Multiple-valued Logic in VLSI Design
Author | : Jon T. Butler |
Publisher | : |
Total Pages | : 132 |
Release | : 1991 |
Genre | : Integrated circuits |
ISBN | : |
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Author | : Jon T. Butler |
Publisher | : |
Total Pages | : 132 |
Release | : 1991 |
Genre | : Integrated circuits |
ISBN | : |
Author | : D. Michael Miller |
Publisher | : Springer Nature |
Total Pages | : 135 |
Release | : 2022-05-31 |
Genre | : Technology & Engineering |
ISBN | : 3031797795 |
Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various systems and examples of their application. The book also provides an examination of alternative representations of multiple-valued logic suitable for implementation as data structures in automated computer applications. Decision diagram structures for multiple valued applications are described in detail with particular emphasis on the recently developed quantum multiple valued decision diagram. Table of Contents: Multiple Valued Logic Applications / MVL Concepts and Algebra / Functional Representations / Reversible andQuantum Circuits / Quantum Multiple-Valued Decision Diagrams / Summary / Bibliography
Author | : Radomir S. Stankovic |
Publisher | : Springer Nature |
Total Pages | : 154 |
Release | : 2022-06-01 |
Genre | : Technology & Engineering |
ISBN | : 303179852X |
Compared to binary switching functions, the multiple-valued functions (MV) offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. This book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts (various related decision diagrams). Three-valued, or ternary functions, are traditionally used as the first extension from the binary case. They have a good feature that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favourable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easy coded by binary values and realized with two-stable state circuits. At the same time, there is much more considerable advent in design of four-valued logic circuits than for other $p$-valued functions. Therefore, this book is written using a hands-on approach such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quaternary functions that should provide an intuitive understanding of various representation methods and the interconnections among them. Table of Contents: Multiple-Valued Logic Functions / Functional Expressions for Multiple-Valued Functions / Spectral Representations of Multiple-Valued Functions / Decision Diagrams for Multiple-Valued Functions / Fast Calculation Algorithms
Author | : G Epstein |
Publisher | : Routledge |
Total Pages | : 383 |
Release | : 2017-09-29 |
Genre | : Computers |
ISBN | : 1351429620 |
Multiple-Valued Logic Design: An Introduction explains the theory and applications of this increasingly important subject. Written in a clear and understandable style, the author develops the material in a skillful way. Without using a huge mathematical apparatus, he introduces the subject in a general form that includes the well-known binary logic as a special case. The book is further enhanced by more 200 explanatory diagrams and circuits, hardware and software applications with supporting PASCAL programming, and comprehensive exercises with even-numbered answers for every chapter. Requiring introductory knowledge in Boolean algebra, 2-valued logic, or 2-valued switching theory, Multiple-Valued Logic Design: An Introduction is an ideal book for courses not only in logic design, but also in switching theory, nonclassical logic, and computer arithmetic. Computer scientists, mathematicians, and electronic engineers can also use the book as a basis for research into multiple-valued logic design.
Author | : |
Publisher | : |
Total Pages | : 99 |
Release | : 1995 |
Genre | : |
ISBN | : |
This thesis describes the design and implementation of a carry save adder cell for multivalued logic VLSI. A four valued system was chosen and the logic was analyzed and minimized using the HAMLET CAD tool. SPICE was used to design and simulate the required behavior of the current mode CMOS circuits. A VLSI test and evaluation integrated circuit was implemented with MAGIC and fabricated through the MOSIS service. The completed IC was tested and evaluated using a specially designed binary to multivalued logic converter and decoder. Engineering modifcations to the original current mode inverter cells used by HAMLET were made leading to significant power savings in a complete design. The fabricated device performed as predicted by SPICE simulation. Exhaustive functional testing produced correct steady-state output signals for all cases of input loadings. Finally, we show HAMLET minimization heuristics are not efficient in the design of adder cells by comparison with an alternative modulo 4 carry save adder cell in current mode CMOS.
Author | : Joseph Gilbert Tront |
Publisher | : |
Total Pages | : 464 |
Release | : 1978 |
Genre | : |
ISBN | : |
Author | : Kriss Anthony Schueller |
Publisher | : |
Total Pages | : |
Release | : 1987 |
Genre | : |
ISBN | : |
Author | : Zarin Tasnim Sandhie |
Publisher | : Springer Nature |
Total Pages | : 110 |
Release | : 2022-10-28 |
Genre | : Technology & Engineering |
ISBN | : 3031161955 |
This book provides readers with an overview of the fundamental definitions and features of Multiple-Valued Logic (MVL). The authors include a brief discussion of the historical development of MVL technologies, while the main goal of the book is to present a comprehensive review of different technologies that are being explored to implement multiple-valued or beyond-binary memory circuits and systems. The discussion includes the basic features, prospects, and challenges of each technology, while highlighting the significant works done on different branches of MVL memory architecture, such as sequential circuits, random access memory, Flash memory, etc.
Author | : H. Fleisher |
Publisher | : |
Total Pages | : 6 |
Release | : 1983 |
Genre | : |
ISBN | : |
In this paper, multiple valued logic is discussed in terms of its implementation by PLAs. The history of the PLA is described and the relevance of multivalued logic to PLA development and logic minimization is discussed. An important aspect of VLSI implementation is used as a parameter to compare binary logic circuits with multiple valued logic circuits and certain conclusions are reached. The functional usefulness of n-valued Post logics is identified in terms of various applications. (Author).
Author | : Leonard Bolc |
Publisher | : Springer Science & Business Media |
Total Pages | : 328 |
Release | : 2003-10-23 |
Genre | : Mathematics |
ISBN | : 9783540645078 |
Many-valued logics are becoming increasingly important in all areas of computer science. This is the second volume of an authoritative two-volume handbook on many valued logics by two leading figures in the field. While the first volume was mainly concerned with theoretical foundations, this volume emphasizes automated reasoning, practical applications, and the latest developments in fuzzy logic and rough set theory. Among the applications presented are those in software specification and electronic circuit verification.