The Number System
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The Number System
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Author : H. A. Thurston
language : en
Publisher: Courier Corporation
Release Date : 2012-10-23
The Number System written by H. A. Thurston and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-23 with Mathematics categories.
This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.
The Number System And Common And Decimal Fractions
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Author : Britannica Educational Publishing
language : en
Publisher: Britannica Educational Publishing
Release Date : 2015-01-01
The Number System And Common And Decimal Fractions written by Britannica Educational Publishing and has been published by Britannica Educational Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-01 with Juvenile Nonfiction categories.
This engrossing guide to the number system and fractions combines the history of math with its practical applications, making the story of math engaging for all readers. Both the number system and computations with fractions constitute important elements of the Common Core mathematical standards for grades 68, and in this text, theory and practice combine, giving students an excellent approach to both fields. Sample problems are couched in the stories of the mathematicians and great societies that developed these areas of studyproving riveting for even those who typically shy away from math.
Multiple Base Number System
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Author : Vassil Dimitrov
language : en
Publisher: CRC Press
Release Date : 2017-12-19
Multiple Base Number System written by Vassil Dimitrov and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Computers categories.
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.
Residue Number Systems
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Author : Amos R. Omondi
language : en
Publisher: Imperial College Press
Release Date : 2007
Residue Number Systems written by Amos R. Omondi and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Technology & Engineering categories.
Residue number systems (RNSs) and arithmetic are useful for several reasons. First, a great deal of computing now takes place in embedded processors, such as those found in mobile devices, for which high speed and low-power consumption are critical; the absence of carry propagation facilitates the realization of high-speed, low-power arithmetic. Second, computer chips are now getting to be so dense that full testing will no longer be possible; so fault tolerance and the general area of computational integrity have become more important. RNSs are extremely good for applications such as digital signal processing, communications engineering, computer security (cryptography), image processing, speech processing, and transforms, all of which are extremely important in computing today. This book provides an up-to-date account of RNSs and arithmetic. It covers the underlying mathematical concepts of RNSs; the conversion between conventional number systems and RNSs; the implementation of arithmetic operations; various related applications are also introduced. In addition, numerous detailed examples and analysis of different implementations are provided. Sample Chapter(s). Chapter 1: Introduction (301 KB). Contents: Introduction; Mathematical Fundamentals; Forward Conversion; Addition; Multiplication; Comparison, Overflow-Detection, Sign-Determination, Scaling, and Division; Reverse Conversion; Applications. Readership: Graduate students, academics and researchers in computer engineering and electrical & electronic engineering.
Approximate Number System And Mathematics
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Author : Jingguang Li
language : en
Publisher: Frontiers Media SA
Release Date : 2019-11-25
Approximate Number System And Mathematics written by Jingguang Li and has been published by Frontiers Media SA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-25 with categories.
Humans process quantity information without the aid of language or symbols to guide a variety of everyday life decisions. The cognitive system that supports this intuitive skill is often referred to as the approximate number system (ANS). It has been argued that the ANS serves as the foundation of the formal symbolic number system—mathematics. Abundant empirical evidence is supportive of this view: acuity of the ANS is positively correlated with symbolic math performance, training of the ANS may cause improvements in symbolic math performance, and the ANS and symbolic number processing may share a common neural underpinning. However, recently several theories and empirical data cast doubt on the role of the ANS in symbolic math processing. This e-book aims to advance our understanding of the underlying mechanisms of the overlap between the ANS and mathematics.
Finite Precision Number Systems And Arithmetic
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Author : Peter Kornerup
language : en
Publisher: Cambridge University Press
Release Date : 2010-09-30
Finite Precision Number Systems And Arithmetic written by Peter Kornerup and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-09-30 with Mathematics categories.
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.
Number Systems
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Author : Sergei Ovchinnikov
language : en
Publisher: American Mathematical Soc.
Release Date : 2015-02-26
Number Systems written by Sergei Ovchinnikov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-02-26 with Mathematics categories.
This book offers a rigorous and coherent introduction to the five basic number systems of mathematics, namely natural numbers, integers, rational numbers, real numbers, and complex numbers. It is a subject that many mathematicians believe should be learned by any student of mathematics including future teachers. The book starts with the development of Peano arithmetic in the first chapter which includes mathematical induction and elements of recursion theory. It proceeds to an examination of integers that also covers rings and ordered integral domains. The presentation of rational numbers includes material on ordered fields and convergence of sequences in these fields. Cauchy and Dedekind completeness properties of the field of real numbers are established, together with some properties of real continuous functions. An elementary proof of the Fundamental Theorem of Algebra is the highest point of the chapter on complex numbers. The great merit of the book lies in its extensive list of exercises following each chapter. These exercises are designed to assist the instructor and to enhance the learning experience of the students.
Computer System Architecture
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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-03-23
Computer System Architecture written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-03-23 with Computers categories.
EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.
Demystifying Number System Practical Concepts And Their Applications For The Cat And Other Mba Exams
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Author :
language : en
Publisher: Pearson Education India
Release Date :
Demystifying Number System Practical Concepts And Their Applications For The Cat And Other Mba Exams written by and has been published by Pearson Education India this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Numeral Systems Of Nigerian Languages
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Author : Ndimele, Ozo-mekuri
language : en
Publisher: M & J Grand Orbit Communications
Release Date : 2016-04-30
The Numeral Systems Of Nigerian Languages written by Ndimele, Ozo-mekuri and has been published by M & J Grand Orbit Communications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-30 with Language Arts & Disciplines categories.
The papers in this collection present the numeral systems of more than twenty Nigerian languages. The papers mainly emanate from a workshop on the numeral systems of Nigerian languages organised by the Linguistic Association of Nigeria during its 23rd Annual Conference which was held at the University of Port Harcourt, Nigeria. The workshop arose from awareness created by Dr. Eugene S.L. Chan on the need for Nigerian linguists to document this severely endangered but very important aspect of natural languages. The quantum of mathematical computations - addition, multiplication, subtraction, or a combination of two or all of these - involved in the numeral systems of Nigerian languages is remarkable. The papers reveal that a variety of numeral systems do exist, such as: binary, decimal, incomplete decimal, duodecimal, quinary, quaternary, ternary, mixed, body-part tally systems, and much more. The book is a resource about how different languages manipulate their numeral systems.