PPT-Floating Point Numbers & Parallel Computing

Outline Fixedpoint Numbers Floating Point Numbers Superscalar Processors Multithreading Homogeneous Multiprocessing Heterogeneous Multiprocessing 1 3141592653589793238462643383 Fixedpoint Numbers. Computer Organization . and Architecture. 9. th. Edition. Chapter. 10. Computer. Arithmetic. Arithmetic & Logic . Unit (ALU). Part of the computer that actually performs arithmetic and logical operations on data. 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. 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.. 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. Review. Homework due on Friday. Questions. Binary. Addition. Subtraction. Encoding. Outline. Two’s complement. Excess notation. Floating point format. Two’s complement. Similar to one’s complement. More Arithmetic:. Multiplication, Division & Floating-Point. Montek Singh. Nov . 9, . 2015. Lecture . 12. Topics. Brief. overview of:. integer multiplication. integer division. floating-point numbers and operations. and Architecture. 9. th. Edition. Chapter. 10. Computer. Arithmetic. Arithmetic & Logic . Unit (ALU). Part of the computer that actually performs arithmetic and logical operations on data. All of the other elements of the computer system are there mainly to bring data into the ALU for it to process and then to take the results back out. 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). and operations. Floating Point. Integer data type. 32-bit unsigned integers limited to whole numbers from 0 to just over 4 billion. What about large numbers (e.g. national debt, bank bailout bill, Avogadro’s number, Google…the number)?. 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. 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 .