Number Representation & Conversion
|
|
- Marion Bryant
- 5 years ago
- Views:
Transcription
1 Number Representation & Conversion Chapter 4 Under the covers of numbers in Java 1
2 How (Unsigned) Integers Work Base 10 Decimal (People) Base 2 Binary (Computer) = =
3 Signed (Two s Complement) Numbers If left-most bit is 1, interpret bits as unsigned, but subtract = = = 22
4 Integer Division and Truncation Division of int and long discards remainders: 23 / 4 is 5, but 4*5 is 20! (23 % 4 is 3). System.out.println( L / ); // 3240 System.out.println(3240 * L); // System.out.println( L % ); // 2920 System.out.println( L / ); //
5 IEEE Floating Point Standard (32 bit) First normalize the number to the form: value = 1 S SIG 2 exp S = 0 (positive) or 1 (negative) 1 SIG < 2 (expressed in 24 bit precision) 127 exp
6 IEEE bit float Value Representation: Decimal: [+/-]<digit>.<fraction> x 10 <exponent> e.g x Binary: [+/-]1.<fraction> x 2 <exponent> e.g x 2 78 Special case for 0, +/- (INFINITY), Not a Number (NAN) Bit Representation (float) S EXP FRAC b 31 b 30 b 29 b 28 b 27 b 26 b 25 b 24 b 23 b 22 b 21 b 20 b 19 b 18 b 17 b 16 b 15 b 14 b 13 b 12 b 11 b 10 b 9 b 8 b 7 b 6 b 5 b 4 b 3 b 2 b 1 b 0 see: Class Web Page Examples: Number String Conversion
7 Floating Point Approximation 4.35 has an infinite binary expansion that is truncated (float) (double) through 4.35 all give the same double Weird effects of approximation: 4.35F*100 prints as *100 prints as F*100 prints as
8 Truncation and Rounding System.out.println(4.35*100); System.out.println((int)4.35*100); 400 System.out.println((int)(4.35*100)); 434 System.out.println(Math.round(4.35*100)); 435 (Note this is of type long ) 8
9 Range v. Precision v. Space Type Range Precision Space boolean true/false Exact 8 bits byte +/- 127 Exact 8 bits short +/- ~32K Exact 16 bits int +/- ~2M Exact 32 bits float +/- ~ ~15 digits 32 bits long +/- ~ Exact 64 bits double +/- ~ ~23 digits 64 bits 9
10 Java Automatic Conversion int i = (int)12.5f; // Casting conversion float to int; compile error without cast System.out.println("(int)12.5f==" + i); // Convert i to string float f = i; // int to float, widening conversion System.out.println("after float widening: " + f); // Convert f to string System.out.print(f); f = f * i; // Convert i to float - operation is float*float System.out.println("*" + i + "==" + f); // Two strings: i and f: double d = Math.sin(f); // float to double, Math.sin needs a double argument System.out.println("Math.sin(" + f + ")==" + d); // Two strings: f and d 10
11 Widening Primitive Conversions byte -> short/char -> int -> long -> float -> double Allowed because the result is always correct, no information lost except for loss of precision from integer to floating point Integers: Sign-extend on left to get greater width Floating point: add.0 and find closest floating point value 11
12 Narrowing Primitive Conversions double -> float -> long -> int -> char/short -> byte Restricted may lose information Compile error without explicit cast No runtime error if information lost Integer: Truncate bits from left Float-> Integer: drop fractional values 12
13 The Integer Class Static fields: BYTES, MAX_VALUE, MIN_VALUE, SIZE, TYPE Single dynamic field: value Used when we need a simple object objnum static methods for integer utilities Dynamic methods for info about value Integers are immutable! Integer value 12 Integer objnum = new Integer(12); // Or, new version Integer objnum = Integer.valueOf(12); // cache & reuse obj 13
14 Primitive Boxing Each primitive type maps to an Object type boolean -> Boolean char -> Character byte, short, int -> Integer float -> Float double -> Double The object is like a box around the value Sect
15 Boxing and Unboxing Conversions Java often infers from the context that boxing or unboxing is required Boxing required when a reference to an object is needed Unboxing required when a primitive value is needed width Integer width = 10; Integer height = 12; Integer area = width * height; height Integer value 10 Integer value 12 area Integer value
16 String Conversion Values that appear in a String context are converted to String Primitives: First boxed Objects: Use tostring method to determine the string representation Note: There is a default tostring method if you don t code one returns [package.]class@address e.g. conv.conv@17d
17 Declaring Constants When working with numbers in programs it is of huge benefit to give names to constants By introducing named constants, code becomes more transparent to readers and if a change is needed, the change is only made in one place. Section Example in final double QUARTER_VALUE = 0.25; similarly DIME_VALUE, NICKEL_VALUE, PENNY_VALUE 17
18 Constants in Library In Math: public static final double E = ; public static final double PI = ; In the default srgb space public final static Color yellow = new Color(255,255,0); In the default srgb space since 1.4 public final static Color YELLOW = yellow; 18
Floating Point Arithmetic
Floating Point Arithmetic Computer Systems, Section 2.4 Abstraction Anything that is not an integer can be thought of as . e.g. 391.1356 Or can be thought of as + /
More informationExercises Software Development I. 05 Conversions and Promotions; Lifetime, Scope, Shadowing. November 5th, 2014
Exercises Software Development I 05 Conversions and Promotions; Lifetime, Scope, Shadowing November 5th, 2014 Software Development I Winter term 2014/2015 Priv.-Doz. Dipl.-Ing. Dr. Andreas Riener Institute
More informationJava Classes: Math, Integer A C S L E C T U R E 8
Java Classes: Math, Integer A C S - 1903 L E C T U R E 8 Math class Math class is a utility class You cannot create an instance of Math All references to constants and methods will use the prefix Math.
More informationCOMP2611: Computer Organization. Data Representation
COMP2611: Computer Organization Comp2611 Fall 2015 2 1. Binary numbers and 2 s Complement Numbers 3 Bits: are the basis for binary number representation in digital computers What you will learn here: How
More informationMore Programming Constructs -- Introduction
More Programming Constructs -- Introduction We can now examine some additional programming concepts and constructs Chapter 5 focuses on: internal data representation conversions between one data type and
More informationDeclaration and Memory
Declaration and Memory With the declaration int width; the compiler will set aside a 4-byte (32-bit) block of memory (see right) The compiler has a symbol table, which will have an entry such as Identifier
More informationCOMP Primitive and Class Types. Yi Hong May 14, 2015
COMP 110-001 Primitive and Class Types Yi Hong May 14, 2015 Review What are the two major parts of an object? What is the relationship between class and object? Design a simple class for Student How to
More informationZheng-Liang Lu Java Programming 45 / 79
1 class Lecture2 { 2 3 "Elementray Programming" 4 5 } 6 7 / References 8 [1] Ch. 2 in YDL 9 [2] Ch. 2 and 3 in Sharan 10 [3] Ch. 2 in HS 11 / Zheng-Liang Lu Java Programming 45 / 79 Example Given a radius
More informationCOMP-202: Foundations of Programming. Lecture 5: More About Methods and Data Types Jackie Cheung, Winter 2016
COMP-202: Foundations of Programming Lecture 5: More About Methods and Data Types Jackie Cheung, Winter 2016 More Tutoring Help The Engineering Peer Tutoring Services (EPTS) is hosting free tutoring sessions
More informationNumber Systems. Binary Numbers. Appendix. Decimal notation represents numbers as powers of 10, for example
Appendix F Number Systems Binary Numbers Decimal notation represents numbers as powers of 10, for example 1729 1 103 7 102 2 101 9 100 decimal = + + + There is no particular reason for the choice of 10,
More informationIntroduction to Computer Science and Object-Oriented Programming
COMP 111 Introduction to Computer Science and Object-Oriented Programming Values Judgment Programs Manipulate Values Inputs them Stores them Calculates new values from existing ones Outputs them In Java
More informationOutline. Review of Last Week II. Review of Last Week. Computer Memory. Review Variables and Memory. February 7, Data Types
Data Types Declarations and Initializations Larry Caretto Computer Science 16 Computing in Engineering and Science February 7, 25 Outline Review last week Meaning of data types Integer data types have
More informationComputer System and programming in C
1 Basic Data Types Integral Types Integers are stored in various sizes. They can be signed or unsigned. Example Suppose an integer is represented by a byte (8 bits). Leftmost bit is sign bit. If the sign
More informationOperators and Expressions
Operators and Expressions Conversions. Widening and Narrowing Primitive Conversions Widening and Narrowing Reference Conversions Conversions up the type hierarchy are called widening reference conversions
More informationJava Primer 1: Types, Classes and Operators
Java Primer 1 3/18/14 Presentation for use with the textbook Data Structures and Algorithms in Java, 6th edition, by M. T. Goodrich, R. Tamassia, and M. H. Goldwasser, Wiley, 2014 Java Primer 1: Types,
More informationUp next. Midterm. Today s lecture. To follow
Up next Midterm Next Friday in class Exams page on web site has info + practice problems Excited for you to rock the exams like you have been the assignments! Today s lecture Back to numbers, bits, data
More informationDatatypes, Variables, and Operations
Datatypes, Variables, and Operations 1 Primitive Type Classification 2 Numerical Data Types Name Range Storage Size byte 2 7 to 2 7 1 (-128 to 127) 8-bit signed short 2 15 to 2 15 1 (-32768 to 32767) 16-bit
More informationValues, Variables, Types & Arithmetic Expressions. Agenda
Values, Variables, Types & Arithmetic Expressions Lecture 2 Object-Oriented Programming Agenda Inside of a Computer Value Variable Data Types in Java Literals Identifiers Type conversions Manipulating
More informationFloating Point January 24, 2008
15-213 The course that gives CMU its Zip! Floating Point January 24, 2008 Topics IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties class04.ppt 15-213, S 08 Floating
More informationTwo Types of Types. Primitive Types in Java. Using Primitive Variables. Class #07: Java Primitives. Integer types.
Class #07: Java Primitives Software Design I (CS 120): M. Allen, 13 Sep. 2018 Two Types of Types So far, we have mainly been dealing with objects, like DrawingGizmo, Window, Triangle, that are: 1. Specified
More informationCS313D: ADVANCED PROGRAMMING LANGUAGE
CS313D: ADVANCED PROGRAMMING LANGUAGE Computer Science department Lecture 2 : C# Language Basics Lecture Contents 2 The C# language First program Variables and constants Input/output Expressions and casting
More informationFoundations of Computer Systems
18-600 Foundations of Computer Systems Lecture 4: Floating Point Required Reading Assignment: Chapter 2 of CS:APP (3 rd edition) by Randy Bryant & Dave O Hallaron Assignments for This Week: Lab 1 18-600
More informationFloating Point Puzzles. Lecture 3B Floating Point. IEEE Floating Point. Fractional Binary Numbers. Topics. IEEE Standard 754
Floating Point Puzzles Topics Lecture 3B Floating Point IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties For each of the following C expressions, either: Argue that
More informationReview: Exam 1. Your First C++ Program. Declaration Statements. Tells the compiler. Examples of declaration statements
Review: Exam 1 9/20/06 CS150 Introduction to Computer Science 1 1 Your First C++ Program 1 //*********************************************************** 2 // File name: hello.cpp 3 // Author: Shereen Khoja
More informationCOMP6700/2140 Data and Types
COMP6700/2140 Data and Types Alexei B Khorev and Josh Milthorpe Research School of Computer Science, ANU February 2017 Alexei B Khorev and Josh Milthorpe (RSCS, ANU) COMP6700/2140 Data and Types February
More informationCIS133J. Working with Numbers in Java
CIS133J Working with Numbers in Java Contents: Using variables with integral numbers Using variables with floating point numbers How to declare integral variables How to declare floating point variables
More informationFinite arithmetic and error analysis
Finite arithmetic and error analysis Escuela de Ingeniería Informática de Oviedo (Dpto de Matemáticas-UniOvi) Numerical Computation Finite arithmetic and error analysis 1 / 45 Outline 1 Number representation:
More informationFloating-Point Data Representation and Manipulation 198:231 Introduction to Computer Organization Lecture 3
Floating-Point Data Representation and Manipulation 198:231 Introduction to Computer Organization Instructor: Nicole Hynes nicole.hynes@rutgers.edu 1 Fixed Point Numbers Fixed point number: integer part
More informationSystems I. Floating Point. Topics IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties
Systems I Floating Point Topics IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties IEEE Floating Point IEEE Standard 754 Established in 1985 as uniform standard for
More informationThese are reserved words of the C language. For example int, float, if, else, for, while etc.
Tokens in C Keywords These are reserved words of the C language. For example int, float, if, else, for, while etc. Identifiers An Identifier is a sequence of letters and digits, but must start with a letter.
More information1 class Lecture2 { 2 3 "Elementray Programming" / References 8 [1] Ch. 2 in YDL 9 [2] Ch. 2 and 3 in Sharan 10 [3] Ch.
1 class Lecture2 { 2 3 "Elementray Programming" 4 5 } 6 7 / References 8 [1] Ch. 2 in YDL 9 [2] Ch. 2 and 3 in Sharan 10 [3] Ch. 2 in HS 11 / Zheng-Liang Lu Java Programming 41 / 68 Example Given the radius
More informationData Types. Every program uses data, either explicitly or implicitly to arrive at a result.
Every program uses data, either explicitly or implicitly to arrive at a result. Data in a program is collected into data structures, and is manipulated by algorithms. Algorithms + Data Structures = Programs
More informationData Representation Floating Point
Data Representation Floating Point CSCI 224 / ECE 317: Computer Architecture Instructor: Prof. Jason Fritts Slides adapted from Bryant & O Hallaron s slides Today: Floating Point Background: Fractional
More informationProgramming in C++ 6. Floating point data types
Programming in C++ 6. Floating point data types! Introduction! Type double! Type float! Changing types! Type promotion & conversion! Casts! Initialization! Assignment operators! Summary 1 Introduction
More informationChapter 2 Float Point Arithmetic. Real Numbers in Decimal Notation. Real Numbers in Decimal Notation
Chapter 2 Float Point Arithmetic Topics IEEE Floating Point Standard Fractional Binary Numbers Rounding Floating Point Operations Mathematical properties Real Numbers in Decimal Notation Representation
More informationFloating Point Puzzles. Lecture 3B Floating Point. IEEE Floating Point. Fractional Binary Numbers. Topics. IEEE Standard 754
Floating Point Puzzles Topics Lecture 3B Floating Point IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties For each of the following C expressions, either: Argue that
More informationFloating Point (with contributions from Dr. Bin Ren, William & Mary Computer Science)
Floating Point (with contributions from Dr. Bin Ren, William & Mary Computer Science) Floating Point Background: Fractional binary numbers IEEE floating point standard: Definition Example and properties
More informationMidterm Exam Answers Instructor: Randy Shepherd CSCI-UA.0201 Spring 2017
Section 1: Multiple choice (select any that apply) - 20 points 01. Representing 10 using the 4 byte unsigned integer encoding and using 4 byte two s complements encoding yields the same bit pattern. (a)
More informationData Representation Floating Point
Data Representation Floating Point CSCI 2400 / ECE 3217: Computer Architecture Instructor: David Ferry Slides adapted from Bryant & O Hallaron s slides via Jason Fritts Today: Floating Point Background:
More informationExpressions and Casting. Data Manipulation. Simple Program 11/5/2013
Expressions and Casting C# Programming Rob Miles Data Manipulation We know that programs use data storage (variables) to hold values and statements to process the data The statements are obeyed in sequence
More informationBut first, encode deck of cards. Integer Representation. Two possible representations. Two better representations WELLESLEY CS 240 9/8/15
Integer Representation Representation of integers: unsigned and signed Sign extension Arithmetic and shifting Casting But first, encode deck of cards. cards in suits How do we encode suits, face cards?
More informationBits, Words, and Integers
Computer Science 52 Bits, Words, and Integers Spring Semester, 2017 In this document, we look at how bits are organized into meaningful data. In particular, we will see the details of how integers are
More informationSystem Programming CISC 360. Floating Point September 16, 2008
System Programming CISC 360 Floating Point September 16, 2008 Topics IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties Powerpoint Lecture Notes for Computer Systems:
More informationint: integers, no fractional part double: floating-point numbers (double precision) 1, -4, 0 0.5, , 4.3E24, 1E-14
int: integers, no fractional part 1, -4, 0 double: floating-point numbers (double precision) 0.5, -3.11111, 4.3E24, 1E-14 A numeric computation overflows if the result falls outside the range for the number
More informationCS111: PROGRAMMING LANGUAGE II
1 CS111: PROGRAMMING LANGUAGE II Computer Science Department Lecture 1: Introduction Lecture Contents 2 Course info Why programming?? Why Java?? Write once, run anywhere!! Java basics Input/output Variables
More informationECE232: Hardware Organization and Design
ECE232: Hardware Organization and Design Lecture 11: Floating Point & Floating Point Addition Adapted from Computer Organization and Design, Patterson & Hennessy, UCB Last time: Single Precision Format
More informationBASIC COMPUTATION. public static void main(string [] args) Fundamentals of Computer Science I
BASIC COMPUTATION x public static void main(string [] args) Fundamentals of Computer Science I Outline Using Eclipse Data Types Variables Primitive and Class Data Types Expressions Declaration Assignment
More informationENCE 688R Civil Information Systems. The Java Language. Mark Austin.
p. 1/4 ENCE 688R Civil Information Systems The Java Language Mark Austin E-mail: austin@isr.umd.edu Department of Civil and Environmental Engineering, University of Maryland, College Park p. 2/4 Lecture
More informationExpressions and Casting
Expressions and Casting C# Programming Rob Miles Data Manipulation We know that programs use data storage (variables) to hold values and statements to process the data The statements are obeyed in sequence
More informationLesson 02 Data Types and Statements. MIT 11053, Fundamentals of Programming By: S. Sabraz Nawaz Senior Lecturer in MIT Department of MIT FMC, SEUSL
Lesson 02 Data Types and Statements MIT 11053, Fundamentals of Programming By: S. Sabraz Nawaz Senior Lecturer in MIT Department of MIT FMC, SEUSL Topics Covered Statements Variables Data Types Arithmetic
More informationProgram Fundamentals
Program Fundamentals /* HelloWorld.java * The classic Hello, world! program */ class HelloWorld { public static void main (String[ ] args) { System.out.println( Hello, world! ); } } /* HelloWorld.java
More informationCOSC 243. Data Representation 3. Lecture 3 - Data Representation 3 1. COSC 243 (Computer Architecture)
COSC 243 Data Representation 3 Lecture 3 - Data Representation 3 1 Data Representation Test Material Lectures 1, 2, and 3 Tutorials 1b, 2a, and 2b During Tutorial a Next Week 12 th and 13 th March If you
More informationCS2141 Software Development using C/C++ C++ Basics
CS2141 Software Development using C/C++ C++ Basics Integers Basic Types Can be short, long, or just plain int C++ does not define the size of them other than short
More informationFloating Point Puzzles The course that gives CMU its Zip! Floating Point Jan 22, IEEE Floating Point. Fractional Binary Numbers.
class04.ppt 15-213 The course that gives CMU its Zip! Topics Floating Point Jan 22, 2004 IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties Floating Point Puzzles For
More informationFloating Point Numbers
Floating Point Numbers Computer Systems Organization (Spring 2016) CSCI-UA 201, Section 2 Instructor: Joanna Klukowska Slides adapted from Randal E. Bryant and David R. O Hallaron (CMU) Mohamed Zahran
More informationFloating Point Numbers
Floating Point Numbers Computer Systems Organization (Spring 2016) CSCI-UA 201, Section 2 Fractions in Binary Instructor: Joanna Klukowska Slides adapted from Randal E. Bryant and David R. O Hallaron (CMU)
More informationCS 261 Fall Floating-Point Numbers. Mike Lam, Professor. https://xkcd.com/217/
CS 261 Fall 2017 Mike Lam, Professor https://xkcd.com/217/ Floating-Point Numbers Floating-point Topics Binary fractions Floating-point representation Conversions and rounding error Binary fractions Now
More informationModule 2 - Part 2 DATA TYPES AND EXPRESSIONS 1/15/19 CSE 1321 MODULE 2 1
Module 2 - Part 2 DATA TYPES AND EXPRESSIONS 1/15/19 CSE 1321 MODULE 2 1 Topics 1. Expressions 2. Operator precedence 3. Shorthand operators 4. Data/Type Conversion 1/15/19 CSE 1321 MODULE 2 2 Expressions
More informationNumerical computing. How computers store real numbers and the problems that result
Numerical computing How computers store real numbers and the problems that result The scientific method Theory: Mathematical equations provide a description or model Experiment Inference from data Test
More informationChapter 4 Fundamental Data Types. Big Java by Cay Horstmann Copyright 2009 by John Wiley & Sons. All rights reserved.
Chapter 4 Fundamental Data Types ICOM 4015: Advanced Programming Lecture 4 Reading: Chapter Four: Fundamental Data Types Big Java by Cay Horstmann Copyright 2009 by John Wiley & Sons. All rights reserved.
More informationIntroduction to Programming Using Java (98-388)
Introduction to Programming Using Java (98-388) Understand Java fundamentals Describe the use of main in a Java application Signature of main, why it is static; how to consume an instance of your own class;
More informationDeclaration. Fundamental Data Types. Modifying the Basic Types. Basic Data Types. All variables must be declared before being used.
Declaration Fundamental Data Types All variables must be declared before being used. Tells compiler to set aside an appropriate amount of space in memory to hold a value. Enables the compiler to perform
More informationGiving credit where credit is due
CSCE 230J Computer Organization Floating Point Dr. Steve Goddard goddard@cse.unl.edu http://cse.unl.edu/~goddard/courses/csce230j Giving credit where credit is due Most of slides for this lecture are based
More informationAdding Binary Integers. Part 5. Adding Base 10 Numbers. Adding 2's Complement. Adding Binary Example = 10. Arithmetic Logic Unit
Part 5 Adding Binary Integers Arithmetic Logic Unit = Adding Binary Integers Adding Base Numbers Computer's add binary numbers the same way that we do with decimal Columns are aligned, added, and "'s"
More informationNumerical Data. CS 180 Sunil Prabhakar Department of Computer Science Purdue University
Numerical Data CS 180 Sunil Prabhakar Department of Computer Science Purdue University Problem Write a program to compute the area and perimeter of a circle given its radius. Requires that we perform operations
More information2/9/2012. Chapter Four: Fundamental Data Types. Chapter Goals
Chapter Four: Fundamental Data Types Chapter Goals To understand integer and floating-point numbers To recognize the limitations of the numeric types To become aware of causes for overflow and roundoff
More informationCHAPTER V NUMBER SYSTEMS AND ARITHMETIC
CHAPTER V-1 CHAPTER V CHAPTER V NUMBER SYSTEMS AND ARITHMETIC CHAPTER V-2 NUMBER SYSTEMS RADIX-R REPRESENTATION Decimal number expansion 73625 10 = ( 7 10 4 ) + ( 3 10 3 ) + ( 6 10 2 ) + ( 2 10 1 ) +(
More informationData Representation Floating Point
Data Representation Floating Point CSCI 2400 / ECE 3217: Computer Architecture Instructor: David Ferry Slides adapted from Bryant & O Hallaron s slides via Jason Fritts Today: Floating Point Background:
More informationGiving credit where credit is due
JDEP 284H Foundations of Computer Systems Floating Point Dr. Steve Goddard goddard@cse.unl.edu Giving credit where credit is due Most of slides for this lecture are based on slides created by Drs. Bryant
More informationChapter 4 Fundamental Data Types. Big Java by Cay Horstmann Copyright 2009 by John Wiley & Sons. All rights reserved.
Chapter 4 Fundamental Data Types Chapter Goals To understand integer and floating-point numbers To recognize the limitations of the numeric types To become aware of causes for overflow and roundoff errors
More informationComputer Organization: A Programmer's Perspective
A Programmer's Perspective Representing Numbers Gal A. Kaminka galk@cs.biu.ac.il Fractional Binary Numbers 2 i 2 i 1 4 2 1 b i b i 1 b 2 b 1 b 0. b 1 b 2 b 3 b j 1/2 1/4 1/8 Representation Bits to right
More informationJava Fall 2018 Margaret Reid-Miller
Java 15-121 Fall 2018 Margaret Reid-Miller Reminders How many late days can you use all semester? 3 How many late days can you use for a single assignment? 1 What is the penalty for turning an assignment
More informationUsing the um-fpu with the Javelin Stamp
Using the um-fpu with the Javelin Stamp Introduction The um-fpu is a 32-bit floating point coprocessor that can be easily interfaced with the Javelin Stamp to provide support for 32-bit IEEE 754 floating
More informationCS367 Test 1 Review Guide
CS367 Test 1 Review Guide This guide tries to revisit what topics we've covered, and also to briefly suggest/hint at types of questions that might show up on the test. Anything on slides, assigned reading,
More informationCS 261 Fall Floating-Point Numbers. Mike Lam, Professor.
CS 261 Fall 2018 Mike Lam, Professor https://xkcd.com/217/ Floating-Point Numbers Floating-point Topics Binary fractions Floating-point representation Conversions and rounding error Binary fractions Now
More informationSOFTWARE DEVELOPMENT 1. Operators 2018W A. Ferscha (Institute of Pervasive Computing, JKU Linz)
SOFTWARE DEVELOPMENT 1 Operators 2018W (Institute of Pervasive Computing, JKU Linz) OPERATORS Operators are required to form expressions. Depending on the number of operands they take, they are called:
More informationCOMP-202 Unit 2: Java Basics. CONTENTS: Using Expressions and Variables Types Strings Methods
COMP-202 Unit 2: Java Basics CONTENTS: Using Expressions and Variables Types Strings Methods Assignment 1 Assignment 1 posted on WebCt and course website. It is due May 18th st at 23:30 Worth 6% Part programming,
More informationCSCI 2010 Principles of Computer Science. Data and Expressions 08/09/2013 CSCI
CSCI 2010 Principles of Computer Science Data and Expressions 08/09/2013 CSCI 2010 1 Data Types, Variables and Expressions in Java We look at the primitive data types, strings and expressions that are
More informationVARIABLES AND TYPES CITS1001
VARIABLES AND TYPES CITS1001 Scope of this lecture Types in Java the eight primitive types the unlimited number of object types Values and References The Golden Rule Primitive types Every piece of data
More informationVB FUNCTIONS AND OPERATORS
VB FUNCTIONS AND OPERATORS In der to compute inputs from users and generate results, we need to use various mathematical operats. In Visual Basic, other than the addition (+) and subtraction (-), the symbols
More informationWorld Inside a Computer is Binary
C Programming 1 Representation of int data World Inside a Computer is Binary C Programming 2 Decimal Number System Basic symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Radix-10 positional number system. The radix
More informationLecture 2. COMP1406/1006 (the Java course) Fall M. Jason Hinek Carleton University
Lecture 2 COMP1406/1006 (the Java course) Fall 2013 M. Jason Hinek Carleton University today s agenda a quick look back (last Thursday) assignment 0 is posted and is due this Friday at 2pm Java compiling
More informationInf2C - Computer Systems Lecture 2 Data Representation
Inf2C - Computer Systems Lecture 2 Data Representation Boris Grot School of Informatics University of Edinburgh Last lecture Moore s law Types of computer systems Computer components Computer system stack
More informationCEN 414 Java Programming
CEN 414 Java Programming Instructor: H. Esin ÜNAL SPRING 2017 Slides are modified from original slides of Y. Daniel Liang WEEK 2 ELEMENTARY PROGRAMMING 2 Computing the Area of a Circle public class ComputeArea
More informationFloating point. Today! IEEE Floating Point Standard! Rounding! Floating Point Operations! Mathematical properties. Next time. !
Floating point Today! IEEE Floating Point Standard! Rounding! Floating Point Operations! Mathematical properties Next time! The machine model Chris Riesbeck, Fall 2011 Checkpoint IEEE Floating point Floating
More informationData and Variables. Data Types Expressions. String Concatenation Variables Declaration Assignment Shorthand operators. Operators Precedence
Data and Variables Data Types Expressions Operators Precedence String Concatenation Variables Declaration Assignment Shorthand operators Review class All code in a java file is written in a class public
More informationReview for COSC 120 8/31/2017. Review for COSC 120 Computer Systems. Review for COSC 120 Computer Structure
Computer Systems Computer System Computer Structure C++ Environment Imperative vs. object-oriented programming in C++ Input / Output Primitive data types Software Banking System Compiler Music Player Text
More informationIntroduction to Computers and Programming. Numeric Values
Introduction to Computers and Programming Prof. I. K. Lundqvist Lecture 5 Reading: B pp. 47-71 Sept 1 003 Numeric Values Storing the value of 5 10 using ASCII: 00110010 00110101 Binary notation: 00000000
More informationFormatting Output & Enumerated Types & Wrapper Classes
Formatting Output & Enumerated Types & Wrapper Classes Quick review of last lecture September 8, 2006 ComS 207: Programming I (in Java) Iowa State University, FALL 2006 Instructor: Alexander Stoytchev
More informationCS113: Lecture 3. Topics: Variables. Data types. Arithmetic and Bitwise Operators. Order of Evaluation
CS113: Lecture 3 Topics: Variables Data types Arithmetic and Bitwise Operators Order of Evaluation 1 Variables Names of variables: Composed of letters, digits, and the underscore ( ) character. (NO spaces;
More informationMODULE 02: BASIC COMPUTATION IN JAVA
MODULE 02: BASIC COMPUTATION IN JAVA Outline Variables Naming Conventions Data Types Primitive Data Types Review: int, double New: boolean, char The String Class Type Conversion Expressions Assignment
More informationLesson 02 Data Types and Statements. MIT 12043, Fundamentals of Programming By: S. Sabraz Nawaz Senior Lecturer in MIT Department of MIT FMC, SEUSL
Lesson 02 Data Types and Statements MIT 12043, Fundamentals of Programming By: S. Sabraz Nawaz Senior Lecturer in MIT Department of MIT FMC, SEUSL Topics Covered Statements Variables Constants Data Types
More informationC NUMERIC FORMATS. Overview. IEEE Single-Precision Floating-point Data Format. Figure C-0. Table C-0. Listing C-0.
C NUMERIC FORMATS Figure C-. Table C-. Listing C-. Overview The DSP supports the 32-bit single-precision floating-point data format defined in the IEEE Standard 754/854. In addition, the DSP supports an
More informationFloating point. Today. IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties Next time.
Floating point Today IEEE Floating Point Standard Rounding Floating Point Operations Mathematical properties Next time The machine model Fabián E. Bustamante, Spring 2010 IEEE Floating point Floating point
More informationCS429: Computer Organization and Architecture
CS429: Computer Organization and Architecture Dr. Bill Young Department of Computer Sciences University of Texas at Austin Last updated: September 18, 2017 at 12:48 CS429 Slideset 4: 1 Topics of this Slideset
More informationNumber Systems. Both numbers are positive
Number Systems Range of Numbers and Overflow When arithmetic operation such as Addition, Subtraction, Multiplication and Division are performed on numbers the results generated may exceed the range of
More informationFloating Point. CSE 351 Autumn Instructor: Justin Hsia
Floating Point CSE 351 Autumn 2016 Instructor: Justin Hsia Teaching Assistants: Chris Ma Hunter Zahn John Kaltenbach Kevin Bi Sachin Mehta Suraj Bhat Thomas Neuman Waylon Huang Xi Liu Yufang Sun http://xkcd.com/899/
More informationCHAPTER 3 Expressions, Functions, Output
CHAPTER 3 Expressions, Functions, Output More Data Types: Integral Number Types short, long, int (all represent integer values with no fractional part). Computer Representation of integer numbers - Number
More informationThe type of all data used in a C (or C++) program must be specified
The type of all data used in a C (or C++) program must be specified A data type is a description of the data being represented That is, a set of possible values and a set of operations on those values
More informationOverview (4) CPE 101 mod/reusing slides from a UW course. Assignment Statement: Review. Why Study Expressions? D-1
CPE 101 mod/reusing slides from a UW course Overview (4) Lecture 4: Arithmetic Expressions Arithmetic expressions Integer and floating-point (double) types Unary and binary operators Precedence Associativity
More information