COMPUTER ARITHMETIC - VOLUME I, II & III

Computer Arithmetic (Volumes I-III) collects landmark articles originally published by the IEEE Computer Society Press in 1990. The editor has arranged the articles from fixed point to floating point arithmetic, each explained with a critique to tell the story of the development of modern-day computer design from the founding roots of the design of an arithmetic logic unit (ALU) to its enhancement towards supporting complex computation with the floating point arithmetic. These have made it possible by the advance in Very-large-scale integration (VLSI). 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. The intent of this 3-Volume set is to show progress, evolution, and novelty in the area of computer arithmetic from the design of basic adders, multiplies, divider to floating-point arithmetic. This field has made extraordinary progress since the initial software routines on mainframe computers have evolved into hardware implementations in processors spanning a wide range of performance. Nevertheless, these papers pave the way to the understanding of modern-day processor design where computer arithmetic is supported by floating-point units. As in the original, the book contains many classic papers treating advanced concepts in computer arithmetic, which is suitable as stand-alone textbooks or complementary materials to textbooks on computer arithmetic for graduate students and research professionals interested in the field. Computer Arithmetic Volume I focuses on the basic operations of addition, multiplication and division. Advanced concepts such as logarithmic arithmetic and the calculations of elementary functions are also covered. Computer Arithmetic Volume II presents topics focused on the enhancement on standard CPUs to improve the performance to support special classes of applications, such as error-tolerant arithmetic, digit on-line arithmetic, number systems, and now in this new edition, a topic on the implementation of arithmetic operations, all wrapped with an updated overview and a new introduction for each chapter. Computer Arithmetic Volume III is a compilation of key papers in computer arithmetic on floating-point arithmetic and design. The intent is to show progress, evolution, and novelty in the area of floating-point arithmetic. This field has made extraordinary progress since the initial software routines on mainframe computers have evolved into hardware implementations in processors spanning a wide range of performance. Specifically oriented to the needs of designers and users of both general-purpose computers and special-purpose digital processors, the goal of Volume III is to collect the defining document for floating-point arithmetic and many of the key papers on the implementation of both binary and decimal floating-point arithmetic into a single volume. Although fewer than forty papers are included, their reference lists will direct the interested reader to other excellent work that have not be included here. This volume should also be useful to systems engineers, computer architects, and logic designers. It could also be served as a primary text for a course on floating-point arithmetic, as well as a supplementary text for courses in digital arithmetic and high-speed signal processing.