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Digital arithmetic plays an important role in the design of general-purpose digital processors and of embedded systems for signal processing, graphics, and communications. In spite of a mature body of knowledge in digital arithmetic, each new generation of processors or digital systems creates new arithmetic design problems. Designers, researchers, and graduate students will find solid solutions to these problems in this comprehensive, state-of-the-art exposition of digital arithmetic.Ercegovac and Lang, two of the field's leading experts, deliver a unified treatment of digital arithmetic, tying underlying theory to design practice in a technology-independent manner. They consistently use an...
This manual covers more topics related to the field: advanced implementation of algorithmic systems and advanced material on VHDL design. A real emphasis is placed on the hierarchical approach to the design of digital systems and is followed consistently throughout the text.
This modern treatment of digital system specification, analysis, and design covers all topics from gates and flip-flops to complex hardware and system software algorithms. An upper-level undergraduate/graduate text, it uses two complementary approaches--system model and algorithmic model--in dealing with structured analysis and design, and separates specification from implementation to allow for the ready application of concepts to practical system design. Extensive illustrations and 500 exercises.
Introduction to Digital Systems introduces digital electronics from first principles and goes on to cover all the main areas of knowledge and expertise needed by students up to first year degree level, as well as technicians and other professionals. Unlike most texts, Introduction to Digital Systems also covers the practicalities of designing and building circuits, including fault-finding and use of test equipment. Students will find the text ideally matched for courses covering electronics, systems and control, and electronic servicing. Whether you are looking for a complete self-study course in digital electronics, a concise reference text to dip into or a course text that is readable and straightforward, John Crisp has provided the solution. - A concise, readable introductory text ideal for self-study by professionals or students on courses with limited contact time - Covers the practical side from a technician/professional viewpoint - Content carefully matched to a range of BTEC and C&G syllabuses
Division and Square Root: Digit-Recurrence Algorithms and Implementations is intended for researchers into division and square root and related operations, as well as for designers of the corresponding arithmetic units, either for general-purpose processors or for special purpose components of systems for applications such as signal and image processing. The book can also be used in graduate courses on arithmetic algorithms and processors. As the capabilities of IC technologies improve, hardware implementation of all basic arithmetic operations is becoming common in the design of processors. While the design of fast and efficient adders and multipliers is well understood, division and square...
Modern Computer Arithmetic focuses on arbitrary-precision algorithms for efficiently performing arithmetic operations such as addition, multiplication and division, and their connections to topics such as modular arithmetic, greatest common divisors, the Fast Fourier Transform (FFT), and the computation of elementary and special functions. Brent and Zimmermann present algorithms that are ready to implement in your favorite language, while keeping a high-level description and avoiding too low-level or machine-dependent details. The book is intended for anyone interested in the design and implementation of efficient high-precision algorithms for computer arithmetic, and more generally efficient multiple-precision numerical algorithms. It may also be used in a graduate course in mathematics or computer science, for which exercises are included. These vary considerably in difficulty, from easy to small research projects, and expand on topics discussed in the text. Solutions are available from the authors.
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.
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 ...
Market_Desc: Electrical and Computer Engineers, and Students and Professors. Special Features: " Contains a web site with material on these and other related topics." Introduces analysis and design methods that are hierarchical and structured. About The Book: This book provides a solid foundation in the elements of basic digital electronics and switching theory that are used in most practical digital designs today, and builds on that theory of discussions of real world digital components, design methodologies, and tools.
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.