Overview
- Conceptually new research on digital circuits with memory
- Presents original mathematical instruments assigned for sequential circuits analysis
- Presents digital circuits design in practice on the basis of venjunctors and sequentors
Part of the book series: Lecture Notes in Electrical Engineering (LNEE, volume 101)
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Table of contents(4 chapters)
About this book
This book is dedicated to new mathematical instruments assigned for logical modeling of the memory of digital devices. The case in point is logic-dynamical operation named venjunction and venjunctive function as well as sequention and sequentional function. Venjunction and sequention operate within the framework of sequential logic. In a form of the corresponding equations, they organically fit analytical expressions of Boolean algebra. Thus, a sort of symbiosis is formed using elements of asynchronous sequential logic on the one hand and combinational logic on the other hand. So, asynchronous logic is represented in the form of enhanced Boolean logic. The book contains initial concepts, fundamental definitions, statements, principles and rules needed for theoretical justification of the mathematical apparatus and its validity for asynchronous logic. Asynchronous operators named venjunctor and sequentor are designed for practical implementation. These basic elements are assigned for realizing of memory functions in sequential circuits. Present research work is the final stage of generalization and systematization of all those ideas and investigations, author’s interest to which alternately flashed up and faded over many years and for various reasons until formed “critical mass”, and all findings were arranged definitively as a mathematical basis of a theory appropriately associated under a common theme – asynchronous sequential logic, essentially classified as switching logic, which falls into category of algebraic logics.
Reviews
From the reviews:
“This is a research monograph devoted to the design of asynchronous sequential logic circuits. … The book consists of four chapters. Bibliographical references are given at the end of each chapter. … The appendices contain lists of venjunctive functions, lists of functions for trigger descriptions and examples of asynchronous sequential functions descriptions. … The material of this book may be recommended as a basis for a facultative lecture for academic courses in digital design.” (Antoni Michalski, Zentralblatt MATH, Vol. 1244, 2012)
Authors and Affiliations
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Riga, Latvia
Vadim Vasyukevich
Bibliographic Information
Book Title: Asynchronous Operators of Sequential Logic: Venjunction & Sequention
Book Subtitle: Digital Circuit Analysis and Design
Authors: Vadim Vasyukevich
Series Title: Lecture Notes in Electrical Engineering
DOI: https://doi.org/10.1007/978-3-642-21611-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer Berlin Heidelberg 2011
Hardcover ISBN: 978-3-642-21610-7Published: 18 June 2011
Softcover ISBN: 978-3-642-26882-3Published: 02 August 2013
eBook ISBN: 978-3-642-21611-4Published: 18 June 2011
Series ISSN: 1876-1100
Series E-ISSN: 1876-1119
Edition Number: 1
Number of Pages: XIV, 126