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computer arithmetic parhami: Computer Arithmetic Behrooz Parhami, Professor in the Department of Electrical and Computer Engineering Behrooz Parhami, 2000 Computer Arithmetic: Algorithms and Hardware Designs 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.--BOOK JACKET. |
computer arithmetic parhami: Algorithms and Design Methods for Digital Computer Arithmetic Behrooz Parhami, 2012 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. |
computer arithmetic parhami: Computer Arithmetic Algorithms Israel Koren, 2018-10-08 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. |
computer arithmetic parhami: Computer Arithmetic Behrooz Parhami, 2010 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. |
computer arithmetic parhami: Computer Architecture Behrooz Parhami, 2005-03-17 This textbook is designed for the first course in Computer Architecture, usually offered at the junior/senior (3rd, 4th year) level in electrical engineering, computer science or computer engineering departments. This course is required of all electrical engineering and computer science/computer engineering majors specializing in the design of computer systems. This text provides a comprehensive introduction to computer architecture, covering topic from design of simple microprocessors to techniques used in the most advanced supercomputers. |
computer arithmetic parhami: Computer Arithmetic Mircea Vlăduţiu, 2012-09-13 The subject of this book is the analysis and design of digital devices that implement computer arithmetic. The book's presentation of high-level detail, descriptions, formalisms and design principles means that it can support many research activities in this field, with an emphasis on bridging the gap between algorithm optimization and hardware implementation. The author provides a unified view linking the domains of digital design and arithmetic algorithms, based on original formalisms and hardware description languages. A feature of the book is the large number of examples and the implementation details provided. While the author does not avoid high-level details, providing for example gate-level designs for all matrix/combinational arithmetic structures. The book is suitable for researchers and students engaged with hardware design in computer science and engineering. A feature of the book is the large number of examples and the implementation details provided. While the author does not avoid high-level details, providing for example gate-level designs for all matrix/combinational arithmetic structures. The book is suitable for researchers and students engaged with hardware design in computer science and engineering. |
computer arithmetic parhami: Computer Architecture: Digital Circuits To Microprocessors Guiherme Arroz, Jose Monteiro, Arlindo Oliveira, 2018-08-23 An introductory text to computer architecture, this comprehensive volume covers the concepts from logic gates to advanced computer architecture. It comes with a full spectrum of exercises and web-downloadable support materials, including assembler and simulator, which can be used in the context of different courses. The authors also make available a hardware description, which can be used in labs and assignments, for hands-on experimentation with an actual, simple processor.This unique compendium is a useful reference for undergraduates, graduates and professionals majoring in computer engineering, circuits and systems, software engineering, biomedical engineering and aerospace engineering.Related Link(s) |
computer arithmetic parhami: Instructor's Manual For Computer Arithmetic Behrooz Parhami, Professor in the Department of Electrical and Computer Engineering Behrooz Parhami, 2000-01-15 This title provides a view of computer arithmetic, covering 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. |
computer arithmetic parhami: Digital Computer Arithmetic Datapath Design Using Verilog HDL James E. Stine, 2012-12-06 The role of arithmetic in datapath design in VLSI design has been increasing in importance over the last several years due to the demand for processors that are smaller, faster, and dissipate less power. Unfortunately, this means that many of these datapaths will be complex both algorithmically and circuit wise. As the complexity of the chips increases, less importance will be placed on understanding how a particular arithmetic datapath design is implemented and more importance will be given to when a product will be placed on the market. This is because many tools that are available today, are automated to help the digital system designer maximize their efficiently. Unfortunately, this may lead to problems when implementing particular datapaths. The design of high-performance architectures is becoming more compli cated because the level of integration that is capable for many of these chips is in the billions. Many engineers rely heavily on software tools to optimize their work, therefore, as designs are getting more complex less understanding is going into a particular implementation because it can be generated automati cally. Although software tools are a highly valuable asset to designer, the value of these tools does not diminish the importance of understanding datapath ele ments. Therefore, a digital system designer should be aware of how algorithms can be implemented for datapath elements. Unfortunately, due to the complex ity of some of these algorithms, it is sometimes difficult to understand how a particular algorithm is implemented without seeing the actual code. |
computer arithmetic parhami: Microprogramming and Computer Architecture Bruce Segee, John Field, 1991 Presents the fundamentals & design of microcoded systems, starting from simple state machines & using a progression of four built & tested circuits: a basic ROM-based state machine; a state machine with an ALU & registers; a simple CPU with an 8-bit data bus & a 16-bit address bus; a bit-slice based CPU that allows interrupts, bus sharing & asynchronous data transfers. All circuits are built using real devices with reference made to real data manuals, giving the text a more practical slant. |
computer arithmetic parhami: Digital Arithmetic Milos D. Ercegovac, Tomás Lang, 2004 The authoritative reference on the theory and design practice of computer arithmetic. |
computer arithmetic parhami: Introduction to Parallel Processing Behrooz Parhami, 2006-04-11 THE CONTEXT OF PARALLEL PROCESSING The field of digital computer architecture has grown explosively in the past two decades. Through a steady stream of experimental research, tool-building efforts, and theoretical studies, the design of an instruction-set architecture, once considered an art, has been transformed into one of the most quantitative branches of computer technology. At the same time, better understanding of various forms of concurrency, from standard pipelining to massive parallelism, and invention of architectural structures to support a reasonably efficient and user-friendly programming model for such systems, has allowed hardware performance to continue its exponential growth. This trend is expected to continue in the near future. This explosive growth, linked with the expectation that performance will continue its exponential rise with each new generation of hardware and that (in stark contrast to software) computer hardware will function correctly as soon as it comes off the assembly line, has its down side. It has led to unprecedented hardware complexity and almost intolerable dev- opment costs. The challenge facing current and future computer designers is to institute simplicity where we now have complexity; to use fundamental theories being developed in this area to gain performance and ease-of-use benefits from simpler circuits; to understand the interplay between technological capabilities and limitations, on the one hand, and design decisions based on user and application requirements on the other. |
computer arithmetic parhami: Chemical Engineering Computation with MATLAB® Yeong Koo Yeo, 2020-12-15 Chemical Engineering Computation with MATLAB®, Second Edition continues to present basic to advanced levels of problem-solving techniques using MATLAB as the computation environment. The Second Edition provides even more examples and problems extracted from core chemical engineering subject areas and all code is updated to MATLAB version 2020. It also includes a new chapter on computational intelligence and: Offers exercises and extensive problem-solving instruction and solutions for various problems Features solutions developed using fundamental principles to construct mathematical models and an equation-oriented approach to generate numerical results Delivers a wealth of examples to demonstrate the implementation of various problem-solving approaches and methodologies for problem formulation, problem solving, analysis, and presentation, as well as visualization and documentation of results Includes an appendix offering an introduction to MATLAB for readers unfamiliar with the program, which will allow them to write their own MATLAB programs and follow the examples in the book Provides aid with advanced problems that are often encountered in graduate research and industrial operations, such as nonlinear regression, parameter estimation in differential systems, two-point boundary value problems and partial differential equations and optimization This essential textbook readies engineering students, researchers, and professionals to be proficient in the use of MATLAB to solve sophisticated real-world problems within the interdisciplinary field of chemical engineering. The text features a solutions manual, lecture slides, and MATLAB program files._ |
computer arithmetic parhami: Asynchronous Circuits Janusz A. Brzozowski, Carl-Johan H. Seger, 2012-12-06 Although asynchronous circuits date back to the early 1950s most of the digital circuits in use today are synchronous because, traditionally, asynchronous circuits have been viewed as difficult to understand and design. In recent years, however, there has been a great surge of interest in asynchronous circuits, largely through the development of new asynchronous design methodologies. This book provides a comprehensive theory of asynchronous circuits, including modelling, analysis, simulation, specification, verification, and an introduction to their design. It is based on courses given to graduate students and will be suitable for computer scientists and engineers involved in the research and development of asynchronous designs. |
computer arithmetic parhami: Embedded Systems Design with FPGAs Peter Athanas, Dionisios Pnevmatikatos, Nicolas Sklavos, 2012-12-05 This book presents the methodologies and for embedded systems design, using field programmable gate array (FPGA) devices, for the most modern applications. Coverage includes state-of-the-art research from academia and industry on a wide range of topics, including applications, advanced electronic design automation (EDA), novel system architectures, embedded processors, arithmetic, and dynamic reconfiguration. |
computer arithmetic parhami: Tradeoffs and Optimization in Analog CMOS Design David Binkley, 2008-09-15 Analog CMOS integrated circuits are in widespread use for communications, entertainment, multimedia, biomedical, and many other applications that interface with the physical world. Although analog CMOS design is greatly complicated by the design choices of drain current, channel width, and channel length present for every MOS device in a circuit, these design choices afford significant opportunities for optimizing circuit performance. This book addresses tradeoffs and optimization of device and circuit performance for selections of the drain current, inversion coefficient, and channel length, where channel width is implicitly considered. The inversion coefficient is used as a technology independent measure of MOS inversion that permits design freely in weak, moderate, and strong inversion. This book details the significant performance tradeoffs available in analog CMOS design and guides the designer towards optimum design by describing: An interpretation of MOS modeling for the analog designer, motivated by the EKV MOS model, using tabulated hand expressions and figures that give performance and tradeoffs for the design choices of drain current, inversion coefficient, and channel length; performance includes effective gate-source bias and drain-source saturation voltages, transconductance efficiency, transconductance distortion, normalized drain-source conductance, capacitances, gain and bandwidth measures, thermal and flicker noise, mismatch, and gate and drain leakage current Measured data that validates the inclusion of important small-geometry effects like velocity saturation, vertical-field mobility reduction, drain-induced barrier lowering, and inversion-level increases in gate-referred, flicker noise voltage In-depth treatment of moderate inversion, which offers low bias compliance voltages, high transconductance efficiency, and good immunity to velocity saturation effects for circuits designed in modern, low-voltage processes Fabricated design examples that include operational transconductance amplifiers optimized for various tradeoffs in DC and AC performance, and micropower, low-noise preamplifiers optimized for minimum thermal and flicker noise A design spreadsheet, available at the book web site, that facilitates rapid, optimum design of MOS devices and circuits Tradeoffs and Optimization in Analog CMOS Design is the first book dedicated to this important topic. It will help practicing analog circuit designers and advanced students of electrical engineering build design intuition, rapidly optimize circuit performance during initial design, and minimize trial-and-error circuit simulations. |
computer arithmetic parhami: Information, Physics, and Computation Marc Mézard, Andrea Montanari, 2009-01-22 A very active field of research is emerging at the frontier of statistical physics, theoretical computer science/discrete mathematics, and coding/information theory. This book sets up a common language and pool of concepts, accessible to students and researchers from each of these fields. |
computer arithmetic parhami: Computer Arithmetic Earl E Swartzlander, 2015-03-17 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 |
computer arithmetic parhami: Synthesis of Arithmetic Circuits Jean-Pierre Deschamps, Gery J.A. Bioul, Gustavo D. Sutter, 2006-03-24 A new approach to the study of arithmetic circuits In Synthesis of Arithmetic Circuits: FPGA, ASIC and Embedded Systems, the authors take a novel approach of presenting methods and examples for the synthesis of arithmetic circuits that better reflects the needs of today's computer system designers and engineers. Unlike other publications that limit discussion to arithmetic units for general-purpose computers, this text features a practical focus on embedded systems. Following an introductory chapter, the publication is divided into two parts. The first part, Mathematical Aspects and Algorithms, includes mathematical background, number representation, addition and subtraction, multiplication, division, other arithmetic operations, and operations in finite fields. The second part, Synthesis of Arithmetic Circuits, includes hardware platforms, general principles of synthesis, adders and subtractors, multipliers, dividers, and other arithmetic primitives. In addition, the publication distinguishes itself with: * A separate treatment of algorithms and circuits-a more useful presentation for both software and hardware implementations * Complete executable and synthesizable VHDL models available on the book's companion Web site, allowing readers to generate synthesizable descriptions * Proposed FPGA implementation examples, namely synthesizable low-level VHDL models for the Spartan II and Virtex families * Two chapters dedicated to finite field operations This publication is a must-have resource for students in computer science and embedded system designers, engineers, and researchers in the field of hardware and software computer system design and development. An Instructor Support FTP site is available from the Wiley editorial department. |
computer arithmetic parhami: Neural Networks for Pattern Recognition Christopher M. Bishop, 1995-11-23 Statistical pattern recognition; Probability density estimation; Single-layer networks; The multi-layer perceptron; Radial basis functions; Error functions; Parameter optimization algorithms; Pre-processing and feature extraction; Learning and generalization; Bayesian techniques; Appendix; References; Index. |
computer arithmetic parhami: Digital Computer Arithmetic Joseph Cavanagh, 1984 |
computer arithmetic parhami: Computer Science and Applications , 2018 |
computer arithmetic parhami: Accuracy and Stability of Numerical Algorithms Nicholas J. Higham, 2002-01-01 Accuracy and Stability of Numerical Algorithms gives a thorough, up-to-date treatment of the behavior of numerical algorithms in finite precision arithmetic. It combines algorithmic derivations, perturbation theory, and rounding error analysis, all enlivened by historical perspective and informative quotations. This second edition expands and updates the coverage of the first edition (1996) and includes numerous improvements to the original material. Two new chapters treat symmetric indefinite systems and skew-symmetric systems, and nonlinear systems and Newton's method. Twelve new sections include coverage of additional error bounds for Gaussian elimination, rank revealing LU factorizations, weighted and constrained least squares problems, and the fused multiply-add operation found on some modern computer architectures. |
computer arithmetic parhami: Non-diophantine Arithmetics In Mathematics, Physics And Psychology Mark Burgin, Marek Czachor, 2020-11-04 For a long time, all thought there was only one geometry — Euclidean geometry. Nevertheless, in the 19th century, many non-Euclidean geometries were discovered. It took almost two millennia to do this. This was the major mathematical discovery and advancement of the 19th century, which changed understanding of mathematics and the work of mathematicians providing innovative insights and tools for mathematical research and applications of mathematics.A similar event happened in arithmetic in the 20th century. Even longer than with geometry, all thought there was only one conventional arithmetic of natural numbers — the Diophantine arithmetic, in which 2+2=4 and 1+1=2. It is natural to call the conventional arithmetic by the name Diophantine arithmetic due to the important contributions to arithmetic by Diophantus. Nevertheless, in the 20th century, many non-Diophantine arithmetics were discovered, in some of which 2+2=5 or 1+1=3. It took more than two millennia to do this. This discovery has even more implications than the discovery of new geometries because all people use arithmetic.This book provides a detailed exposition of the theory of non-Diophantine arithmetics and its various applications. Reading this book, the reader will see that on the one hand, non-Diophantine arithmetics continue the ancient tradition of operating with numbers while on the other hand, they introduce extremely original and innovative ideas. |
computer arithmetic parhami: Graphical Models Steffen L. Lauritzen, 1996-05-02 The idea of modelling systems using graph theory has its origin in several scientific areas: in statistical physics (the study of large particle systems), in genetics (studying inheritable properties of natural species), and in interactions in contingency tables. The use of graphical models in statistics has increased considerably over recent years and the theory has been greatly developed and extended. This book provides the first comprehensive and authoritative account of the theory of graphical models and is written by a leading expert in the field. It contains the fundamental graph theory required and a thorough study of Markov properties associated with various type of graphs. The statistical theory of log-linear and graphical models for contingency tables, covariance selection models, and graphical models with mixed discrete-continous variables in developed detail. Special topics, such as the application of graphical models to probabilistic expert systems, are described briefly, and appendices give details of the multivarate normal distribution and of the theory of regular exponential families. The author has recently been awarded the RSS Guy Medal in Silver 1996 for his innovative contributions to statistical theory and practice, and especially for his work on graphical models. |
computer arithmetic parhami: Basic Computer Architecture Smruti R. Sarangi, 2021-09 This book is a comprehensive text on basic, undergraduate-level computer architecture. It starts from theoretical preliminaries and simple Boolean algebra. After a quick discussion on logic gates, it describes three classes of assembly languages: a custom RISC ISA called SimpleRisc, ARM, and x86. In the next part, a processor is designed for the SimpleRisc ISA from scratch. This includes the combinational units, ALUs, processor, basic 5-stage pipeline, and a microcode-based design. The last part of the book discusses caches, virtual memory, parallel programming, multiprocessors, storage devices and modern I/O systems. The book's website has links to slides for each chapter and video lectures hosted on YouTube. |
computer arithmetic parhami: Puzzle-based Learning Zbigniew Michalewicz, Matthew Michalewicz, 2008 What is missing in most curricula - from elementary school all the way through to university education - is coursework focused on the development of problem-solving skills. Most students never learn how to think about solving problems. Besides being a lot of fun, a puzzle-based learning approach also does a remarkable job of convincing students that (a) science is useful and interesting, (b) the basic courses they take are relevant, (c) mathematics is not that scary (no need to hate it!), and (d) it is worthwhile to stay in school, get a degree, and move into the real world which is loaded with interesting problems (problems perceived as real-world puzzles). |
computer arithmetic parhami: Modern Electric Vehicle Technology C. C. Chan, K. T. Chau, 2001 A comprehensive and up-to-date reference book on modern electric vehicle technology, which covers the engineering philosophy, state-of-the-art technology, and commercialisation of electrical vehicles. |
computer arithmetic parhami: Residue Number System Arithmetic , 1986 |
computer arithmetic parhami: Error-correcting Codes and Finite Fields Oliver Pretzel, 1992 Starting with the elementary ideas of parity check codes, this work takes the reader via BCH and Reed-Solomon codes all the way to the geometric Goppa codes. The necessary mathematics is developed in parallel with the applications. |
computer arithmetic parhami: An Introduction to Quantum Computing Phillip Kaye, Raymond Laflamme, Michele Mosca, 2006-11-17 This concise, accessible text provides a thorough introduction to quantum computing - an exciting emergent field at the interface of the computer, engineering, mathematical and physical sciences. Aimed at advanced undergraduate and beginning graduate students in these disciplines, the text is technically detailed and is clearly illustrated throughout with diagrams and exercises. Some prior knowledge of linear algebra is assumed, including vector spaces and inner products. However, prior familiarity with topics such as quantum mechanics and computational complexity is not required. |
computer arithmetic parhami: Information Security Agnes Hui Chan, Virgil Gligor, 2002-09-18 As distinct from other security and cryptography conferences, the Information Security Conference (ISC) 2002 brought together individuals involved in a wide variety of different disciplines of information security to foster the exchange of ideas. The conference is an outgrowth of the Information Security Workshop, first held in Ishikawa, Japan 1997. ISC 2002 was held in Sao Paulo, Brazil, on September 30– October 2, 2002. The Program Committee considered 81 submissions of which 38 papers were accepted for presentation. These proceedings contain revised versions of the accepted papers. The papers provide a representative sample of both the variety and the truly international scope of information security research conducted currently. The topics addressed range from e-commerce protocols to access control and trust management, and to cryptography and cryptographic algorithms. Many people deserve our gratitude for their contribution to the success of the conference. We would like to thank the General Chair, Routo Terada, for overseeing the local arrangements, including registration and maintaining the conference website, and for the smooth running of the conference. We are grateful to Robbie Ye for his expert help in processing the electronic submissions, reviews and acceptance notifications. Robbie’s enthusiasm and energy greatly simplified the Program Committee’s task of conducting the on-line evaluation of the submitted papers under tight time constraints. |
computer arithmetic parhami: Residue Number Systems P.V. Ananda Mohan, 2012-12-06 There has been continuing interest in the improvement of the speed of Digital Signal processing. The use of Residue Number Systems for the design of DSP systems has been extensively researched in literature. Szabo and Tanaka have popularized this approach through their book published in 1967. Subsequently, Jenkins and Leon have rekindled the interest of researchers in this area in 1978, from which time there have been several efforts to use RNS in practical system implementation. An IEEE Press book has been published in 1986 which was a collection of Papers. It is very interesting to note that in the recent past since 1988, the research activity has received a new thrust with emphasis on VLSI design using non ROM based designs as well as ROM based designs as evidenced by the increased publications in this area. The main advantage in using RNS is that several small word-length Processors are used to perform operations such as addition, multiplication and accumulation, subtraction, thus needing less instruction execution time than that needed in conventional 16 bitl32 bit DSPs. However, the disadvantages of RNS have b. een the difficulty of detection of overflow, sign detection, comparison of two numbers, scaling, and division by arbitrary number, RNS to Binary conversion and Binary to RNS conversion. These operations, unfortunately, are computationally intensive and are time consuming. |
computer arithmetic parhami: Linear Systems and Signals Bhagwandas Pannalal Lathi, 2009-03-23 Incorporating new problems and examples, the second edition of Linear Systems and Signals features MATLAB® material in each chapter and at the back of the book. It gives clear descriptions of linear systems and uses mathematics not only to prove axiomatic theory, but also to enhance physical and intuitive understanding. |
computer arithmetic parhami: Introduction to Arithmetic for Digital Systems Designers Shlomo Waser, Michael J. Flynn, 1982 |
computer arithmetic parhami: The Principles of Computer Hardware Alan Clements, 2000-01 Principles of Computer Hardware, now in its third edition, provides a first course in computer architecture or computer organization for undergraduates. The book covers the core topics of such a course, including Boolean algebra and logic design; number bases and binary arithmetic; the CPU;assembly language; memory systems; and input/output methods and devices. It then goes on to cover the related topics of computer peripherals such as printers; the hardware aspects of the operating system; and data communications, and hence provides a broader overview of the subject. Its readable,tutorial-based approach makes it an accessible introduction to the subject. The book has extensive in-depth coverage of two microprocessors, one of which (the 68000) is widely used in education. All chapters in the new edition have been updated. Major updates include: * powerful softwaresimulations of digital systems to accompany the chapters on digital design; * a tutorial-based introduction to assembly language, including many examples; * a completely rewritten chapter on RISC, which now covers the ARM computer. |
computer arithmetic parhami: Finite Precision Number Systems and Arithmetic Peter Kornerup, David W. Matula, 2010-09-30 This comprehensive reference volume, suitable for graduate teaching, includes problems, exercises, solutions and an extensive bibliography. |
computer arithmetic parhami: Reluctance Synchronous Machines and Drives Ion Boldea, 2023 |
computer arithmetic parhami: Digital Integrated Circuit Design Kenneth William Martin, 2000 The impact of digital integrated circuits on our modern society has been pervasive. They are the enabling technology of the current computer and information-technology revolution. This is largely true because of the immense amount of signal and computer processing that can be realized in a single integrated circuit; modern IC's may contain millions of logic gates. This text book is intended to take a reader having only a minimal background and knowledge in electronics to the point where they can design state-of-the-art digital integrated circuits. Designing high-performance digital integrated circuits requires expertise in many different areas. These include semiconductor physics, integrated circuit processing, transistor-level design, logic-level design, system-level design, testing, etc. Aspects of these topics are covered throughout this text, although the emphasis is on transistor-level design of digital integrated circuits and systems. This is in contrast to the perspective in many other texts, which takes a system-level or VLSI approach where transistor-level details are minimized. It is the author's belief that before system-level considerations can be properly evaluated, an in-depth tranisistor-level understanding must first be obtained. Important system-level considerations such as timing, pipe-lining, clock distribution, and system building blocks are covered in detail, but the emphasis on transistors first. Throughout the book, physical and intuitive explanations are given, and although mathematical quantitative analysis of many circuits have necessarily been presented, Martin has attempted not to miss seeing the forest because of the trees. This book presents the critical underlying concepts without becoming entangled in tedious and over-complicated circuit analyses. It is intended for senior/graduate level students in electrical and computer engineering. This course assumes the Sedra/Smith Microelectronic Circuits course as a prerequisite. |
computer arithmetic parhami: Computer Arithmetic Kai Hwang, 1979 |
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