PPT-Floating Point Numbers & Parallel Computing
Author : stefany-barnette | Published Date : 2018-03-13
Outline Fixedpoint Numbers Floating Point Numbers Superscalar Processors Multithreading Homogeneous Multiprocessing Heterogeneous Multiprocessing 1 3141592653589793238462643383
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Floating Point Numbers & Parallel Computing: Transcript
Outline Fixedpoint Numbers Floating Point Numbers Superscalar Processors Multithreading Homogeneous Multiprocessing Heterogeneous Multiprocessing 1 3141592653589793238462643383 Fixedpoint Numbers. 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?. Nat 4/5 Computing Science. Lesson . 2:. More on Binary. What is . an integer?. Convert . 1100 1100 into . a decimal number. Convert 23 into binary.. What are the three advantages of binary. REVISION. So far we have studied the following . integer. number systems in computer. Unsigned numbers. Sign/magnitude numbers. Two’s complement numbers. What about . rational numbers. ?. For example, 2.5, -10.04, 0.75 etc. ITS Research Computing. Lani. Clough, Mark Reed. markreed@unc.edu. . Objectives. Introductory. level MATLAB course for people who want to learn . parallel and GPU computing . in MATLAB.. Help participants . Fall 2014. Section A, 8. th. September. Vinay Bhat. Welcome to a fun course!. Yes, it really is fun!. Recitation will be a place for …. … a quick overview of the last week’s lectures.. . … re-iteration of some key concepts.. Going Beyond Serial MATLAB Applications. MATLAB . Desktop (Client). Worker. Worker. Worker. Worker. Worker. Worker. Programming Parallel Applications (CPU). Built-in support. with t. oolboxes. Ease of Use. 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.. Weirdness. . Overflow. Each data type has a limited range. Depends on platform/compiler. Going past boundary wraps around. Data Types. Integral Types. Name. Size. Range. short. 16 bits. –2. 15. (-32,768) to 2. Operations . and . Arithmetic. Floating point representation and operations. Floating Point. Integer data type. 32-bit unsigned integers limited to whole numbers from 0 to just over 4 billion. What about national debt, bank bailout bill, Avogadro’s number, Google…the number?. Floating Point. Slides adapted from . Randy Bryant & Dave . O’Hallaron. Today: Floating Point. Background: Fractional binary numbers. IEEE floating point standard: Definition. Floating point in C. & 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. 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). 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 .
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