let7-Division I

Computer Arithmetic: Algorithms and Hardware Designs

Info icon This preview shows pages 1–6. Sign up to view the full content.

View Full Document Right Arrow Icon
CSE 246: Computer Arithmetic Algorithms and Hardware Design Instructor: Prof. Chung-Kuan Cheng Fall 2006 Lecture 7 Division
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
CSE 246 2 Topics: Division Restoring Division Nonrestoring Division High Radix Division
Image of page 2
CSE 246 3 Division – Iteration effort Pencil and paper method: ( A=Q × B+2 -n R and R<B ) 1 bit partial quotient per iteration, n iterations A =0.111 0, B =0.010; Q = A / B. Q i : Partial Quotient R i : Partial Remainder R i+1 = R i – B × Q i Q = 0.1110 + 1 0 0 1 1 0 1 0 R 0 = A 1 0 1 0 1 1 0 R 2 1 0 1 0 1 0 0 R 3 0 0 0 1 0 0 R 4 1 0 1 0 1 1 0 0.1 1 0 0 0 R 1 Q 1 = 0.1 Q 2 = 0.01 Q 3 = 0.001 Q 4 = 0.0000
Image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
CSE 246 4 Division – Memory effort Lookup table is the simplest way to obtain multiple partial quotient bits in each iteration. SRT method: a lookup tables stores m -bit partial quotients decided by m bits of partial remainder and m bits of divisor. Table size: 2 2m × m STR method is limited by memory wall.
Image of page 4
CSE 246 5 Division – Solution space Iteration Effort Memory Effort Arithmetic Effort Memory Wall Pencil-and-paper SRT Prescaling Taylor Expansion Low area Series Expansion Low latency Our target
Image of page 5

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 6
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern