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Author : Milos D. Ercegovac,Tomás Lang
Publisher : Elsevier
Page : 736 pages
File Size : 48,5 Mb
Release : 2004
Category : Computers
ISBN : 9781558607989
The authoritative reference on the theory and design practice of computer arithmetic.
Author : Ryan Kastner,Anup Hosangadi,Farzan Fallah
Publisher : Cambridge University Press
Page : 199 pages
File Size : 45,5 Mb
Release : 2010-05-06
Category : Computers
ISBN : 9781139487320
Obtain better system performance, lower energy consumption, and avoid hand-coding arithmetic functions with this concise guide to automated optimization techniques for hardware and software design. High-level compiler optimizations and high-speed architectures for implementing FIR filters are covered, which can improve performance in communications, signal processing, computer graphics, and cryptography. Clearly explained algorithms and illustrative examples throughout make it easy to understand the techniques and write software for their implementation. Background information on the synthesis of arithmetic expressions and computer arithmetic is also included, making the book ideal for newcomers to the subject. This is an invaluable resource for researchers, professionals, and graduate students working in system level design and automation, compilers, and VLSI CAD.
Author : Ulrich W. Kulisch
Publisher : Springer Science & Business Media
Page : 151 pages
File Size : 53,6 Mb
Release : 2012-09-07
Category : Computers
ISBN : 9783709105252
The number one requirement for computer arithmetic has always been speed. It is the main force that drives the technology. With increased speed larger problems can be attempted. To gain speed, advanced processors and pro gramming languages offer, for instance, compound arithmetic operations like matmul and dotproduct. But there is another side to the computational coin - the accuracy and reliability of the computed result. Progress on this side is very important, if not essential. Compound arithmetic operations, for instance, should always deliver a correct result. The user should not be obliged to perform an error analysis every time a compound arithmetic operation, implemented by the hardware manufacturer or in the programming language, is employed. This treatise deals with computer arithmetic in a more general sense than usual. Advanced computer arithmetic extends the accuracy of the elementary floating-point operations, for instance, as defined by the IEEE arithmetic standard, to all operations in the usual product spaces of computation: the complex numbers, the real and complex intervals, and the real and complex vectors and matrices and their interval counterparts. The implementation of advanced computer arithmetic by fast hardware is examined in this book. Arithmetic units for its elementary components are described. It is shown that the requirements for speed and for reliability do not conflict with each other. Advanced computer arithmetic is superior to other arithmetic with respect to accuracy, costs, and speed.
Author : Joseph Cavanagh
Publisher : McGraw-Hill Companies
Page : 490 pages
File Size : 53,8 Mb
Release : 1984
Category : Computers
ISBN : UOM:39015006108073
Author : Earl E Swartzlander
Publisher : World Scientific
Page : 398 pages
File Size : 40,5 Mb
Release : 2015-03-17
Category : Mathematics
ISBN : 9789814651585
The book provides many of the basic papers in computer arithmetic. These papers describe the concepts and basic operations (in the words of the original developers) that would be useful to the designers of computers and embedded systems. Although the main focus is on the basic operations of addition, multiplication and division, advanced concepts such as logarithmic arithmetic and the calculations of elementary functions are also covered. This volume is part of a 3 volume set: Computer Arithmetic Volume I Computer Arithmetic Volume II Computer Arithmetic Volume III The full set is available for sale in a print-only version. Contents:OverviewAdditionParallel Prefix AdditionMulti-Operand AdditionMultiplicationDivisionLogarithmsElementary FunctionsFloating-Point Arithmetic Readership: Graduate students and research professionals interested in computer arithmetic. Key Features:It reprints the classic papersIt covers the basic arithmetic operationsIt does this in the words of the creatorsKeywords:Computer Arithmetic;Adders;Parallel Prefix Adders;Multi-operand Adders;Multipliers;Dividers;Logarithmic Arithmetic;Elementary Function Evaluation
Author : Jean-Michel Muller,Nicolas Brisebarre,Florent de Dinechin,Claude-Pierre Jeannerod,Vincent Lefèvre,Guillaume Melquiond,Nathalie Revol,Damien Stehlé,Serge Torres
Publisher : Springer Science & Business Media
Page : 579 pages
File Size : 50,6 Mb
Release : 2009-11-11
Category : Mathematics
ISBN : 9780817647056
Floating-point arithmetic is the most widely used way of implementing real-number arithmetic on modern computers. However, making such an arithmetic reliable and portable, yet fast, is a very difficult task. As a result, floating-point arithmetic is far from being exploited to its full potential. This handbook aims to provide a complete overview of modern floating-point arithmetic. So that the techniques presented can be put directly into practice in actual coding or design, they are illustrated, whenever possible, by a corresponding program. The handbook is designed for programmers of numerical applications, compiler designers, programmers of floating-point algorithms, designers of arithmetic operators, and more generally, students and researchers in numerical analysis who wish to better understand a tool used in their daily work and research.
Author : GOSLING
Publisher : Springer Science & Business Media
Page : 147 pages
File Size : 53,7 Mb
Release : 2013-11-11
Category : Computers
ISBN : 9781475749380
The original motivation for the development of digital computers was to make it possible to perform calculations that were too large to be attempted by a human being without serious likelihood of error. Once the users found that they could achieve their initial aims, they then wanted to go into greater detail, and to solve still bigger problems, so that the demand for extra computing power has continued unabated, and shows no sign of slackening. This book is an attempt to describe some of the more important techniques used today, or likely to be used in the near future, to perform arithmetic within the computing machine. There are, at present, few books in this field. Most books on computer design cover the more elementary methods, and some go into detail on one or two more ambitious units. Space does not allow more. In this text the aim has been to fill this gap in the literature. In selecting the topics to be covered, there have been two main aims: first, to deal with the basic procedures of arithmetic, and then to carry on to the design of more powerful units; second, to maintain a strictly practical approach. The number of mathematical formulae has been kept to a minimum, and the more complex ones have been eliminated, since they merely serve to obscure the essential principles.
Author : Dale R. Patrick,Stephen W. Fardo,Vigyan (Vigs) Chandra,Brian W. Fardo
Publisher : CRC Press
Page : 401 pages
File Size : 53,9 Mb
Release : 2023-12-14
Category : Technology & Engineering
ISBN : 9781003812944
Electronic Digital Systems Fundamentals, 2nd Edition is an introductory text that provides coverage of the various topics in the field of digital electronics. The key concepts presented in this book are discussed using a simplified approach that greatly enhances learning. The use of mathematics is kept to the very minimum and is discussed clearly through applications and illustrations. Each chapter is organized in a step-by-step progression of concepts and theory. The chapters begin with an introduction, discuss important concepts with the help of numerous illustrations, as well as examples, and conclude with summaries. The overall learning objectives of this book include: Describe the characteristics of a digital electronic system. Explain the operation of digital electronic gate circuits. Demonstrate how gate functions are achieved. Use binary, octal, and hexadecimal counting systems. Use Boolean algebra to define different logic operations. Change a logic diagram into a Boolean expression and a Boolean expression into a logic diagram. Explain how discrete components are utilized in the construction of digital integrated circuits. Discuss how counting, decoding, multiplexing, demultiplexing, and clocks function with logic devices. Change a truth table into a logic expression and a logic expression into a truth table. Identify some of the common functions of digital memory. Explain how arithmetic operations are achieved with digital circuitry. Describe the operation of microcontrollers.
Author : John Gustafson,Siew Hoon Leong,Marek Michalewicz
Publisher : Springer Nature
Page : 199 pages
File Size : 41,6 Mb
Release : 2023-05-11
Category : Computers
ISBN : 9783031321801
This book constitutes the refereed proceedings of the 4th International Conference on Next Generation Arithmetic, CoNGA 2023, held in Singapore, during March 1-2, 2023. The 11 full papers in this book were carefully reviewed and selected from 16 submissions. They were organized in topical sections as follows: Lossless FFTs Using Posit Arithmetic, PLAUs: Posit Logarithmic Approximate Units to Implement Low-Cost Operations with Real Numbers.
Author : Jean-Pierre Deschamps,Gery J.A. Bioul,Gustavo D. Sutter
Publisher : John Wiley & Sons
Page : 578 pages
File Size : 52,6 Mb
Release : 2006-03-24
Category : Technology & Engineering
ISBN : 9780471741411
A new approach to the study of arithmetic circuits In Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems, the authors take a novel approach of presenting methods and examples for the synthesis of arithmetic circuits that better reflects the needs of today's computer system designers and engineers. Unlike other publications that limit discussion to arithmetic units for general-purpose computers, this text features a practical focus on embedded systems. Following an introductory chapter, the publication is divided into two parts. The first part, Mathematical Aspects and Algorithms, includes mathematical background, number representation, addition and subtraction, multiplication, division, other arithmetic operations, and operations in finite fields. The second part, Synthesis of Arithmetic Circuits, includes hardware platforms, general principles of synthesis, adders and subtractors, multipliers, dividers, and other arithmetic primitives. In addition, the publication distinguishes itself with: * A separate treatment of algorithms and circuits-a more useful presentation for both software and hardware implementations * Complete executable and synthesizable VHDL models available on the book's companion Web site, allowing readers to generate synthesizable descriptions * Proposed FPGA implementation examples, namely synthesizable low-level VHDL models for the Spartan II and Virtex families * Two chapters dedicated to finite field operations This publication is a must-have resource for students in computer science and embedded system designers, engineers, and researchers in the field of hardware and software computer system design and development. An Instructor Support FTP site is available from the Wiley editorial department.
Author : Library of Congress. Office for Subject Cataloging Policy
Publisher : Unknown
Page : 1548 pages
File Size : 42,5 Mb
Release : 1990
Category : Subject headings, Library of Congress
ISBN : SRLF:E0000738492
Author : United States. Patent and Trademark Office
Publisher : Unknown
Page : 1222 pages
File Size : 45,8 Mb
Release : 1999
Category : Patents
ISBN : WISC:89070346366
Author : Tertulien Ndjountche
Publisher : John Wiley & Sons
Page : 328 pages
File Size : 50,6 Mb
Release : 2016-08-29
Category : Science
ISBN : 9781848219854
As electronic devices become increasingly prevalent in everyday life, digital circuits are becoming even more complex and smaller in size. This book presents the basic principles of digital electronics in an accessible manner, allowing the reader to grasp the principles of combinational and sequential logic and the underlying techniques for the analysis and design of digital circuits. Providing a hands-on approach, this work introduces techniques and methods for establishing logic equations and designing and analyzing digital circuits. Each chapter is supplemented with practical examples and well-designed exercises with worked solutions. This second of three volumes focuses on sequential and arithmetic logic circuits. It covers various aspects related to the following topics: latch and flip-flop; binary counters; shift registers; arithmetic and logic circuits; digital integrated circuit technology; semiconductor memory; programmable logic circuits. Along with the two accompanying volumes, this book is an indispensable tool for students at a bachelors or masters level seeking to improve their understanding of digital electronics, and is detailed enough to serve as a reference for electronic, automation and computer engineers.
Author : Phillip A. Laplante
Publisher : CRC Press
Page : 1013 pages
File Size : 46,6 Mb
Release : 2017-10-02
Category : Computers
ISBN : 9781351652490
With breadth and depth of coverage, the Encyclopedia of Computer Science and Technology, Second Edition has a multi-disciplinary scope, drawing together comprehensive coverage of the inter-related aspects of computer science and technology. The topics covered in this encyclopedia include: General and reference Hardware Computer systems organization Networks Software and its engineering Theory of computation Mathematics of computing Information systems Security and privacy Human-centered computing Computing methodologies Applied computing Professional issues Leading figures in the history of computer science The encyclopedia is structured according to the ACM Computing Classification System (CCS), first published in 1988 but subsequently revised in 2012. This classification system is the most comprehensive and is considered the de facto ontological framework for the computing field. The encyclopedia brings together the information and historical context that students, practicing professionals, researchers, and academicians need to have a strong and solid foundation in all aspects of computer science and technology.
Author : Library of Congress
Publisher : Unknown
Page : 1242 pages
File Size : 43,7 Mb
Release : 1998
Category : Subject headings, Library of Congress
ISBN : UCBK:C047931954
