Table of Contents Description 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.
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Policy on academic integrity: Please read very carefully Grade stats: Range, mean, etc. In case of multiple students having the same first choice, I will assign the topic to the student with an earlier selection. Please send me your top three choices now, if you want to get started on your research.
See the links under Course Calendar. For each topic, one or more initial references are specified to help define the topic and to get you started on your work. Once you have studied the topics, please e-mail me your top 3 choices in order of preferences and I will try to assign one of those topics to you. I will try to post the videos for each week by the weekend preceding it.
This coming weekend, HW1 will be posted. I am working on finalizing the list of available research topics by the coming weekend as well. About your instructor: I have been at UCSB since almost 32 years and, before that, taught at other institutions for 15 years.
I am looking forward to celebrating my 50th year as a professor in March ! On coronavirus and COVID We are all experiencing enormous difficulties, as we adjust to social-distancing and other restrictions and worry about our own health and the health of our loved ones. I am working hard to master the new style of instruction, but there will be rough edges at the outset. Meanwhile, I will try to be as flexible as possible to accommodate any special needs. Enrollment: Course enrollment stands at 13 as of today.
First lecture: Please watch this minute video containing the first lecture. The remaining lectures: I will record the remaining lectures as YouTube videos, so there will be no live questioning or discussion.
I will accept your questions via e-mail for quick questions needing a brief answer or during my office hours for lengthier ones. This is one of the compromises I have had to make in order to quickly adjust to the new mode of instruction. Links to lecture videos will be provided under Course Calendar.
Submissions: You will submit solutions to homework assignments and various research reports as PDF attachments to e-mails. As of today, class enrollment stands at Information on the spring and earlier offerings of the course is available under the "History" section at the end of this page.
Throughout the current quarter, this "Course Announcements" section will alert you to significant additions or changes to this Web page. Please visit regularly. Course Calendar Course lectures, homework assignments, and research milestones have been scheduled as follows.
This schedule will be strictly observed. Please review the first two chapters in the textbook before the first class, if possible. These chapters contain material that you should already know. Students are responsible for all sections and topics in the textbook and class handouts that are not explicitly excluded in the study guides that follow the sample exams, even if the material was not covered in class lectures.
Sample Midterm Exam minutes Problem 1 [15 points] Defining concepts and terms. Problem 3 [20 points] Basic design concepts. Draw diagrams showing each of the following. No explanation is necessary; the diagrams should be self-explanatory. Problem 4 [15 points] Carry-skip addition. Show that the optimal block width b in a fixed-block carry-skip adder is proportional to the square root of the word width k. Briefly discuss why carry-skip adders are of interest at all, given that faster logarithmic-time adders are available.
Explain the process described by this table. In the hardware implementation implied by the table, what component types are used and how many of each? Be as precise as possible in specifying the components used. If all optional problems are answered, the first 5 will be graded.
Problem 1 [15 points] a. The standard 2-way carry operator has two pairs of inputs and a pair of outputs. Present a suitable generalization to an h-way operator with h pairs of inputs. Name and justify one, and only one, advantage of each of the following dividers over the other two: high-radix, array, convergence. Explain why square-rooting cannot be viewed as a special case of division, in the same way that squaring is a special case of multiplication. Problem 2 [10 points] Problem 5.
Problem 3 [15 points] Problem 7. Problem 4 [15 points] Problem Problem 5 [15 points] Problem Problem 6 [15 points] Problem Problem 7 [15 points] Problem Problem 8 [15 points] Problem Midterm Exam Study Guide The following textbook sections are excluded from the midterm exam: 3.
A list of research topics is provided below "TBD" designates topics that are not available for the current quarter ; however, students should feel free to propose their own topics for approval.
A publishable report earns an "A" for the course, regardless of homework and midterm grades. See the course calendar for research milestones and due dates. Consult Research Paper Guidlines for formatting tips. Vergos and C. Jaberipur and B.
Computer Arithmetic, June , to appear. Yang B. Xiao, X. Xia, and H. Signal Processing, Vol. Fit-Florea, L. Li, M. Thornton, and D. Computers, Vol. Cordes, C. Gallistel, R. Gelman, and P. Latham, P. Nieder and E. Piazza and S. Gazzaniga, et al.
Signals, Systems, and Computers, November , pp. Engineering and Technology, Vol. De and B. Hong, R. Modugu, and M. Petra, D. De Caro, V. Garofalo, E. Napoli, and A. Circuits and Sustems I, Vol. Walters, M. Schulte, and M. SPIE Conf. Wires, M. Schulte, L. Marquette, and P. Signals Systems and Computers, , pp.
Signals, Systems, and Computers, , pp. Hakkennes and S. Colon-Bonet and P. Jou, S. Kuang, and R. Circuits and Systems II, Vol.
Preface The context of computer arithmetic Advances in computer architecture over the past two decades have allowed the performance of digital computer hardware to continue its exponential growth, despite increasing technological difficulty in speed improvement at the circuit level. This phenomenal rate of growth, which is expected to continue in the near future, would not have been possible without theoretical insights, experimental research, and tool-building efforts that have helped transform computer architecture from an art into one of the most quantitative branches of computer science and engineering. Better understanding of the various forms of concurrency and the development of a reasonably efficient and user-friendly programming model have been key enablers of this success story. The down side of exponentially rising processor performance is an unprecedented increase in hardware and software complexity. The trend toward greater complexity is not only at odds with testability and certifiability but also hampers adaptability, performance tuning, and evaluation of the various tradeoffs, all of which contribute to soaring development costs. A key challenge facing current and future computer designers is to reverse this trend by removing layer after layer of complexity, opting instead for clean, robust, and easily certifiable designs; to devise novel methods for gaining performance and ease-of-use benefits from simpler circuits that can be readily adapted to application requirements.
Professionally, he serves on journal editorial boards and conference program committees and is also active in technical consulting. He has research interests in computer arithmetic, parallel processing, and dependable computing. In his previous position with Sharif formerly Arya-Mehr University of Technology in Tehran, Iran , he was also involved in educational planning, curriculum development, standardization efforts, technology transfer, and various editorial responsibilities, including a five-year term as Editor of Computer Report, a Persian-language computing periodical. Among his publications are three textbooks on parallel processing Plenum, , computer arithmetic Oxford, ; 2nd ed. Parallel and Distributed Systems , and International J. Parallel, Emergent and Distributed Systems
Policy on academic integrity: Please read very carefully Grade stats: Range, mean, etc. In case of multiple students having the same first choice, I will assign the topic to the student with an earlier selection. Please send me your top three choices now, if you want to get started on your research. See the links under Course Calendar. For each topic, one or more initial references are specified to help define the topic and to get you started on your work. Once you have studied the topics, please e-mail me your top 3 choices in order of preferences and I will try to assign one of those topics to you. I will try to post the videos for each week by the weekend preceding it.