let9-Floating Point Arithmetic

Computer Arithmetic: Algorithms and Hardware Designs

Info icon This preview shows pages 1–7. 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 9: Floating Point Numbers
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 Motivation Maximal information with given bit  numbers. Arithmetic with proper precision. Fairness of rounding. Features at the expenses of the complexity  of the operations.
Image of page 2
CSE 246 3 Topics: Floating Point Numbers (IEEE P754) Standard Operations Exceptional Situations Rounding Modes Numerical Computing with IEEE Floating Point  Arithmetic, Michael L. Overton, SIAM
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 Standard 2 32    Typically Goal: Dynamic Range: largest #/ smallest # If too large, holes between #’s
Image of page 4
CSE 246 5 Standard  ulp ( unit in the last place ) Difference between two consecutive values of the  significand. 3 Parts  x = ~s b e :sign, significand, exponent Sign Bit 8-bit exponent 23-bit Significand
Image of page 5

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

View Full Document Right Arrow Icon
CSE 246 6 Standard    ~ e 1 e 2 e 3 e 4 e 5 e 6 e 7 e 8 s 1 s 2 s 3 …s 22 s
Image of page 6
Image of page 7
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