PPT-Dynamic Floating-Point Cancellation Detection

Michael O Lam Presenter Jeffrey K Hollingsworth G W Stewart University of Maryland College Park Background FloatingPoint Representation 101 Floatingpoint represents real numbers as sig 2. By David Bishop (dbishop@vhdl.org) Floating-point numbers are the favorites of software people, and the least favorite of hardware people. The reason for this is because floating point takes up almo - . Nalini. Kumar. . Gaurav. . Chitroda. . Komal. . Kasat. OUTLINE. Introduction. Prior Art. Hw/. Sw. Partitioning Of Floating Point Applications. Floating Point To Fixed Point Conversion. Fixed Point To Floating Point Conversion. Lecture 8. Floating point format. Review. Two’s complement. Excessive notation. Introduction to floating point. Outline. Floating point conversion process. Standards. What are the components that make up a floating point number?. HPEC Conference, Sept 12 2012. Michael Parker. Altera Corp. Dan Pritsker . Altera Corp. 2. 28-nm . DSP Architecture on Stratix V FPGAs. User-programmable variable-precision . signal processing. Optimized for single- and double-precision . Convert Unsigned Floating-Point Binary 10111101.101110112 to Decimal Solution: The integer portion is evaluated as an unsigned integer: 101111012 Original Integer decimal = 1*27 + 0*26 + 1*25 + in . Computer . Systems. Chapter 2. 2. Chapter 2 Objectives. Understand the fundamentals of numerical data representation and manipulation in digital computers.. Master the skill of converting between various radix systems.. 15-213: Introduction to Computer Systems. Recitation 3: Monday, Sept. . 9. th. , 2013. Ian Hartwig. Section E. Welcome to Recitation. Recitation is a place for interaction. If you have questions, please ask.. & IEEE 754. Column Pattern. What goes to the right of 1’s column?. 2. 3. 8. 2. 2. 4. 2. 1. 2. 2. 0. 1. Column Pattern. Negative powers of two:. 2. -3. = . = . . = 0.125.  . 2. 3. 8. 2. 2. 4. Outline. Fixed-point Numbers. Floating Point Numbers. Superscalar Processors. Multithreading. Homogeneous Multiprocessing. Heterogeneous Multiprocessing. 1. 3.141592653589793238462643383…. Fixed-point Numbers. Rounding. Floating-Point Operations. Mathematical Properties. CS 105. “Tour of the Black Holes of Computing!”. Floating-Point Puzzles. For each of the following C expressions, either:. Argue that it is true for all argument values. Instructor:. . Mark Wyse. Teaching Assistants:. Kevin Bi Parker, . DeWilde. , Emily . Furst. ,. Sarah House, Waylon Huang, Vinny . Palaniappan. http://xkcd.com/571/. . Administrivia. Lab 1 due Friday (1/19). Rounding. Floating-Point Operations. Mathematical Properties. CS 105. “Tour of the Black Holes of Computing!”. Floating-Point Puzzles. For each of the following C expressions, either:. Argue that it is true for all argument values. 14-513 18-613 Floating Point 15-213/18-213/14-513/15-513/18-613: Introduction to Computer Systems 4 th Lecture, Sept. 5 , 2019 Today: Floating Point Background: Fractional binary numbers IEEE floating point standard: Definition IEEE 754 types of real number values. IEEE uses three different encodings to represent real values:. 1. . Denormalized values: . These are . extremely. small values, very close to 0, including 0. If such a value becomes too small, it can cause .