Advanced Arithmetic for the Digital Computer

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Publisher : Springer Science & Business Media
ISBN 13 : 3709105250
Total Pages : 151 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Advanced Arithmetic for the Digital Computer by : Ulrich W. Kulisch

Download or read book Advanced Arithmetic for the Digital Computer written by Ulrich W. Kulisch and published by Springer Science & Business Media. This book was released on 2012-09-07 with total page 151 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Advanced Arithmetic for the Digital Computer

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Publisher :
ISBN 13 : 9783709105269
Total Pages : 160 pages
Book Rating : 4.1/5 (52 download)

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Book Synopsis Advanced Arithmetic for the Digital Computer by : Ulrich Kulisch

Download or read book Advanced Arithmetic for the Digital Computer written by Ulrich Kulisch and published by . This book was released on 2014-01-15 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Arithmetic and Validity

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Author :
Publisher : Walter de Gruyter
ISBN 13 : 3110301792
Total Pages : 456 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Computer Arithmetic and Validity by : Ulrich Kulisch

Download or read book Computer Arithmetic and Validity written by Ulrich Kulisch and published by Walter de Gruyter. This book was released on 2013-04-30 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the revised and extended second edition of the successful basic book on computer arithmetic. It is consistent with the newest recent standard developments in the field. The book shows how the arithmetic and mathematical capability of the digital computer can be enhanced in a quite natural way. The work is motivated by the desire and the need to improve the accuracy of numerical computing and to control the quality of the computed results (validity). The accuracy requirements for the elementary floating-point operations are extended to the customary product spaces of computations including interval spaces. The mathematical properties of these models are extracted into an axiomatic approach which leads to a general theory of computer arithmetic. Detailed methods and circuits for the implementation of this advanced computer arithmetic on digital computers are developed in part two of the book. Part three then illustrates by a number of sample applications how this extended computer arithmetic can be used to compute highly accurate and mathematically verified results. The book can be used as a high-level undergraduate textbook but also as reference work for research in computer arithmetic and applied mathematics.

Advanced Arithmetic for the Digital Computer

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Publisher :
ISBN 13 :
Total Pages : 52 pages
Book Rating : 4.:/5 (314 download)

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Book Synopsis Advanced Arithmetic for the Digital Computer by : Ulrich Kulisch

Download or read book Advanced Arithmetic for the Digital Computer written by Ulrich Kulisch and published by . This book was released on 2001 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advanced Arithmetic for the Digital Computer

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Author :
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (313 download)

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Book Synopsis Advanced Arithmetic for the Digital Computer by : Ulrich Kulisch

Download or read book Advanced Arithmetic for the Digital Computer written by Ulrich Kulisch and published by . This book was released on 1998 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Digital Computer Arithmetic

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Author :
Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 490 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Digital Computer Arithmetic by : Joseph Cavanagh

Download or read book Digital Computer Arithmetic written by Joseph Cavanagh and published by McGraw-Hill Companies. This book was released on 1984 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms and Design Methods for Digital Computer Arithmetic

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Publisher :
ISBN 13 : 9780199766932
Total Pages : 623 pages
Book Rating : 4.7/5 (669 download)

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Book Synopsis Algorithms and Design Methods for Digital Computer Arithmetic by : Behrooz Parhami

Download or read book Algorithms and Design Methods for Digital Computer Arithmetic written by Behrooz Parhami and published by . This book was released on 2012 with total page 623 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for graduate and senior undergraduate courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, provides a balanced, comprehensive treatment of computer arithmetic. It covers topics in arithmetic unit design and circuit implementation that complement the architectural and algorithmic speedup techniques used in high-performance computer architecture and parallel processing. Using a unified and consistent framework, the text begins with number representation and proceeds through basic arithmetic operations, floating-point arithmetic, and function evaluation methods. Later chapters cover broad design and implementation topics-including techniques for high-throughput, low-power, fault-tolerant, and reconfigurable arithmetic. An appendix provides a historical view of the field and speculates on its future.An indispensable resource for instruction, professional development, and research, Computer Arithmetic: Algorithms and Hardware Designs, Second Edition, combines broad coverage of the underlying theories of computer arithmetic with numerous examples of practical designs, worked-out examples, and a large collection of meaningful problems. This second edition includes a new chapter on reconfigurable arithmetic, in order to address the fact that arithmetic functions are increasingly being implemented on field-programmable gate arrays (FPGAs) and FPGA-like configurable devices. Updated and thoroughly revised, the book offers new and expanded coverage of saturating adders and multipliers, truncated multipliers, fused multiply-add units, overlapped quotient digit selection, bipartite and multipartite tables, reversible logic, dot notation, modular arithmetic, Montgomery modular reduction, division by constants, IEEE floating-point standard formats, and interval arithmetic.Readership: Graduate and senior undergraduate courses in computer arithmetic and advanced digital design.

Advanced Computer Arithmetic Design

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 352 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Advanced Computer Arithmetic Design by : Michael J. Flynn

Download or read book Advanced Computer Arithmetic Design written by Michael J. Flynn and published by Wiley-Interscience. This book was released on 2001 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Innovative techniques and cutting-edge research in computer arithmetic design Computer arithmetic is a fundamental discipline that drives many modern digital technologies. High-performance VLSI implementations of 3-D graphics, encryption, streaming digital audio and video, and signal processing all require fast and efficient computer arithmetic algorithms. The demand for these fast implementations has led to a wealth of new research in innovative techniques and designs. Advanced Computer Arithmetic Design is the result of ten years of effort at Stanford University under the Sub-Nanosecond Arithmetic Processor (SNAP) project, which author Michael Flynn directs. Written with computer designers and researchers in mind, this volume focuses on design, rather than on other aspects of computer arithmetic such as number systems, representation, or precision. Each chapter begins with a review of conventional design approaches, analyzes the possibilities for improvement, and presents new research that advances the state of the art. The authors present new data in these vital areas: ? Addition and the Ling adder ? Improvements to floating-point addition ? Encoding to reduce execution times for multiplication ? The effects of technology scaling on multiplication ? Techniques for floating-point division ? Approximation techniques for high-level functions such as square root, logarithms, and trigonometric functions ? Assessing cost performance of arithmetic units ? Clocking to increase computer operation frequency ? New implementation of continued fractions to the approximation of functions This volume presents the results of a decade's research in innovative and progressive design techniques. Covering all the most important research topics in the field, Advanced Computer Arithmetic Design is the most up-to-date and comprehensive treatment of new research currently available.

Design of Arithmetic Units for Digital Computers

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Publisher : Springer Science & Business Media
ISBN 13 : 1475749384
Total Pages : 147 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Design of Arithmetic Units for Digital Computers by : GOSLING

Download or read book Design of Arithmetic Units for Digital Computers written by GOSLING and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 147 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Arithmetic Operations in Digital Computers

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Publisher :
ISBN 13 : 9781258810467
Total Pages : 404 pages
Book Rating : 4.8/5 (14 download)

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Book Synopsis Arithmetic Operations in Digital Computers by : Richard Kohler Richards

Download or read book Arithmetic Operations in Digital Computers written by Richard Kohler Richards and published by . This book was released on 2013-09 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Digital Computer Arithmetic

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Publisher :
ISBN 13 :
Total Pages : 468 pages
Book Rating : 4.:/5 (848 download)

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Book Synopsis Digital Computer Arithmetic by : Joseph J. F. Cavanagh

Download or read book Digital Computer Arithmetic written by Joseph J. F. Cavanagh and published by . This book was released on 1984 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Arithmetic

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Publisher : World Scientific
ISBN 13 : 9814651583
Total Pages : 398 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Computer Arithmetic by : Earl E Swartzlander

Download or read book Computer Arithmetic written by Earl E Swartzlander and published by World Scientific. This book was released on 2015-03-17 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Computer Arithmetic

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Publisher : World Scientific
ISBN 13 : 9814641480
Total Pages : 486 pages
Book Rating : 4.8/5 (146 download)

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Book Synopsis Computer Arithmetic by : Earl E Swartzlander

Download or read book Computer Arithmetic written by Earl E Swartzlander and published by World Scientific. This book was released on 2015-03-17 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the new edition of the classic book Computer Arithmetic in three volumes published originally in 1990 by IEEE Computer Society Press. As in the original, the book contains many classic papers treating advanced concepts in computer arithmetic, which is very suitable as stand-alone textbooks or complementary materials to textbooks on computer arithmetic for graduate students and research professionals interested in the field. Told in the words of the initial developers, this book conveys the excitement of the creators, and the implementations provide insight into the details necessary to realize real chips. This second volume presents topics on error tolerant arithmetic, digit on-line arithmetic, number systems, and now in this new edition, a topic on implementations of arithmetic operations, all wrapped with an updated overview and a new introduction for each chapter. 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:Error Tolerant ArithmeticOn-Line ArithmeticVLSI Adder ImplementationsVLSI Multiplier ImplementationsFloating-Point VLSI ChipsNumber RepresentationImplementations Readership: Graduate students and research professionals interested in computer arithmetic. Key Features:It reprints the classic papersIt covers advanced arithmetic operationsIt does this in the words of the original creatorsKeywords:Computer Arithmetic;Fault Tolerant;Arithmetic;On-Line Arithmetic;Adder Implementations;Multiplier Implementations;Floating Point Chips;Number Representation;Implementations

Digital Computer Structure and Design

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Publisher : Butterworth-Heinemann
ISBN 13 : 148310107X
Total Pages : 258 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Digital Computer Structure and Design by : R. Townsend

Download or read book Digital Computer Structure and Design written by R. Townsend and published by Butterworth-Heinemann. This book was released on 2014-05-20 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Computer Structure and Design, Second Edition discusses switching theory, counters, sequential circuits, number representation, and arithmetic functions The book also describes computer memories, the processor, data flow system of the processor, the processor control system, and the input-output system. Switching theory, which is purely a mathematical concept, centers on the properties of interconnected networks of "gates." The theory deals with binary functions of 1 and 0 which can change instantaneously from one to the other without intermediate values. The binary number system is used in computer arithmetic and other operations due to its simplicity that can be easily adopted in device parameters. These operations involve only two levels: the "on" or "off" positions, which also offer maximum immunity to noise or circuit interference. The binary system is a very efficient way to represent numbers or to store data. When the computer uses this system, the clock cycle of the processor determines or divides the cycles for each sub-operation into steps. A master timing counter defines each of these steps, and synchronizes them avoid data loss or mix-ups. After the sub-operation has been completed, the monitor will display the result. Programmers, computer engineers, computer instructors, and students of computer science will find the book highly useful.

Digital Arithmetic

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Publisher : Elsevier
ISBN 13 : 1558607986
Total Pages : 736 pages
Book Rating : 4.5/5 (586 download)

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Book Synopsis Digital Arithmetic by : Milos D. Ercegovac

Download or read book Digital Arithmetic written by Milos D. Ercegovac and published by Elsevier. This book was released on 2004 with total page 736 pages. Available in PDF, EPUB and Kindle. Book excerpt: The authoritative reference on the theory and design practice of computer arithmetic.

Symposium on Advanced Programming Methods for Digital Computers

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Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Symposium on Advanced Programming Methods for Digital Computers by : United States. Navy Mathematical Computing Advisory Panel

Download or read book Symposium on Advanced Programming Methods for Digital Computers written by United States. Navy Mathematical Computing Advisory Panel and published by . This book was released on 1956 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:

An Introduction to Automatic Digital Computers

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Publisher : Cambridge University Press
ISBN 13 : 1316633306
Total Pages : 71 pages
Book Rating : 4.3/5 (166 download)

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Book Synopsis An Introduction to Automatic Digital Computers by : R. K. Livesley

Download or read book An Introduction to Automatic Digital Computers written by R. K. Livesley and published by Cambridge University Press. This book was released on 2017-02-23 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1960, this textbook provides a comprehensive introductory account of digital computers for those without advanced mathematical training.