: John Paul Roth
Publisher:
ISBN:
Category : Calculators
Languages : en
Pages : 90

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Algebraic Synthesis of Switching Networks

Algebraic Synthesis of Switching Networks PDF Author: Stanford University. Stanford Electronics Laboratories
Publisher:
ISBN:
Category : Electric networks
Languages : en
Pages : 90

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Modeling Digital Switching Circuits with Linear Algebra

Modeling Digital Switching Circuits with Linear Algebra PDF Author: Mitchell A. Thornton
Publisher: Springer Nature
ISBN: 3031798678
Category : Technology & Engineering
Languages : en
Pages : 145

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Book Description
Modeling Digital Switching Circuits with Linear Algebra describes an approach for modeling digital information and circuitry that is an alternative to Boolean algebra. While the Boolean algebraic model has been wildly successful and is responsible for many advances in modern information technology, the approach described in this book offers new insight and different ways of solving problems. Modeling the bit as a vector instead of a scalar value in the set {0, 1} allows digital circuits to be characterized with transfer functions in the form of a linear transformation matrix. The use of transfer functions is ubiquitous in many areas of engineering and their rich background in linear systems theory and signal processing is easily applied to digital switching circuits with this model. The common tasks of circuit simulation and justification are specific examples of the application of the linear algebraic model and are described in detail. The advantages offered by the new model as compared to traditional methods are emphasized throughout the book. Furthermore, the new approach is easily generalized to other types of information processing circuits such as those based upon multiple-valued or quantum logic; thus providing a unifying mathematical framework common to each of these areas. Modeling Digital Switching Circuits with Linear Algebra provides a blend of theoretical concepts and practical issues involved in implementing the method for circuit design tasks. Data structures are described and are shown to not require any more resources for representing the underlying matrices and vectors than those currently used in modern electronic design automation (EDA) tools based on the Boolean model. Algorithms are described that perform simulation, justification, and other common EDA tasks in an efficient manner that are competitive with conventional design tools. The linear algebraic model can be used to implement common EDA tasks directly upon a structural netlist thus avoiding the intermediate step of transforming a circuit description into a representation of a set of switching functions as is commonly the case when conventional Boolean techniques are used. Implementation results are provided that empirically demonstrate the practicality of the linear algebraic model.

Algebraic Synthesis of Switching Networks

Algebraic Synthesis of Switching Networks PDF Author: Rodney Walter Edwards
Publisher:
ISBN:
Category : Electric networks
Languages : en
Pages : 102

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Mathematical Theory of Switching Circuits and Automata

Mathematical Theory of Switching Circuits and Automata PDF Author: Sze-Tsen Hu
Publisher: Univ of California Press
ISBN:
Category :
Languages : en
Pages : 284

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The Principles of Switching Circuits

The Principles of Switching Circuits PDF Author: Frederick H. Edwards
Publisher: MIT Press (MA)
ISBN: 9780262050111
Category : Switching theory
Languages : en
Pages : 329

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Book Description
Switching theory is concerned with the development of models and techniques for the analysis and synthesis of those circuits in which information is represented in discrete or digital form, as opposed to the analog form in which information is represented in a continuous manner. The application of digital techniques over a wider range of human activities has already profoundly affected modern life, and there is no visible limit to their future utility. This book is the outgrowth of a course on switching circuits that the author has taught since 1960, and it is designed as a text to provide a unified treatment of the subject with particular emphasis on sequential circuit theory. An attempt has been made to include only those techniques that have been generally accepted and seem to have lasting application. The first four of the nine chapters are devoted to basic principles and to combinational circuit theory. They introduce number systems, binary codes, Boolean algebra, switching functions, the analysis and synthesis of combinational gate circuits (including NAND, NOR, EXCLUSIVE-OR, and EXCLUSIVE-NOR), and threshold logic, among other topics. Also covered are algebraic, geometric, and tabular techniques for the minimization of algebraic expressions. The remainder of this book is on sequential circuit theory. A general treatment is emphasized by classification of the sequential-circuit operation as either fundamental mode or pulse mode, and as either clocked or not clocked. A comparison of the two modes is enhanced by design examples in which the same problem specifications are used for each mode. Both algebraic and tablular techniques are presented for the analysis and synthesis of these circuits. The timely topics of control states and register transfers in sequential design are included. The book closes with a discussion of sequential-circuit minimization associated with the reduction of flow tables, and the state-assignment problem. Answers are provided to selected problems.

Switching Theory for Logic Synthesis

Switching Theory for Logic Synthesis PDF Author: Tsutomu Sasao
Publisher: Springer Science & Business Media
ISBN: 1461551390
Category : Computers
Languages : en
Pages : 368

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Book Description
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.