Asynchronous Operators Of Sequential Logic

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Asynchronous Operators of Sequential Logic: Venjunction & Sequention

Author: Vadim Vasyukevich
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-06-18
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.
Sequential Logic and Verilog HDL Fundamentals

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.
Asynchronous Operators of Sequential Logic

Covering new mathematical instruments to analyze sequential circuits, this book includes basic concepts, fundamental definitions, statements, principles, and the rules needed to justify the mathematical apparatus and its validity for asynchronous logic.