Computer arithmetic : algorithms and hardware designs

Ideal for graduate and senior undergraduate level courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs provides a balanced, comprehensive treatment 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. 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, and fault-tolerant arithmetic--and also feature brief case studies. An indispensable resource for instruction, professional development, and research in digital computer arithmetic, 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. Features: · Divided into 28 lecture-size chapters · Emphasizes both the underlying theories of computer arithmetic and actual hardware designs · Carefully links computer arithmetic to other subfields of computer engineering · Includes over 450 end-of-chapter problems ranging in complexity from simple exercises to mini-projects · Incorporates many examples of practical designs · Uses consistent standardized notation throughout · Instructor's manual includes solutions to text problems, additional exercises, test questions, and enlarged versions of figures and charts Ideal for graduate and senior undergraduate level courses in computer arithmetic and advanced digital design, __Computer Arithmetic: Algorithms and Hardware Designs__ provides a balanced, comprehensive treatment 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. 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, and fault-tolerant arithmetic--and also feature brief case studies. An indispensable resource for instruction, professional development, and research in digital computer arithmetic, __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. **Features:** · Divided into 28 lecture-size chapters · Emphasizes both the underlying theories of computer arithmetic and actual hardware designs · Carefully links computer arithmetic to other subfields of computer engineering · Includes over 450 end-of-chapter problems ranging in complexity from simple exercises to mini-projects · Incorporates many examples of practical designs · Uses consistent standardized notation throughout · Instructor's manual includes solutions to text problems, additional exercises, test questions, and enlarged versions of figures and charts Ideal For Graduate And Senior Undergraduate Level Courses In Computer Arithmetic And Advanced Digital Design, Computer Arithmetic: Algorithms And Hardware Designs Provides A Balanced, Comprehensive Treatment 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.--book Jacket. 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.--jacket. Pt. I. Number Representation. 1. Numbers And Arithmetic. 2. Representing Signed Numbers. 3. Redundant Number Systems. 4. Residue Number Systems -- Pt. Ii. Addition/subtraction. 5. Basic Addition And Counting. 6. Carry-lookahead Adders. 7. Variations In Fast Adders. 8. Multioperand Addition -- Pt. Iii. Multiplication. 9. Basic Multiplication Schemes. 10. High-radix Multipliers. 11. Tree And Array Multipliers. 12. Variations In Multipliers -- Pt. Iv. Division. 13. Basic Division Schemes. 14. High-radix Dividers. 15. Variations In Dividers. 16. Division By Convergence -- Pt. V. Real Arithmetic. 17. Floating-point Representations. 18. Floating-point Operations. 19. Errors And Error Control. Behrooz Parhami. Includes Bibliographical References And Index. Publisher description: "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 has been transformed into one of the most quantitative branches of computer technology. However, this explosive growth has led to unprecedented harware complexity and almost intolerable development costs. The challenge faxing 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/limitations and sound architectural decisions. Computer arithmetic plays a key role in the computer designers' quest for user-friendliness, compactness, simplicity, high performance, low cost, and low power. Parhami's Computer Architecture emphasizes both the underlying theory and actual hardware designs. and links computer arithmetic to other subfields of computing "Ideal for graduate and senior undergraduate level courses in computer arithmetic and advanced digital design, Computer Arithmetic: Algorithms and Hardware Designs provides a balanced, comprehensive treatment 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."--BOOK JACKET. "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.