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Author : Norman Ross Scott
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 288 pages
Book Rating : 4.3/5 (91 download)
Download or read book Computer Number Systems and Arithmetic written by Norman Ross Scott and published by Prentice Hall. This book was released on 1985 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ronald T. Kneusel
Publisher : Springer
ISBN 13 : 3319505084
Total Pages : 346 pages
Book Rating : 4.3/5 (195 download)
Download or read book Numbers and Computers written by Ronald T. Kneusel and published by Springer. This book was released on 2017-02-09 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book about numbers and how those numbers are represented in and operated on by computers. It is crucial that developers understand this area because the numerical operations allowed by computers, and the limitations of those operations, especially in the area of floating point math, affect virtually everything people try to do with computers. This book aims to fill this gap by exploring, in sufficient but not overwhelming detail, just what it is that computers do with numbers. Divided into two parts, the first deals with standard representations of integers and floating point numbers, while the second examines several other number representations. Details are explained thoroughly, with clarity and specificity. Each chapter ends with a summary, recommendations, carefully selected references, and exercises to review the key points. Topics covered include interval arithmetic, fixed-point numbers, big integers and rational arithmetic. This new edition has three new chapters: Pitfalls of Floating-Point Numbers (and How to Avoid Them), Arbitrary Precision Floating Point, and Other Number Systems. This book is for anyone who develops software including software engineers, scientists, computer science students, engineering students and anyone who programs for fun.
Author : Mi Lu
Publisher : John Wiley & Sons
ISBN 13 : 0471726214
Total Pages : 270 pages
Book Rating : 4.4/5 (717 download)
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.
Author : Gabriel Esmay
Publisher : Teacher Created Materials
ISBN 13 : 1480757942
Total Pages : 35 pages
Book Rating : 4.4/5 (87 download)
Download or read book The History of Number Systems: Place Value written by Gabriel Esmay and published by Teacher Created Materials. This book was released on 2017-06-01 with total page 35 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learn the history of number systems with this engaging book! This text combines mathematics and literacy skills, and uses practical, real-world examples of problem solving to teach math and language arts content. Students will learn place value while reading about the number systems of the Egyptians and Romans, and also learn important vocabulary terms like cuneiform, binary systems, roman numerals, and more! The full-color images, math charts, and practice problems make learning math easy and fun. The table of contents, glossary, and index will further understanding of math and reading concepts. The Math Talk problems and Explore Math sidebars provide additional learning opportunities while developing students higher-order thinking skills.
Author : Ulrich Kulisch
Publisher : Walter de Gruyter
ISBN 13 : 3110301792
Total Pages : 456 pages
Book Rating : 4.1/5 (13 download)
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.
Author : Peter Kornerup
Publisher : Cambridge University Press
ISBN 13 : 113964355X
Total Pages : pages
Book Rating : 4.1/5 (396 download)
Download or read book Finite Precision Number Systems and Arithmetic written by Peter Kornerup and published by Cambridge University Press. This book was released on 2010-09-30 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.
Author : William Parks
Publisher :
ISBN 13 : 9781790672523
Total Pages : 34 pages
Book Rating : 4.6/5 (725 download)
Download or read book Computer Number Bases written by William Parks and published by . This book was released on 2018-12-03 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Computer Number Bases" was originally published by Williamsville Publishing Company as part of their popular computer math Tape'nText series. It has been adapted and republished by Hershey Books. Material in "Computer Number Bases" was submitted for review in "The Mathematics Teacher" and received praise - "The development is well done." ABOUT THE BOOK: "Computer Number Bases" covers Base Ten (Decimal), Base Two (Binary), Base Eight (Octal) and Base 16 (Hexadecimal). These four number systems are important to gain insight into how computer systems operate internally. Binary Arithmetic is introduced after a thorough study of the underlying structure of each of the four computer number bases. Questions are listed in exercises at the end of each section and the answer key is conveniently located after each exercise. This book is part of the "Computer Mathematics Series" that also includes: "Sets and Flowcharts," "Introduction to Logic," and "Boolean Algebra and Switching Circuits." The four titles in the series give an excellent introduction to these topics and provide a firm foundation for beginners to study more advanced topics in computer mathematics. This text contributes to STEM-based instruction. STEM is an acronym that includes education in the fields of science, technology, engineering, mathematics and computer science. These areas of knowledge help students learn to communicate better in mathematics and computer science using sets, numbers, logic and flowcharts and displaying information in various ways.ABOUT THE AUTHOR: William Parks, B.S., M.S., Ed.M., taught secondary level mathematics in private and public high schools in New York for five years. He taught community college mathematics and computer science for 25 years in New York, Tennessee, Maryland and Arizona. He was a computer science degree program developer at four colleges: SUNY Colleges at Buffalo and Fredonia, Elon University and D'Youville College. He was the technical editor for "Personal Computing" and "PC AI" magazines.
Author : Behrooz Parhami
Publisher : Oxford University Press, USA
ISBN 13 :
Total Pages : 684 pages
Book Rating : 4.:/5 (318 download)
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.
Author : C H C Little
Publisher : World Scientific Publishing Company
ISBN 13 : 9813106182
Total Pages : 240 pages
Book Rating : 4.8/5 (131 download)
Download or read book The Number Systems of Analysis written by C H C Little and published by World Scientific Publishing Company. This book was released on 2003-09-05 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although students of analysis are familiar with real and complex numbers, few treatments of analysis deal with the development of such numbers in any depth. An understanding of number systems at a fundamental level is necessary for a deeper grasp of analysis. Beginning with elementary concepts from logic and set theory, this book develops in turn the natural numbers, the integers and the rational, real and complex numbers. The development is motivated by the need to solve polynomial equations, and the book concludes by proving that such equations have solutions in the complex number system.
Author : Earl E. Swartzlander
Publisher : Los Alamitos, CA : IEEE Computer Society Press
ISBN 13 : 9780818689451
Total Pages : 424 pages
Book Rating : 4.6/5 (894 download)
Download or read book Computer Arithmetic written by Earl E. Swartzlander and published by Los Alamitos, CA : IEEE Computer Society Press. This book was released on 1990 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics of Computing -- Numerical Analysis.
Author : Gideon Langholz
Publisher : World Scientific Publishing Company
ISBN 13 : 9813105100
Total Pages : 604 pages
Book Rating : 4.8/5 (131 download)
Download or read book Foundations of Digital Logic Design written by Gideon Langholz and published by World Scientific Publishing Company. This book was released on 1998-08-11 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for a first course in digital logic design, at the sophomore or junior level, for electrical engineering, computer engineering and computer science programs, as well as for a number of other disciplines such as physics and mathematics. The book can also be used for self-study or for review by practicing engineers and computer scientists not intimately familiar with the subject. After completing this text, the student should be prepared for a second (advanced) course in digital design, switching and automata theory, microprocessors or computer organization. Request Inspection Copy
Author : F. H. George
Publisher : Elsevier
ISBN 13 : 1483180913
Total Pages : 293 pages
Book Rating : 4.4/5 (831 download)
Download or read book Computer Arithmetic written by F. H. George and published by Elsevier. This book was released on 2014-05-09 with total page 293 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Arithmetic provides information pertinent to the fundamental aspects of a digital computer. This book discusses how the control unit uses the arithmetic unit to produce, under commands, the answers asked by the user. Organized into four chapters, this book begins with an overview of the binary code and provides a preview of the use of other arithmetic codes outside the computer. This text then explains in detail the codes employed in the representation of numbers inside the computer. Other chapters consider the number systems as well as other related matters to be able to understand computer arithmetic. This book discusses as well the signed numbers and their conversations, as well as the problems of scaling. The final chapter deals with the methods of fixed- and floating-point arithmetic, rounding off, and overflow. This book is a valuable resource for sixth form as well as university students who are interested in arithmetic codes.
Author : Ron Dai
Publisher : Apress
ISBN 13 : 1484252098
Total Pages : 228 pages
Book Rating : 4.4/5 (842 download)
Download or read book Learn Java with Math written by Ron Dai and published by Apress. This book was released on 2019-11-11 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are many good Java programming books on the market, but it's not easy to find one fit for a beginner. This book simplifies the complexity of Java programming and guides you through the journey to effectively work under the hood. You'll start with the fundamentals of Java programming and review how it integrates with basic mathematical concepts through many practical examples. You'll witness firsthand how Java can be a powerful tool or framework in your experimentation work. Learn Java with Math reveals how a strong math foundation is key to learning programming design. Using this as your motivation, you'll be programming in Java in no time. What You'll Learn Explore Java basicsProgram with Java using fun math-inspired examplesWork with Java variables and algorithmsReview I/O, loops, and control structuresUse projects such as the Wright brothers coin flip gameWho This Book Is For Those new to programming and Java but have some background in mathematics and are at least comfortable with using a computer.
Author : Vassil Dimitrov
Publisher : CRC Press
ISBN 13 : 1439830479
Total Pages : 294 pages
Book Rating : 4.4/5 (398 download)
Download or read book Multiple-Base Number System written by Vassil Dimitrov and published by CRC Press. This book was released on 2017-12-19 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer arithmetic has become so fundamentally embedded into digital design that many engineers are unaware of the many research advances in the area. As a result, they are losing out on emerging opportunities to optimize its use in targeted applications and technologies. In many cases, easily available standard arithmetic hardware might not necessarily be the most efficient implementation strategy. Multiple-Base Number System: Theory and Applications stands apart from the usual books on computer arithmetic with its concentration on the uses and the mathematical operations associated with the recently introduced multiple-base number system (MBNS). The book identifies and explores several diverse and never-before-considered MBNS applications (and their implementation issues) to enhance computation efficiency, specifically in digital signal processing (DSP) and public key cryptography. Despite the recent development and increasing popularity of MBNS as a specialized tool for high-performance calculations in electronic hardware and other fields, no single text has compiled all the crucial, cutting-edge information engineers need to optimize its use. The authors’ main goal was to disseminate the results of extensive design research—including much of their own—to help the widest possible audience of engineers, computer scientists, and mathematicians. Dedicated to helping readers apply discoveries in advanced integrated circuit technologies, this single reference is packed with a wealth of vital content previously scattered throughout limited-circulation technical and mathematical journals and papers—resources generally accessible only to researchers and designers working in highly specialized fields. Leveling the informational playing field, this resource guides readers through an in-depth analysis of theory, architectural techniques, and the latest research on the subject, subsequently laying the groundwork users require to begin applying MBNS.
Author : Israel Koren
Publisher : CRC Press
ISBN 13 : 1439863717
Total Pages : 298 pages
Book Rating : 4.4/5 (398 download)
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.
Author : Earl E Swartzlander
Publisher : World Scientific
ISBN 13 : 9814651583
Total Pages : 398 pages
Book Rating : 4.8/5 (146 download)
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
Author : Norman Ross Scott
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 282 pages
Book Rating : 4.3/5 (91 download)
Download or read book Computer Number Systems and Arithmetic written by Norman Ross Scott and published by Prentice Hall. This book was released on 1985 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt:
