Exploring Number System


 Charleen Hall
 2 years ago
 Views:
Transcription
1 Exploring Number System Mun Chou, Fong QED Education Scientific Malaysia LEVEL High schools after students have been introduced to concepts of number systems. OBJECTIVES To explore converting between binary, octal, decimal and hexadecimal number systems by hand and also by using the BaseN mode. OVERVIEW Alternative to the decimal number system such as the binary has proven to be vitally important in computer sciences. We explore this binary system together with the octal (base8) number system and the hexadecimal number system (base16) as they are natural conversions from binary and are just as important in computer sciences. The decimal system is the widely used number system and as such we shall explore a lot on the relation between the three aforementioned systems with the decimal system. EXPLORATORY ACTIVITIES [Note] (a) Unless otherwise specified, we choose MthIO mode in the SETUP menu by tapping (b) The system each number represented will be described with a subscript of 2, 8, and 16 for binary, octal and hexadecimal respectively; except for number in base10, which will be written just as it is. Binary, Octal and Hexadecimal Systems The decimal number system (base10) is a positionvalue system which uses the numeral symbols of 0, 1, 2 9. In similar fashion, the binary uses only 1 s and 0 s for representation of number. For example the number 55 in decimal system will be represented as and can be easily illustrated using the binary table as follow: 2005 CASIO Computer Co., LTD. All Right Reserved. Page A
2 In power Of Input in 1 and So based on the table above, if we are to convert into decimal, the calculation is = = 55. On the calculator this can be done fairly easy in the BaseN mode. Each time you enter BaseN the calculator by default is in the Dec, or decimal system. Switch to the Bin, or binary system Enter the number Register into the calculator Switch to Dec to convert The calculator displays 55 verifying our hand calculation. How about expressing in octal (base8) or hexadecimal (base16)? Switch to Oct for conversion Or switch to Hex for base16 Both these outputs of 67 8 and can be easily illustrated with the base tables. For example the octal representation of or 55: In power Of Input from 0 till = = And to explain the hexadecimal representation of or 55: In power Of = = Input from 0 till Hexadecimal in Focus Let s explore further on the hexadecimal (base16) system. We begin by entering 10 in the Dec mode CASIO Computer Co., LTD. All Right Reserved. Page A
3 Enter BaseN/Dec mode Input 10 and register it Now tap once on to switch to the base16 mode. Do you notice the output is A? The reason of this is for avoiding confusion when using the base16 system. Since we use 0 till 15 in hexadecimal for representation, we may get confused over and 10, therefore 10 is represented as A in hexadecimal. How about the representation for 11, 12, 13, 14 and 15? Key these numbers into Dec mode and then switch to Hex mode to find out. The actual representation is as below. The digit In Hexadecimal A B C D E F Conversion from Base10 to the Other 3 Systems As shown above if we want to do a conversion from the other three systems to decimal we can use the base table. Converting from decimal to the other systems is slightly more challenging. Suppose we are to express 13 in binary, an effective method is the repeateddivision technique: 13 2 = 6 remainder is = 3 remainder is = 1 remainder is 1 The division stops when the quotient is < 2, then we read the binary conversion following the curved arrows, i.e. 13 = Similarly, conversion from decimal to octal or hexadecimal is along the same line too. For example to express 742 in hexadecimal: = 46 remainder is = 2 remainder is 14 We stop when the quotient is < 16; in this case it is 2. Reading in direction of the curved arrows, 742 is expressed as 2(14)6 16, but recalling the table just now, 14 is written as E in hexadecimal, therefore we have 742 = 2E6 16. The repeateddivision algorithm could take a while if we convert a larger number such as 175. The calculator can be used to process the conversion CASIO Computer Co., LTD. All Right Reserved. Page A
4 While in Dec mode, input 742 Then switch to Hex mode And the result of the conversion is displayed immediately. Conversion between the 3 Systems Conversion between the binary, octal and hexadecimal is much easier as the octal or the hexadecimal system is naturally closer to the binary than decimal. Consider the number Since the octal system has power index of 3 (2 3 = 8) as relative to the binary system, conversion can be performed as follow: Partitions into bits of 3 starting from right: / 010 / Then convert each part to its decimal equivalent: In decimal equivalent Reading the numbers in the direction of the shaded arrow, we have = To convert into hexadecimal, we partition the binary number to bits of 4 from the right, as hexadecimal system has power index of 4 (2 4 = 16) relative to the binary system: In decimal equivalent 13 5 Therefore = (13)5 16 or more appropriately, D5 16. Use the calculator to verify your conversion for all the above. Switch to Bin mode Now input the binary number Now switch to Hex or Oct mode It seems that the calculator outputs verify the manual calculation. Conversion from octal or hexadecimal into binary is the reverse of the above algorithm. Consider the number 1A5D 16. Again using the partition technique: Split all the digits in 1A5D 16 into 4 parts (because it has 4 digits): 1A5D A D CASIO Computer Co., LTD. All Right Reserved. Page A
5 Then convert each digit to its 4bit binary equivalent: 1 16 A D 16 In 4bit binary equivalent And in the direction of the shaded arrow, we have 1A5D 2 = or more appropriately, 1A5D 2 = , excluding the zeroes at front. Again use the calculator to verify the conversion for all the above. Switch to Hex mode, input 1A5D 16 Switch to Bin mode for result The output verifies that 1A5D 2 is equivalent to EXERCISES These exercises should enhance your understanding on the subject matter of number systems while using the calculator to explore further on conversion between different number systems. Calculate each one manually before verifying the solution with 991ES. Exercise 1 Use the base table to express each of the following in decimal, then verify with the BaseN mode. (i) (ii) (iii) (iv) E3AC 16 Exercise 2 Express 167 in (i) binary, (ii) Octal, and finally (iii) Hexadecimal form. Exercise 3 Express in base8 and base16 using the 3bit and 4 bit conversions. Exercise 4 Express (i) 37A 16 and (ii) in binary. Exercise 5 The number system of base5 should observe all the techniques and properties we discussed in the exploration also. Referring to the number system of base5: (i) Express 389 in base5; (ii) Convert into decimal and binary. Hint: You might not able to use the calculator for verification. SOLUTIONS to Exercises Exercise 1 (i) 45 (ii) 175 (iii) 41 (iv) CASIO Computer Co., LTD. All Right Reserved. Page A
6 Exercise 2 (i) (ii) (iii) A7 16 Exercise 3 174D 16 and Exercise 4 (i) (ii) Exercise 5 (i) 389 = (ii) 1482 and CASIO Computer Co., LTD. All Right Reserved. Page A
Sequence of Numbers. Mun Chou, Fong QED Education Scientific Malaysia
Sequence of Numbers Mun Chou, Fong QED Education Scientific Malaysia LEVEL High school after students have learned sequence. OBJECTIVES To review sequences and generate sequences using scientific calculator.
More informationUseful Number Systems
Useful Number Systems Decimal Base = 10 Digit Set = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} Binary Base = 2 Digit Set = {0, 1} Octal Base = 8 = 2 3 Digit Set = {0, 1, 2, 3, 4, 5, 6, 7} Hexadecimal Base = 16 = 2
More informationOct: 50 8 = 6 (r = 2) 6 8 = 0 (r = 6) Writing the remainders in reverse order we get: (50) 10 = (62) 8
ECE Department Summer LECTURE #5: Number Systems EEL : Digital Logic and Computer Systems Based on lecture notes by Dr. Eric M. Schwartz Decimal Number System: Our standard number system is base, also
More informationCSI 333 Lecture 1 Number Systems
CSI 333 Lecture 1 Number Systems 1 1 / 23 Basics of Number Systems Ref: Appendix C of Deitel & Deitel. Weighted Positional Notation: 192 = 2 10 0 + 9 10 1 + 1 10 2 General: Digit sequence : d n 1 d n 2...
More informationChapter Binary, Octal, Decimal, and Hexadecimal Calculations
Chapter 5 Binary, Octal, Decimal, and Hexadecimal Calculations This calculator is capable of performing the following operations involving different number systems. Number system conversion Arithmetic
More informationPositional Numbering System
APPENDIX B Positional Numbering System A positional numbering system uses a set of symbols. The value that each symbol represents, however, depends on its face value and its place value, the value associated
More informationBinary Numbers. Binary Octal Hexadecimal
Binary Numbers Binary Octal Hexadecimal Binary Numbers COUNTING SYSTEMS UNLIMITED... Since you have been using the 10 different digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 all your life, you may wonder how
More informationComputer Science 281 Binary and Hexadecimal Review
Computer Science 281 Binary and Hexadecimal Review 1 The Binary Number System Computers store everything, both instructions and data, by using many, many transistors, each of which can be in one of two
More informationBase Conversion written by Cathy Saxton
Base Conversion written by Cathy Saxton 1. Base 10 In base 10, the digits, from right to left, specify the 1 s, 10 s, 100 s, 1000 s, etc. These are powers of 10 (10 x ): 10 0 = 1, 10 1 = 10, 10 2 = 100,
More informationEverything you wanted to know about using Hexadecimal and Octal Numbers in Visual Basic 6
Everything you wanted to know about using Hexadecimal and Octal Numbers in Visual Basic 6 Number Systems No course on programming would be complete without a discussion of the Hexadecimal (Hex) number
More information2 Number Systems. Source: Foundations of Computer Science Cengage Learning. Objectives After studying this chapter, the student should be able to:
2 Number Systems 2.1 Source: Foundations of Computer Science Cengage Learning Objectives After studying this chapter, the student should be able to: Understand the concept of number systems. Distinguish
More informationNumber Systems I. CIS0082 Logic and Foundations of Mathematics. David Goodwin. 11:00, Tuesday 18 th October
Number Systems I CIS0082 Logic and Foundations of Mathematics David Goodwin david.goodwin@perisic.com 11:00, Tuesday 18 th October 2011 Outline 1 Number systems Numbers Natural numbers Integers Rational
More informationSection 1.4 Place Value Systems of Numeration in Other Bases
Section.4 Place Value Systems of Numeration in Other Bases Other Bases The HinduArabic system that is used in most of the world today is a positional value system with a base of ten. The simplest reason
More informationNumber Conversions Dr. Sarita Agarwal (Acharya Narendra Dev College,University of Delhi)
Conversions Dr. Sarita Agarwal (Acharya Narendra Dev College,University of Delhi) INTRODUCTION System A number system defines a set of values to represent quantity. We talk about the number of people
More informationChapter 7 Lab  Decimal, Binary, Octal, Hexadecimal Numbering Systems
Chapter 7 Lab  Decimal, Binary, Octal, Hexadecimal Numbering Systems This assignment is designed to familiarize you with different numbering systems, specifically: binary, octal, hexadecimal (and decimal)
More informationMachine Architecture and Number Systems. Major Computer Components. Schematic Diagram of a Computer. The CPU. The Bus. Main Memory.
1 Topics Machine Architecture and Number Systems Major Computer Components Bits, Bytes, and Words The Decimal Number System The Binary Number System Converting from Decimal to Binary Major Computer Components
More informationBinary Number System. 16. Binary Numbers. Base 10 digits: 0 1 2 3 4 5 6 7 8 9. Base 2 digits: 0 1
Binary Number System 1 Base 10 digits: 0 1 2 3 4 5 6 7 8 9 Base 2 digits: 0 1 Recall that in base 10, the digits of a number are just coefficients of powers of the base (10): 417 = 4 * 10 2 + 1 * 10 1
More information2 Number Systems 2.1. Foundations of Computer Science Cengage Learning
2 Number Systems 2.1 Foundations of Computer Science Cengage Learning 2.2 Objectives After studying this chapter, the student should be able to: Understand the concept of number systems. Distinguish between
More information3. Convert a number from one number system to another
3. Convert a number from one number system to another Conversion between number bases: Hexa (16) Decimal (10) Binary (2) Octal (8) More Interest Way we need conversion? We need decimal system for real
More informationNUMBER SYSTEMS. 1.1 Introduction
NUMBER SYSTEMS 1.1 Introduction There are several number systems which we normally use, such as decimal, binary, octal, hexadecimal, etc. Amongst them we are most familiar with the decimal number system.
More informationCOMP 250 Fall 2012 lecture 2 binary representations Sept. 11, 2012
Binary numbers The reason humans represent numbers using decimal (the ten digits from 0,1,... 9) is that we have ten fingers. There is no other reason than that. There is nothing special otherwise about
More informationCDA 3200 Digital Systems. Instructor: Dr. Janusz Zalewski Developed by: Dr. Dahai Guo Spring 2012
CDA 3200 Digital Systems Instructor: Dr. Janusz Zalewski Developed by: Dr. Dahai Guo Spring 2012 Outline Data Representation Binary Codes Why 6311 and Excess3? Data Representation (1/2) Each numbering
More informationLecture 11: Number Systems
Lecture 11: Number Systems Numeric Data Fixed point Integers (12, 345, 20567 etc) Real fractions (23.45, 23., 0.145 etc.) Floating point such as 23. 45 e 12 Basically an exponent representation Any number
More informationBinary, Octal, Decimal, and Hexadecimal Calculations
Chapter 5 Binary, Octal, Decimal, and Hexadecimal Calculations This calculator is capable of performing the following operations involving different number systems. Number system conversion Arithmetic
More informationDecimal to Binary Conversion
Decimal to Binary Conversion A tool that makes the conversion of decimal values to binary values simple is the following table. The first row is created by counting right to left from one to eight, for
More informationGoals. Unary Numbers. Decimal Numbers. 3,148 is. 1000 s 100 s 10 s 1 s. Number Bases 1/12/2009. COMP370 Intro to Computer Architecture 1
Number Bases //9 Goals Numbers Understand binary and hexadecimal numbers Be able to convert between number bases Understand binary fractions COMP37 Introduction to Computer Architecture Unary Numbers Decimal
More informationNUMBER SYSTEMS. William Stallings
NUMBER SYSTEMS William Stallings The Decimal System... The Binary System...3 Converting between Binary and Decimal...3 Integers...4 Fractions...5 Hexadecimal Notation...6 This document available at WilliamStallings.com/StudentSupport.html
More informationCS101 Lecture 11: Number Systems and Binary Numbers. Aaron Stevens 14 February 2011
CS101 Lecture 11: Number Systems and Binary Numbers Aaron Stevens 14 February 2011 1 2 1 3!!! MATH WARNING!!! TODAY S LECTURE CONTAINS TRACE AMOUNTS OF ARITHMETIC AND ALGEBRA PLEASE BE ADVISED THAT CALCULTORS
More informationCHAPTER 3 Numbers and Numeral Systems
CHAPTER 3 Numbers and Numeral Systems Numbers play an important role in almost all areas of mathematics, not least in calculus. Virtually all calculus books contain a thorough description of the natural,
More informationNumbering Systems. InThisAppendix...
G InThisAppendix... Introduction Binary Numbering System Hexadecimal Numbering System Octal Numbering System Binary Coded Decimal (BCD) Numbering System Real (Floating Point) Numbering System BCD/Binary/Decimal/Hex/Octal
More informationUnsigned Conversions from Decimal or to Decimal and other Number Systems
Page 1 of 5 Unsigned Conversions from Decimal or to Decimal and other Number Systems In all digital design, analysis, troubleshooting, and repair you will be working with binary numbers (or base 2). It
More informationBinary Numbers. Bob Brown Information Technology Department Southern Polytechnic State University
Binary Numbers Bob Brown Information Technology Department Southern Polytechnic State University Positional Number Systems The idea of number is a mathematical abstraction. To use numbers, we must represent
More information2011, The McGrawHill Companies, Inc. Chapter 3
Chapter 3 3.1 Decimal System The radix or base of a number system determines the total number of different symbols or digits used by that system. The decimal system has a base of 10 with the digits 0 through
More information6 3 4 9 = 6 10 + 3 10 + 4 10 + 9 10
Lesson The Binary Number System. Why Binary? The number system that you are familiar with, that you use every day, is the decimal number system, also commonly referred to as the base system. When you
More informationNumber Systems. Introduction / Number Systems
Number Systems Introduction / Number Systems Data Representation Data representation can be Digital or Analog In Analog representation values are represented over a continuous range In Digital representation
More informationDigital System Design Prof. D Roychoudhry Department of Computer Science and Engineering Indian Institute of Technology, Kharagpur
Digital System Design Prof. D Roychoudhry Department of Computer Science and Engineering Indian Institute of Technology, Kharagpur Lecture  04 Digital Logic II May, I before starting the today s lecture
More informationBinary, Hexadecimal, Octal, and BCD Numbers
23CH_PHCalter_TMSETE_949118 23/2/2007 1:37 PM Page 1 Binary, Hexadecimal, Octal, and BCD Numbers OBJECTIVES When you have completed this chapter, you should be able to: Convert between binary and decimal
More informationChapter 2. Binary Values and Number Systems
Chapter 2 Binary Values and Number Systems Numbers Natural numbers, a.k.a. positive integers Zero and any number obtained by repeatedly adding one to it. Examples: 100, 0, 45645, 32 Negative numbers A
More informationChapter 4: Computer Codes
Slide 1/30 Learning Objectives In this chapter you will learn about: Computer data Computer codes: representation of data in binary Most commonly used computer codes Collating sequence 36 Slide 2/30 Data
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
CHAPTER01 QUESTIONS MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) Convert binary 010101 to octal. 1) A) 258 B) 58 C) 218 D) 158 2) Any number
More informationLecture 2. Binary and Hexadecimal Numbers
Lecture 2 Binary and Hexadecimal Numbers Purpose: Review binary and hexadecimal number representations Convert directly from one base to another base Review addition and subtraction in binary representations
More informationMemory Management Simulation Interactive Lab
Memory Management Simulation Interactive Lab The purpose of this lab is to help you to understand deadlock. We will use a MOSS simulator for this. The instructions for this lab are for a computer running
More informationELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, OAKLAND UNIVERSITY ECE470/570: MicroprocessorBased System Design Fall 2014.
REVIEW OF NUMBER SYSTEMS Notes Unit 2 BINARY NUMBER SYSTEM In the decimal system, a decimal digit can take values from to 9. For the binary system, the counterpart of the decimal digit is the binary digit,
More informationBinary Numbers The Computer Number System
Binary Numbers The Computer Number System Number systems are simply ways to count things. Ours is the base0 or radix0 system. Note that there is no symbol for 0 or for the base of any system. We count,2,3,4,5,6,7,8,9,
More information4.3 TABLE 3 TABLE 4. 1342 five 1 125 3 25 4 5 2 1 125 75 20 2 222.
.3 Conversion Between Number Bases 169.3 Conversion Between Number Bases Although the numeration systems discussed in the opening section were all base ten, other bases have occurred historically. For
More informationCyber Security Workshop Encryption Reference Manual
Cyber Security Workshop Encryption Reference Manual May 2015 Basic Concepts in Encoding and Encryption Binary Encoding Examples Encryption Cipher Examples 1 P a g e Encoding Concepts Binary Encoding Basics
More informationTHE BINARY NUMBER SYSTEM
THE BINARY NUMBER SYSTEM Dr. Robert P. Webber, Longwood University Our civilization uses the base 10 or decimal place value system. Each digit in a number represents a power of 10. For example, 365.42
More informationCS 16: Assembly Language Programming for the IBM PC and Compatibles
CS 16: Assembly Language Programming for the IBM PC and Compatibles First, a little about you Your name Have you ever worked with/used/played with assembly language? If so, talk about it Why are you taking
More informationCPEN 214  Digital Logic Design Binary Systems
CPEN 4  Digital Logic Design Binary Systems C. Gerousis Digital Design 3 rd Ed., Mano Prentice Hall Digital vs. Analog An analog system has continuous range of values A mercury thermometer Vinyl records
More informationLABORATORY. Exploring Number Systems OBJECTIVES REFERENCES
Dmitriy Shironosov/ShutterStock, Inc. LABORATORY Exploring Number Systems 2 OBJECTIVES Experiment with number systems. Gain practice adding in binary and converting between bases. REFERENCES Software needed:
More informationActivity 1: Bits and Bytes
ICS3U (Java): Introduction to Computer Science, Grade 11, University Preparation Activity 1: Bits and Bytes The Binary Number System Computers use electrical circuits that include many transistors and
More information1. Give the 16 bit signed (twos complement) representation of the following decimal numbers, and convert to hexadecimal:
Exercises 1  number representations Questions 1. Give the 16 bit signed (twos complement) representation of the following decimal numbers, and convert to hexadecimal: (a) 3012 (b)  435 2. For each of
More informationEE 261 Introduction to Logic Circuits. Module #2 Number Systems
EE 261 Introduction to Logic Circuits Module #2 Number Systems Topics A. Number System Formation B. Base Conversions C. Binary Arithmetic D. Signed Numbers E. Signed Arithmetic F. Binary Codes Textbook
More informationfx570es PLUS fx991es PLUS
E fx570es PLUS fx991es PLUS User s Guide CASIO Worldwide Education Website http://edu.casio.com CASIO EDUCATIONAL FORUM http://edu.casio.com/forum/ Contents Important Information... 2 Sample Operations...
More information2010/9/19. Binary number system. Binary numbers. Outline. Binary to decimal
2/9/9 Binary number system Computer (electronic) systems prefer binary numbers Binary number: represent a number in base2 Binary numbers 2 3 + 7 + 5 Some terminology Bit: a binary digit ( or ) Hexadecimal
More informationCOMPSCI 210. Binary Fractions. Agenda & Reading
COMPSCI 21 Binary Fractions Agenda & Reading Topics: Fractions Binary Octal Hexadecimal Binary > Octal, Hex Octal > Binary, Hex Decimal > Octal, Hex Hex > Binary, Octal Animation: BinFrac.htm Example
More informationfor ECM Titanium) This guide contains a complete explanation of the Driver Maker plugin, an addon developed for
Driver Maker User Guide (Plugin for ECM Titanium) Introduction This guide contains a complete explanation of the Driver Maker plugin, an addon developed for ECM Titanium, the chiptuning software produced
More informationBINARY CODED DECIMAL: B.C.D.
BINARY CODED DECIMAL: B.C.D. ANOTHER METHOD TO REPRESENT DECIMAL NUMBERS USEFUL BECAUSE MANY DIGITAL DEVICES PROCESS + DISPLAY NUMBERS IN TENS IN BCD EACH NUMBER IS DEFINED BY A BINARY CODE OF 4 BITS.
More information198:211 Computer Architecture
198:211 Computer Architecture Topics: Lecture 8 (W5) Fall 2012 Data representation 2.1 and 2.2 of the book Floating point 2.4 of the book 1 Computer Architecture What do computers do? Manipulate stored
More informationEstimated Answer Answer Displayed on Calculator 46.13 Final (Rounded) Answer
Some Using a TI Graphing Calculator (Adapted from Principles of Chemistry Lab Manual Edwards/McKay/Sink) These instructions provide a review of basic operations on a TI Graphing Calculator. You must be
More informationData Representation. Data Representation, Storage, and Retrieval. Data Representation. Data Representation. Data Representation. Data Representation
, Storage, and Retrieval ULM/HHIM Summer Program Project 3, Day 3, Part 3 Digital computers convert the data they process into a digital value. Text Audio Images/Graphics Video Digitizing 00000000... 6/8/20
More informationCS321. Introduction to Numerical Methods
CS3 Introduction to Numerical Methods Lecture Number Representations and Errors Professor Jun Zhang Department of Computer Science University of Kentucky Lexington, KY 405060633 August 7, 05 Number in
More informationBinary math. Resources and methods for learning about these subjects (list a few here, in preparation for your research):
Binary math This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More informationPROGRAMMABLE LOGIC CONTROLLERS Unit code: A/601/1625 QCF level: 4 Credit value: 15 TUTORIAL OUTCOME 2 Part 1
UNIT 22: PROGRAMMABLE LOGIC CONTROLLERS Unit code: A/601/1625 QCF level: 4 Credit value: 15 TUTORIAL OUTCOME 2 Part 1 This work covers part of outcome 2 of the Edexcel standard module. The material is
More informationhttp://computernetworkingnotes.com/ccnastudyguide/basicofnetworkaddressing.html
Subnetting is a process of dividing large network into the smaller networks based on layer 3 IP address. Every computer on network has an IP address that represent its location on network. Two version
More informationComputer Systems. Computer Systems COMP1208. Objectives of the Module. Course Assessment. Reading List. What will you need
Computer Systems Computer Systems Lecturer: Ruth Coffey Room KE4027, email: ruth.coffey@dit.ie Today s Lecture >> Module Overview Objectives of Module Course Assessment Reading List Introduction to Computer
More informationA Step towards an Easy Interconversion of Various Number Systems
A towards an Easy Interconversion of Various Number Systems Shahid Latif, Rahat Ullah, Hamid Jan Department of Computer Science and Information Technology Sarhad University of Science and Information Technology
More informationBinary Representation
Binary Representation The basis of all digital data is binary representation. Binary  means two 1, 0 True, False Hot, Cold On, Off We must tbe able to handle more than just values for real world problems
More informationNUMBER SYSTEMS APPENDIX D. You will learn about the following in this appendix:
APPENDIX D NUMBER SYSTEMS You will learn about the following in this appendix: The four important number systems in computing binary, octal, decimal, and hexadecimal. A number system converter program
More informationSystems I: Computer Organization and Architecture
Systems I: Computer Organization and Architecture Lecture 2: Number Systems and Arithmetic Number Systems  Base The number system that we use is base : 734 = + 7 + 3 + 4 = x + 7x + 3x + 4x = x 3 + 7x
More informationUser Manual. DG LINK Application Program 071005650. www.tektronix.com. This document applies to firmware version 2.00 and above.
User Manual DG LINK Application Program 071005650 This document applies to firmware version 2.00 and above. www.tektronix.com Copyright Tektronix Japan, Ltd. All rights reserved. Copyright Tektronix,
More information5.4 Solving Percent Problems Using the Percent Equation
5. Solving Percent Problems Using the Percent Equation In this section we will develop and use a more algebraic equation approach to solving percent equations. Recall the percent proportion from the last
More informationKeystation Pro 88 Advanced Guide. Contents: 1 Getting Started. 2 Terminology. 3 Performance Operations of the Keystation Pro 88
Keystation Pro 88 Advanced Guide Contents: 1 Getting Started 2 Terminology 3 Performance Operations of the Keystation Pro 88 Sending Program Changes During Performance Sending Bank Changes During Performance
More informationJianjian Song LogicWorks 4 Tutorials (5/15/03) Page 1 of 14
LogicWorks 4 Tutorials Jianjian Song Department of Electrical and Computer Engineering RoseHulman Institute of Technology March 23 Table of Contents LogicWorks 4 Installation and update...2 2 Tutorial
More informationNumber of bits needed to address hosts 8
Advanced Subnetting Example 1: Your ISP has assigned you a Class C network address of 198.47.212.0. You have 3 networks in your company with the largest containing 134 hosts. You need to figure out if
More informationNumber Systems and Radix Conversion
Number Systems and Radix Conversion Sanjay Rajopadhye, Colorado State University 1 Introduction These notes for CS 270 describe polynomial number systems. The material is not in the textbook, but will
More informationLSN 2 Number Systems. ECT 224 Digital Computer Fundamentals. Department of Engineering Technology
LSN 2 Number Systems Department of Engineering Technology LSN 2 Decimal Number System Decimal number system has 10 digits (09) Base 10 weighting system... 10 5 10 4 10 3 10 2 10 1 10 0. 101 102 103
More informationTI83 Plus Graphing Calculator Keystroke Guide
TI83 Plus Graphing Calculator Keystroke Guide In your textbook you will notice that on some pages a keyshaped icon appears next to a brief description of a feature on your graphing calculator. In this
More informationDIGITAL FUNDAMENTALS lesson 4 Number systems
The decimal number system In the decimal number system the base is 0. For example the number 4069 means 4x000 + 0x00 + 6x0 + 9x. The powers of 0 with the number 4069 in tabelvorm are: power 0 3 0 2 0 0
More informationNumeration systems. Resources and methods for learning about these subjects (list a few here, in preparation for your research):
Numeration systems This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit http://creativecommons.org/licenses/by/1.0/,
More informationYou can probably work with decimal. binary numbers needed by the. Working with binary numbers is time consuming & errorprone.
IP Addressing & Subnetting Made Easy Working with IP Addresses Introduction You can probably work with decimal numbers much easier than with the binary numbers needed by the computer. Working with binary
More informationActivity 1: Using base ten blocks to model operations on decimals
Rational Numbers 9: Decimal Form of Rational Numbers Objectives To use base ten blocks to model operations on decimal numbers To review the algorithms for addition, subtraction, multiplication and division
More informationThe Hexadecimal Number System and Memory Addressing
APPENDIX C The Hexadecimal Number System and Memory Addressing U nderstanding the number system and the coding system that computers use to store data and communicate with each other is fundamental to
More informationFor more information on these functions and others, please refer to the ProNet User s Manual.
PRONETE Panel Operator Guide PRONETE Panel Operator Guide BASIC FUNCTION The Panel Operator on the front side of the panel of the PRONETE AC Servo Drive will allow the user to have access to and control
More informationBinary Representation. Number Systems. Base 10, Base 2, Base 16. Positional Notation. Conversion of Any Base to Decimal.
Binary Representation The basis of all digital data is binary representation. Binary  means two 1, 0 True, False Hot, Cold On, Off We must be able to handle more than just values for real world problems
More informationNumeral Systems. The number twentyfive can be represented in many ways: Decimal system (base 10): 25 Roman numerals:
Numeral Systems Which number is larger? 25 8 We need to distinguish between numbers and the symbols that represent them, called numerals. The number 25 is larger than 8, but the numeral 8 above is larger
More informationLab 1: Full Adder 0.0
Lab 1: Full Adder 0.0 Introduction In this lab you will design a simple digital circuit called a full adder. You will then use logic gates to draw a schematic for the circuit. Finally, you will verify
More informationIBM Emulation Mode Printer Commands
IBM Emulation Mode Printer Commands Section 3 This section provides a detailed description of IBM emulation mode commands you can use with your printer. Control Codes Control codes are onecharacter printer
More informationComp 255Q  1M: Computer Organization Lab #3  Machine Language Programs for the PDP8
Comp 255Q  1M: Computer Organization Lab #3  Machine Language Programs for the PDP8 January 22, 2013 Name: Grade /10 Introduction: In this lab you will write, test, and execute a number of simple PDP8
More informationSigned Binary Arithmetic
Signed Binary Arithmetic In the real world of mathematics, computers must represent both positive and negative binary numbers. For example, even when dealing with positive arguments, mathematical operations
More informationPreliminary Mathematics
Preliminary Mathematics The purpose of this document is to provide you with a refresher over some topics that will be essential for what we do in this class. We will begin with fractions, decimals, and
More information6.2. PERCENT FORMULA MODULE 6. PERCENT
6.2 Percent Formula In this lesson, we will learn 3 types of percent problems, and use 3 methods to solve each type of problems. You can choose your favorite method. It would be great if you can use all
More informationChapter 5. Binary, octal and hexadecimal numbers
Chapter 5. Binary, octal and hexadecimal numbers A place to look for some of this material is the Wikipedia page http://en.wikipedia.org/wiki/binary_numeral_system#counting_in_binary Another place that
More informationNAND Flash Memories. Using Linux MTD compatible mode. on ELNEC Universal Device Programmers. (Quick Guide)
NAND Flash Memories Using Linux MTD compatible mode on ELNEC Universal Device Programmers (Quick Guide) Application Note April 2012 an_elnec_linux_mtd, version 1.04 Version 1.04/04.2012 Page 1 of 16 As
More information3. Applications of Number Theory
3. APPLICATIONS OF NUMBER THEORY 163 3. Applications of Number Theory 3.1. Representation of Integers. Theorem 3.1.1. Given an integer b > 1, every positive integer n can be expresses uniquely as n = a
More information1. Objectives. 2. Create new project. 3. XOR gate
EE 121 October 1, 2002 Digital Design Laboratory Handout #3 Laboratory Assignment #1 Introduction to Xilinx Foundation Design Software Due date: Thursday, October 10, at the beginning of class To be completed
More information20 Saving Device Data Backup
20 Saving Device Data Backup 20.1 Try to Save Device Data Backup...202 20.2 Setting Guide...206 201 Try to Save Device Data Backup 20.1 Try to Save Device Data Backup The device data in Device/PLC can
More informationplc numbers  13.1 Encoded values; BCD and ASCII Error detection; parity, gray code and checksums
plc numbers  3. Topics: Number bases; binary, octal, decimal, hexadecimal Binary calculations; s compliments, addition, subtraction and Boolean operations Encoded values; BCD and ASCII Error detection;
More informationTeaching PreAlgebra in PowerPoint
Key Vocabulary: Numerator, Denominator, Ratio Title Key Skills: Convert Fractions to Decimals Long Division Convert Decimals to Percents Rounding Percents Slide #1: Start the lesson in Presentation Mode
More informationUsing the MODBUS Protocol with Omega CN8200, CN8240, and CN8260 Controllers
Using the MODBUS Protocol with Omega CN8200, CN8240, and CN8260 Controllers Omega and MultiComm are trademarks of Omega. MODBUS is a trademark of AEG Schneider Automation, Inc. Platinel is a trademark
More information