UNIVERSITY OF MASSACHUSETTS
Department of Electrical and Computer Engineering
Digital Computer Arithmetic - ECE666

Description: A detailed study of the theory and design of high-performance implementations
of arithmetic in computers.

• The topics to be covered include:

  • 1. Introduction: Number systems and basic arithmetic operations.
  • 2. Unconventional fixed-point number systems.
  • 3. Sequential algorithms for multiplication and division.
  • 4. Floating-point arithmetic.
  • 5. Algorithms for fast addition.
  • 6. High-speed multiplication.
  • 7. Fast division and division through multiplication.
  • 8. Efficient algorithms for evaluation of elementary functions.
  • 9. Logarithmic number systems.
  • 10. The residue number system; error correction and detection in
    arithmetic operations, .

• Prerequisites: Undergraduate courses in Digital Design and Computer Organization.
• Recommended book: Computer Arithmetic Algorithms,   I. Koren, 2nd Edition,  
  A. K. Peters (part of CRC Press), 2002.
  
• Recommended reading:   Digital Arithmetic,   by M. Ercegovac and T. Lang,
  Morgan Kaufman, 2003 (ISBN 1558607986).
  Computer Arithmetic: Algorithms and Hardware Design,      by B. Parhami,
  Oxford University Press, 2000.
• Course web page: All details regarding the course
  will be available at:   www.ecs.umass.edu/ece/koren/ece666.
• Grading:
  • Midterm 1 - 25%
  • Midterm 2 - 25%
  • OWL quizzes - 15%
  • Final project or take-home Final Exam - 35%