Design Of Arithmetic Units For Digital Computers

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Design of Arithmetic Units for Digital Computers

Author : GOSLING
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.

Advanced Arithmetic for the Digital Computer

Author : Ulrich W. Kulisch
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.

Design of Digital Computers

Author : Hans W. Gschwind
Publisher : Springer Science & Business Media
ISBN 13 : 3642861903
Total Pages : 556 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Design of Digital Computers by : Hans W. Gschwind

Download or read book Design of Digital Computers written by Hans W. Gschwind and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: I have been using the first edition of this book as a text for a number of years. This was in a Stanford University first-year graduate course that is taken by students from Electrical Engineering or Computer Science who are interested in computer organization. Because computer tech nology has been changing so rapidly, it became necessary to supplement the text with additional readings. My colleagues and I examined many newly-published books for possible use as texts. We found no book with the same excellent choice of topics and thorough coverage as Dr. Gschwind's first edition. Springer-Verlag's request that I prepare a second edition of this book came at a time when I had many other projects underway. Before I de cided whether to take on the project of preparing a revision, I asked many of my students for their opinions of Dr. Gschwind's first edition. Even I was surprised by the enthusiasm that this rather skeptical and critical group of students displayed for the book. It was this enthusiasm that convinced me of the value and importance of preparing the revision.

Design of Digital Computers

Author : Hans W. Gschwind
Publisher : Springer-Verlag
ISBN 13 : 3709133696
Total Pages : 538 pages
Book Rating : 4.7/5 (91 download)

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Book Synopsis Design of Digital Computers by : Hans W. Gschwind

Download or read book Design of Digital Computers written by Hans W. Gschwind and published by Springer-Verlag. This book was released on 2013-03-13 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arithmetic and Logic in Computer Systems

Author : Mi Lu
Publisher : John Wiley & Sons
ISBN 13 : 0471726214
Total Pages : 270 pages
Book Rating : 4.4/5 (717 download)

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Book Synopsis Arithmetic and Logic in Computer Systems by : Mi Lu

Download or read book Arithmetic and Logic in Computer Systems written by Mi Lu and published by John Wiley & Sons. This book was released on 2005-03-04 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples. No other current books deal with this subject, and the author is a leading authority in the field of computer arithmetic. The text introduces the Conventional Radix Number System and the Signed-Digit Number System, as well as Residue Number System and Logarithmic Number System. This book serves as an essential, up-to-date guide for students of electrical engineering and computer and mathematical sciences, as well as practicing engineers and computer scientists involved in the design, application, and development of computer arithmetic units.

Digital Computer Design

Author : Edward L. Braun
Publisher : Academic Press
ISBN 13 : 1483275736
Total Pages : 620 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Digital Computer Design by : Edward L. Braun

Download or read book Digital Computer Design written by Edward L. Braun and published by Academic Press. This book was released on 2014-05-12 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Computer Design: Logic, Circuitry, and Synthesis focuses on the logical structure, electronic realization, and application of digital information processors. The manuscript first offers information on numerical symbols, fundamentals of computing aids, quantization, representation of numbers in an electronic digital computer, and computer applications. The text then ponders on the nature of automatic computation and Boolean algebra. Discussions focus on the advantages of a Boolean algebraic description of a digital computer; clock pulse generators and timing circuits; sequential switching networks; elements of information processing systems and types of digital computers; and automatic sequencing methods. The book elaborates on circuit descriptions of switching and storage elements and large capacity storage systems. Topics include static magnetic storage, dynamic delay line storage, cathode-ray storage, vacuum tube systems of circuit logic, and magnetic core systems of circuit logic. The publication also examines the system design of GP computers, digital differential analyzer, and the detection and correction of errors. The text is a valuable source of data for mathematicians and engineers interested in digital computer design.

Advanced Arithmetic for the Digital Computer

Author : Ulrich Kulisch
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:

Algorithms and Design Methods for Digital Computer Arithmetic

Author : Behrooz Parhami
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.

Digital Computer Arithmetic

Author : Joseph Cavanagh
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:

Digital Computer Structure and Design

Author : R. Townsend
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.

Advanced Computer Arithmetic Design

Author : Michael J. Flynn
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.

Logical Design of Digital Computers

Author : Montgomery Phister
Publisher :
ISBN 13 :
Total Pages : 432 pages
Book Rating : 4.:/5 (2 download)

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Book Synopsis Logical Design of Digital Computers by : Montgomery Phister

Download or read book Logical Design of Digital Computers written by Montgomery Phister and published by . This book was released on 1958 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Principles of Digital Computer Design

Author : Abd-Elfattah M. Abd-Alla
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 632 pages
Book Rating : 4.:/5 (45 download)

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Book Synopsis Principles of Digital Computer Design by : Abd-Elfattah M. Abd-Alla

Download or read book Principles of Digital Computer Design written by Abd-Elfattah M. Abd-Alla and published by Prentice Hall. This book was released on 1976 with total page 632 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer uses and application; Number systems; Arithmetic operations; Codes; Switching algebra and logic gates; Functional logic subunits; Computer architecture and programming; Arithmetic units; Memory; Data, input/output, and channels; The control unit; Design of a small digital computer.

The Design of an Arithmetic Unit for an Electronic Digital Computer

Author : John Ludwig Asmuth
Publisher :
ISBN 13 :
Total Pages : 342 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis The Design of an Arithmetic Unit for an Electronic Digital Computer by : John Ludwig Asmuth

Download or read book The Design of an Arithmetic Unit for an Electronic Digital Computer written by John Ludwig Asmuth and published by . This book was released on 1955 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computer Arithmetic

Author : Behrooz Parhami
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 684 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Computer Arithmetic by : Behrooz Parhami

Download or read book Computer Arithmetic written by Behrooz Parhami and published by Oxford University Press, USA. This book was released on 2010 with total page 684 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.

Theory and Design of Digital Computers

Author : Douglas Lewin
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 406 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Theory and Design of Digital Computers by : Douglas Lewin

Download or read book Theory and Design of Digital Computers written by Douglas Lewin and published by John Wiley & Sons. This book was released on 1972 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Digital Design and Computer Organization

Author : Hassan A. Farhat
Publisher : CRC Press
ISBN 13 : 0203486692
Total Pages : 496 pages
Book Rating : 4.2/5 (34 download)

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Book Synopsis Digital Design and Computer Organization by : Hassan A. Farhat

Download or read book Digital Design and Computer Organization written by Hassan A. Farhat and published by CRC Press. This book was released on 2003-12-29 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: Digital Design and Computer Organization introduces digital design as it applies to the creation of computer systems. It summarizes the tools of logic design and their mathematical basis, along with in depth coverage of combinational and sequential circuits. The book includes an accompanying CD that includes the majority of circuits highlig