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.
Download or read book Arithmetic Operations in Digital Computers written by R. K. Richards and published by . This book was released on 19?? with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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:
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.
Download or read book Arithmetic operations in digital computers written by Richard K. Richards and published by . This book was released on 1965 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Computer Arithmetic Algorithms written by Israel Koren and published by CRC Press. This book was released on 2018-10-08 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text explains the fundamental principles of algorithms available for performing arithmetic operations on digital computers. These include basic arithmetic operations like addition, subtraction, multiplication, and division in fixed-point and floating-point number systems as well as more complex operations such as square root extraction and evaluation of exponential, logarithmic, and trigonometric functions. The algorithms described are independent of the particular technology employed for their implementation.
Download or read book Arithmetic Operations in Digital Computers written by R K (Richard Kohler) 1921- Richards and published by Hassell Street Press. This book was released on 2021-09-10 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
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.
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.
Download or read book Design of Digital Computers written by Hans W. Gschwind and published by Springer. This book was released on 2013-12-19 with total page 538 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Digital Computing written by F. H. George and published by Elsevier. This book was released on 2014-05-09 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Digital Computing provides information pertinent to the fundamental aspects of digital computing. This book represents a major step towards the universal availability of programmed material. Organized into four chapters, this book begins with an overview of the fundamental workings of the computer, including the way it handles simple arithmetic problems. This text then provides a brief survey of the basic features of a typical computer that is divided into three sections, namely, the input and output system, the memory system for data storage, and a processing system. Other chapters focus on programming and on the workings of the computer control unit. This book discusses as well the various arithmetic codes such as binary, decimal, octal, duodecimal, and hexadecimal codes. The final chapter deals with some of the more detailed workings of the control unit. This book is a valuable resource for university students and computer specialists.
Download or read book Computer Arithmetic written by Earl E. Swartzlander and published by Institute of Electrical & Electronics Engineers(IEEE). This book was released on 1990 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
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.
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 261 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.
Download or read book Computer Arithmetic in Theory and Practice written by Ulrich W. Kulisch and published by Academic Press. This book was released on 2014-05-12 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Arithmetic in Theory and Practice deals with computer arithmetic and the various implementations of the entire arithmetic package on diverse processors, including microprocessors. It illustrates the importance of theoretical development in the sound implementation of arithmetic on computers, and argues that such an implementation requires the establishment of various isomorphisms between different definitions of arithmetic operations. Comprised of seven chapters, this volume begins with an introduction to the theory of computer arithmetic by giving an axiomatic characterization of the essential properties of sets and subsets; complete lattices and complete subnets; screens and roundings; and arithmetic operations. The discussion then turns to the concepts of a ringoid and a vectoid as well as those of ordered or weakly ordered ringoids and vectoids; interval arithmetic; and floating-point arithmetic. The operations in interval spaces are defined by means of semimorphisms. The final chapter shows how to embed the five basic data types (integer, real, complex, real interval, and complex interval) together with the arithmetic operations that are defined for all of these types into existing higher programming languages. This book will be helpful to students and practitioners in the fields of computer science and applied mathematics.
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.
Download or read book Electronic Digital Computers written by Franz L. Alt and published by Elsevier. This book was released on 2012-12-02 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: Electronic Digital Computers: Their Use in Science and Engineering describes the principles underlying computer design and operation. This book describes the various applications of computers, the stages involved in using them, and their limitations. The machine is composed of the hardware which is run by a program. This text describes the use of magnetic drum for storage of data and some computing. The functions and components of the computer include automatic control, memory, input of instructions by using punched cards, and output from resulting information. Computers operate by using numbers represented by the binary system of 0 and 1. Earlier machines used numbers on wheels which were rotated to different positions, perforations in paper, or blackened spots on films. The computer can handle large numbers only to many numerical places: it does this by rounding off numbers "on the right," or by avoidance of numbers greater than the machine can handle "on the left." The book also addresses machine installation, management, and personnel requirements for trouble-free computing. Computer programmers, engineers, designers of industrial processes, and researchers involved in electrical, computer, or mechanical engineering will find this book informative.
