Chapter No.5 DATA REPRESENTATION

Save this PDF as:
 WORD  PNG  TXT  JPG

Size: px
Start display at page:

Download "Chapter No.5 DATA REPRESENTATION"

Transcription

1 Chapter No.5 DATA REPRESENTATION Q.5.01 Complete the following statements. i) Data is a collection of ii) Data becomes information when properly. iii) Octal equivalent of binary number is iv) 2 s complement of binary number is v) In floating point representation, mantises is kept less than vi) ASCII stands for i) raw facts ii) arranged iii) 142 iv) v) 1 iv) American Standard Code for Information Interchange Q.5.02 Which of the following statements are True or False? i) PK 345 is an example of Alphabetic data. ii) 128 is not an octal number. iii) In hexadecimal number F is equivalent to 16 in decimal number. iv) EBCDIC code is used in IBM compatible computers. v) Binary Coded Decimal (BCD) is a 10-bit code. i) False ii) True iii) False iv) True v) False Q.5.03 Encircle one Choice A, B, C or D I each case i) Binary coded decimal (BCD) express each decimal digit as: (A) Binary digit (B) Byte (C) Nibble (D) Word ii) The number 1000 comes immediately after: (A) 900 (B) FFF (C) 887 (D) 499 iii) The radix of a computerized version of the number (+0.66 E 4) is: (A) 2 (B) 4 (C) 6 (D) 8 iv) The number of possible combinations in a 7-bit code are: (A) 49 (B) 64 (C) 128 (D) 256 v) Which of the following is a 16-bit code? (A) BCD (B) Unicode (C) ASCII (D) EBCDIC i) (A) ii) (C) iii) (A) iv) (C) v) (B) 1

2 Q.5.04 Match the items given in Column I with those given in Column II Column I Column II i) Mantissa a) Nibble ii) Radix b) Byte iii) Exponent c) Argument iv) BCD d) Base v) ASCII e) Characteristics i) (c) ii) (d) iii) (e) iv) (a) v) (b) Q.5.06 Describe the importance of binary number system in computers. The importance of binary numbers in standard computing is basically everything. Computers only understand base 2 that is a 0 (off) and a 1 (on). Every piece of data passed through any part of the computer is done so using base 2 (binary). Q.5.07 Convert the following decimal numbers into their binary equivalent. (i) 47 (ii) 167 (iii) (iv) Example: Convert Decimal number into Binary equivalent X 2 = X 2 = Hence (25.75) 10 = ( ) 2 Q.5.08 Convert the following binary numbers into their decimal equivalent. (i) (ii) (iii) (iv)

3 Example: Convert Binary number into decimal equivalent. ( ) 2 = 1 X X X X X X X X 2-3 = 1 X X X X X = = = = (22.625) 10 Q.5.09 Convert the following decimal numbers into their octal equivalent. (i) 43 (ii) 291 (iii) 168 (iv) 2101 Example: Convert Decimal number 1583 into Octal equivalent Hence (1583) 10 = (3057) 8 Q.5.10 Convert the following octal numbers into their decimal equivalent. (i) 27 (iii) 372 (iii) 1101 (iv) 2345 Example: Convert octal number 3057 into decimal equivalent. 3

4 (3057) 8 = 3 X X X X 8 0 = 3 X X X X 1 = = 1583 = (1583) 10 Q.5.11 Convert the following decimal numbers into their Hexadecimal equivalent. (i) 37 (iii) 141 (iii) 532 (iv) 702 Example: Convert Decimal number into Hexadecimal equivalent =A =B 4 =E Hence (20154) 10 = (4EBA) 16 Q.5.12 Convert the following Hexadecimal numbers into their decimal equivalent. (i) 4F (iii) BA4C (iii) 532 (iv) 702 Example: Convert Hexadecimal number 3F8A into decimal equivalent. (3F8A) 16 = 3 X F X X A X 16 0 = 3 X X X X 1 = = = (16266) 10 4

5 Q.5.13 Subtract: (i) from (ii) from (iii) from (iv) from (v) from using 1 s and 2 s complement for part (i) to (iv) Above questions from (i) to (iv) are same as the following example. Example: part (v) is same as the following example: Example: Subtract (1101) 2 from (10010) 2 in binary system using 1 s and 2 s complement method. 1 s Complement Method: 1 st make equal digits in both the numbers by adding 0 s on the left. Like following Making equal digits of Binary numbers: and s complement of = Adding 1 s complement of Adding the carry Thus (10010) 2 (1101) 2 = (101) 2 2 s Complement Method: 1 st make equal digits in both the numbers by adding 0 s on the left. Like following 5

6 Making equal digits of Binary numbers: and s complement of = s complement of = = Adding 2 s complement of Dropping the carry Thus (10010) 2 (1101) 2 = (101) 2 Q.5.14 What is meant by coding in computers? Coding is the process of representing all the numeric or non-numeric information in binary digits. The language of electronic computers is binary therefore all the numeric or non-numeric data must be converted in to binary language. Q.5.15 Describe ASCII code and EBCDIC code? The ASCII Code ASCII stands for American Standard Code for Information Interchange. It is 7-bit code used to handle alphanumeric data having 128 different characters. It is the most popular coding system for PC s and data communication. This code allows manufactures to standardize input/output devices such as keyboard, printers visual display unit etc. The EBCDIC Code EBCDIC stands for Extended Binary Coded Decimal Interchange Code. It an 8-bit code and can provide 256 different characters. It is primarily used by International Business Machine on IBM mainframes and on other large computers. 6

Signed Binary Arithmetic

Signed 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 information

Number Representation

Number Representation Number Representation CS10001: Programming & Data Structures Pallab Dasgupta Professor, Dept. of Computer Sc. & Engg., Indian Institute of Technology Kharagpur Topics to be Discussed How are numeric data

More information

Chapter 4: Computer Codes

Chapter 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 information

Data Representation. Data Representation, Storage, and Retrieval. Data Representation. Data Representation. Data Representation. Data Representation

Data 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 information

2011, The McGraw-Hill Companies, Inc. Chapter 3

2011, The McGraw-Hill 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 information

Systems I: Computer Organization and Architecture

Systems 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 information

LSN 2 Number Systems. ECT 224 Digital Computer Fundamentals. Department of Engineering Technology

LSN 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 (0-9) Base 10 weighting system... 10 5 10 4 10 3 10 2 10 1 10 0. 10-1 10-2 10-3

More information

The string of digits 101101 in the binary number system represents the quantity

The string of digits 101101 in the binary number system represents the quantity Data Representation Section 3.1 Data Types Registers contain either data or control information Control information is a bit or group of bits used to specify the sequence of command signals needed for

More information

Levent EREN levent.eren@ieu.edu.tr A-306 Office Phone:488-9882 INTRODUCTION TO DIGITAL LOGIC

Levent EREN levent.eren@ieu.edu.tr A-306 Office Phone:488-9882 INTRODUCTION TO DIGITAL LOGIC Levent EREN levent.eren@ieu.edu.tr A-306 Office Phone:488-9882 1 Number Systems Representation Positive radix, positional number systems A number with radix r is represented by a string of digits: A n

More information

Activity 1: Bits and Bytes

Activity 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 information

198:211 Computer Architecture

198:211 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 information

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

MULTIPLE 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 information

Numbering Systems. InThisAppendix...

Numbering 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 information

The use of binary codes to represent characters

The use of binary codes to represent characters The use of binary codes to represent characters Teacher s Notes Lesson Plan x Length 60 mins Specification Link 2.1.4/hi Character Learning objective (a) Explain the use of binary codes to represent characters

More information

Number Systems, Base Conversions, and Computer Data Representation

Number Systems, Base Conversions, and Computer Data Representation , Base Conversions, and Computer Data Representation Decimal and Binary Numbers When we write decimal (base 10) numbers, we use a positional notation system. Each digit is multiplied by an appropriate

More information

Solution for Homework 2

Solution for Homework 2 Solution for Homework 2 Problem 1 a. What is the minimum number of bits that are required to uniquely represent the characters of English alphabet? (Consider upper case characters alone) The number of

More information

Oct: 50 8 = 6 (r = 2) 6 8 = 0 (r = 6) Writing the remainders in reverse order we get: (50) 10 = (62) 8

Oct: 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 information

Binary Representation. Number Systems. Base 10, Base 2, Base 16. Positional Notation. Conversion of Any Base to Decimal.

Binary 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 information

Character Codes for Modern Computers

Character Codes for Modern Computers Character Codes for Modern Computers This lecture covers the standard ways in which characters are stored in modern computers. There are five main classes of characters. 1. Alphabetic characters: upper

More information

plc numbers - 13.1 Encoded values; BCD and ASCII Error detection; parity, gray code and checksums

plc 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 information

CSI 333 Lecture 1 Number Systems

CSI 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 information

Chapter 1: Digital Systems and Binary Numbers

Chapter 1: Digital Systems and Binary Numbers Chapter 1: Digital Systems and Binary Numbers Digital age and information age Digital computers general purposes many scientific, industrial and commercial applications Digital systems telephone switching

More information

Lecture 11: Number Systems

Lecture 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 information

EE 261 Introduction to Logic Circuits. Module #2 Number Systems

EE 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 information

Digital 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 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 information

Binary, Hexadecimal, Octal, and BCD Numbers

Binary, 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 information

Useful Number Systems

Useful 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 information

Machine Architecture and Number Systems. Major Computer Components. Schematic Diagram of a Computer. The CPU. The Bus. Main Memory.

Machine 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 information

Management Challenge. Managing Hardware Assets. Central Processing Unit. What is a Computer System?

Management Challenge. Managing Hardware Assets. Central Processing Unit. What is a Computer System? Management Challenge Managing Hardware Assets What computer processing and storage capability does our organization need to handle its information and business transactions? What arrangement of computers

More information

Counting in base 10, 2 and 16

Counting in base 10, 2 and 16 Counting in base 10, 2 and 16 1. Binary Numbers A super-important fact: (Nearly all) Computers store all information in the form of binary numbers. Numbers, characters, images, music files --- all of these

More information

Encoding Text with a Small Alphabet

Encoding Text with a Small Alphabet Chapter 2 Encoding Text with a Small Alphabet Given the nature of the Internet, we can break the process of understanding how information is transmitted into two components. First, we have to figure out

More information

Number Systems. Introduction / Number Systems

Number 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 information

Bachelors of Computer Application Programming Principle & Algorithm (BCA-S102T)

Bachelors of Computer Application Programming Principle & Algorithm (BCA-S102T) Unit- I Introduction to c Language: C is a general-purpose computer programming language developed between 1969 and 1973 by Dennis Ritchie at the Bell Telephone Laboratories for use with the Unix operating

More information

NUMBER SYSTEMS. 1.1 Introduction

NUMBER 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 information

DIGITAL FUNDAMENTALS lesson 4 Number systems

DIGITAL 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 information

The Essentials of Computer Organization and Architecture. Linda Null and Julia Lobur Jones and Bartlett Publishers, 2003

The Essentials of Computer Organization and Architecture. Linda Null and Julia Lobur Jones and Bartlett Publishers, 2003 The Essentials of Computer Organization and Architecture Linda Null and Julia Lobur Jones and Bartlett Publishers, 2003 Chapter 2 Instructor's Manual Chapter Objectives Chapter 2, Data Representation,

More information

Binary Representation

Binary 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 information

Everything 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 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 information

Base Conversion written by Cathy Saxton

Base 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 information

I PUC - Computer Science. Practical s Syllabus. Contents

I PUC - Computer Science. Practical s Syllabus. Contents I PUC - Computer Science Practical s Syllabus Contents Topics 1 Overview Of a Computer 1.1 Introduction 1.2 Functional Components of a computer (Working of each unit) 1.3 Evolution Of Computers 1.4 Generations

More information

Unsigned Conversions from Decimal or to Decimal and other Number Systems

Unsigned 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 information

Computers. Hardware. The Central Processing Unit (CPU) CMPT 125: Lecture 1: Understanding the Computer

Computers. Hardware. The Central Processing Unit (CPU) CMPT 125: Lecture 1: Understanding the Computer Computers CMPT 125: Lecture 1: Understanding the Computer Tamara Smyth, tamaras@cs.sfu.ca School of Computing Science, Simon Fraser University January 3, 2009 A computer performs 2 basic functions: 1.

More information

CS 16: Assembly Language Programming for the IBM PC and Compatibles

CS 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 information

Binary Numbers. Binary Octal Hexadecimal

Binary 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 information

DATA_TYPE Values and Data File Storage Formats

DATA_TYPE Values and Data File Storage Formats Chapter 3. DATA_TYPE Values and Data File Storage Formats 3-1 Chapter 3. DATA_TYPE Values and Data File Storage Formats Each PDS archived product is described using label objects that provide information

More information

The New IoT Standard: Any App for Any Device Using Any Data Format. Mike Weiner Product Manager, Omega DevCloud KORE Telematics

The New IoT Standard: Any App for Any Device Using Any Data Format. Mike Weiner Product Manager, Omega DevCloud KORE Telematics The New IoT Standard: Any App for Any Device Using Any Data Format Mike Weiner Product Manager, Omega DevCloud KORE Telematics About KORE The world s largest M2M/IoT services provider 12 Carriers Enterprise

More information

HOMEWORK # 2 SOLUTIO

HOMEWORK # 2 SOLUTIO HOMEWORK # 2 SOLUTIO Problem 1 (2 points) a. There are 313 characters in the Tamil language. If every character is to be encoded into a unique bit pattern, what is the minimum number of bits required to

More information

Digital Design. Assoc. Prof. Dr. Berna Örs Yalçın

Digital Design. Assoc. Prof. Dr. Berna Örs Yalçın Digital Design Assoc. Prof. Dr. Berna Örs Yalçın Istanbul Technical University Faculty of Electrical and Electronics Engineering Office Number: 2318 E-mail: siddika.ors@itu.edu.tr Grading 1st Midterm -

More information

Numeral Systems. The number twenty-five can be represented in many ways: Decimal system (base 10): 25 Roman numerals:

Numeral Systems. The number twenty-five 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 information

Lecture 2. Binary and Hexadecimal Numbers

Lecture 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 information

CDA 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 CDA 3200 Digital Systems Instructor: Dr. Janusz Zalewski Developed by: Dr. Dahai Guo Spring 2012 Outline Data Representation Binary Codes Why 6-3-1-1 and Excess-3? Data Representation (1/2) Each numbering

More information

Bits and Bytes. Computer Literacy Lecture 4 29/09/2008

Bits and Bytes. Computer Literacy Lecture 4 29/09/2008 Bits and Bytes Computer Literacy Lecture 4 29/09/2008 Lecture Overview Lecture Topics How computers encode information How to quantify information and memory How to represent and communicate binary data

More information

Binary. ! You are probably familiar with decimal

Binary. ! You are probably familiar with decimal Arithmetic operations in assembly language Prof. Gustavo Alonso Computer Science Department ETH Zürich alonso@inf.ethz.ch http://www.inf.ethz.ch/department/is/iks/ Binary! You are probably familiar with

More information

Computer Science 281 Binary and Hexadecimal Review

Computer 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 information

Binary math. Resources and methods for learning about these subjects (list a few here, in preparation for your research):

Binary 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 information

ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, OAKLAND UNIVERSITY ECE-470/570: Microprocessor-Based System Design Fall 2014.

ELECTRICAL AND COMPUTER ENGINEERING DEPARTMENT, OAKLAND UNIVERSITY ECE-470/570: Microprocessor-Based 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 information

ASCII Code. Numerous codes were invented, including Émile Baudot's code (known as Baudot

ASCII Code. Numerous codes were invented, including Émile Baudot's code (known as Baudot ASCII Code Data coding Morse code was the first code used for long-distance communication. Samuel F.B. Morse invented it in 1844. This code is made up of dots and dashes (a sort of binary code). It was

More information

Chapter 7 Lab - Decimal, Binary, Octal, Hexadecimal Numbering Systems

Chapter 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 information

Digital Logic Design. Introduction

Digital Logic Design. Introduction Digital Logic Design Introduction A digital computer stores data in terms of digits (numbers) and proceeds in discrete steps from one state to the next. The states of a digital computer typically involve

More information

NUMBER SYSTEMS TUTORIAL

NUMBER SYSTEMS TUTORIAL NUMBER SYSTEMS TUTORIAL Courtesy of: thevbprogrammer.com Number Systems Concepts The study of number systems is useful to the student of computing due to the fact that number systems other than the familiar

More information

Binary 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. 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 information

Bits, bytes, and representation of information

Bits, bytes, and representation of information Bits, bytes, and representation of information digital representation means that everything is represented by numbers only the usual sequence: something (sound, pictures, text, instructions,...) is converted

More information

Lecture 4 Representing Data on the Computer. Ramani Duraiswami AMSC/CMSC 662 Fall 2009

Lecture 4 Representing Data on the Computer. Ramani Duraiswami AMSC/CMSC 662 Fall 2009 Lecture 4 Representing Data on the Computer Ramani Duraiswami AMSC/CMSC 662 Fall 2009 x = ±(1+f) 2 e 0 f < 1 f = (integer < 2 52 )/ 2 52-1022 e 1023 e = integer Effects of floating point Effects of floating

More information

The programming language C. sws1 1

The programming language C. sws1 1 The programming language C sws1 1 The programming language C invented by Dennis Ritchie in early 1970s who used it to write the first Hello World program C was used to write UNIX Standardised as K&C (Kernighan

More information

Section 1.4 Place Value Systems of Numeration in Other Bases

Section 1.4 Place Value Systems of Numeration in Other Bases Section.4 Place Value Systems of Numeration in Other Bases Other Bases The Hindu-Arabic system that is used in most of the world today is a positional value system with a base of ten. The simplest reason

More information

This 3-digit ASCII string could also be calculated as n = (Data[2]-0x30) +10*((Data[1]-0x30)+10*(Data[0]-0x30));

This 3-digit ASCII string could also be calculated as n = (Data[2]-0x30) +10*((Data[1]-0x30)+10*(Data[0]-0x30)); Introduction to Embedded Microcomputer Systems Lecture 5.1 2.9. Conversions ASCII to binary n = 100*(Data[0]-0x30) + 10*(Data[1]-0x30) + (Data[2]-0x30); This 3-digit ASCII string could also be calculated

More information

COMPSCI 210. Binary Fractions. Agenda & Reading

COMPSCI 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 information

Introduction to Computer Science

Introduction to Computer Science Introduction to Computer Science 11/17/2008 1. (5%) How many bytes of memory are needed to store a full screen of data if the screen is made of 48 lines with 80 characteristics in each line? The system

More information

NUMBER SYSTEMS. William Stallings

NUMBER 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 information

Preservation Handbook

Preservation Handbook Preservation Handbook Plain text Author Version 2 Date 17.08.05 Change History Martin Wynne and Stuart Yeates Written by MW 2004. Revised by SY May 2005. Revised by MW August 2005. Page 1 of 7 File: presplaintext_d2.doc

More information

STUDY GUIDE CHAPTER 1

STUDY GUIDE CHAPTER 1 STUDY GUIDE CHAPTER 1 True/False Indicate whether the statement is true or false. 1. Digital technology has made it easy to produce copies of music with no loss of quality from the original. 2. Free source

More information

INTRODUCTION TO FLOWCHARTING

INTRODUCTION TO FLOWCHARTING CHAPTER 1 INTRODUCTION TO FLOWCHARTING 1.0 Objectives 1.1 Introduction 1.2 Flowcharts 1.3 Types of Flowcharts 1.3.1 Types of flowchart 1.3.2 System flowcharts 1.4 Flowchart Symbols 1.5 Advantages of Flowcharts

More information

Decimal Numbers: Base 10 Integer Numbers & Arithmetic

Decimal Numbers: Base 10 Integer Numbers & Arithmetic Decimal Numbers: Base 10 Integer Numbers & Arithmetic Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Example: 3271 = (3x10 3 ) + (2x10 2 ) + (7x10 1 )+(1x10 0 ) Ward 1 Ward 2 Numbers: positional notation Number

More information

2010/9/19. Binary number system. Binary numbers. Outline. Binary to decimal

2010/9/19. 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 base-2 Binary numbers 2 3 + 7 + 5 Some terminology Bit: a binary digit ( or ) Hexadecimal

More information

Intel Hexadecimal Object File Format Specification Revision A, 1/6/88

Intel Hexadecimal Object File Format Specification Revision A, 1/6/88 Intel Hexadecimal Object File Format Specification Revision A, 1/6/88 DISCLAIMER Intel makes no representation or warranties with respect to the contents hereof and specifically disclaims any implied warranties

More information

2 Number Systems. Source: Foundations of Computer Science Cengage Learning. Objectives After studying this chapter, the student should be able to:

2 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 information

Chapter Binary, Octal, Decimal, and Hexadecimal Calculations

Chapter 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 information

Number Conversions Dr. Sarita Agarwal (Acharya Narendra Dev College,University of Delhi)

Number 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 information

2014 HSC Software Design and Development Marking Guidelines

2014 HSC Software Design and Development Marking Guidelines 014 HSC Software Design and Development Marking Guidelines Section I Multiple-choice Answer Key Question Answer 1 B A A 4 D 5 A 6 D 7 A 8 B 9 C 10 D 11 B 1 B 1 A 14 A 15 B 16 D 17 C 18 C 19 D 0 D 1 Section

More information

Number and codes in digital systems

Number and codes in digital systems Number and codes in digital systems Decimal Numbers You are familiar with the decimal number system because you use them everyday. But their weighted structure is not understood. In the decimal number

More information

Chapter 6. Inside the System Unit. What You Will Learn... Computers Are Your Future. What You Will Learn... Describing Hardware Performance

Chapter 6. Inside the System Unit. What You Will Learn... Computers Are Your Future. What You Will Learn... Describing Hardware Performance What You Will Learn... Computers Are Your Future Chapter 6 Understand how computers represent data Understand the measurements used to describe data transfer rates and data storage capacity List the components

More information

Multiple Choice Questions(Computer)

Multiple Choice Questions(Computer) Multiple Choice Questions(Computer) 1. Which of the following is the product of data processing a. information b. data c. software program d. system 2. The process of putting data into a location is called

More information

THE BINARY NUMBER SYSTEM

THE 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 information

To convert an arbitrary power of 2 into its English equivalent, remember the rules of exponential arithmetic:

To convert an arbitrary power of 2 into its English equivalent, remember the rules of exponential arithmetic: Binary Numbers In computer science we deal almost exclusively with binary numbers. it will be very helpful to memorize some binary constants and their decimal and English equivalents. By English equivalents

More information

Chapter 5. Binary, octal and hexadecimal numbers

Chapter 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 information

CS321. Introduction to Numerical Methods

CS321. 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 40506-0633 August 7, 05 Number in

More information

= Chapter 1. The Binary Number System. 1.1 Why Binary?

= Chapter 1. The Binary Number System. 1.1 Why Binary? Chapter 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-0 system. When you

More information

Chapter 3: Computer Hardware Components: CPU, Memory, and I/O

Chapter 3: Computer Hardware Components: CPU, Memory, and I/O Chapter 3: Computer Hardware Components: CPU, Memory, and I/O What is the typical configuration of a computer sold today? The Computer Continuum 1-1 Computer Hardware Components In this chapter: How did

More information

Digital codes. Resources and methods for learning about these subjects (list a few here, in preparation for your research):

Digital codes. Resources and methods for learning about these subjects (list a few here, in preparation for your research): Digital codes 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 information

Lecture 03 Bits, Bytes and Data Types

Lecture 03 Bits, Bytes and Data Types Lecture 03 Bits, Bytes and Data Types In this lecture Computer Languages Assembly Language The compiler Operating system Data and program instructions Bits, Bytes and Data Types ASCII table Data Types

More information

1. Give the 16 bit signed (twos complement) representation of the following decimal numbers, and convert to hexadecimal:

1. 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 information

2 Number Systems 2.1. Foundations of Computer Science Cengage Learning

2 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 information

CHAPTER 2: HARDWARE BASICS: INSIDE THE BOX

CHAPTER 2: HARDWARE BASICS: INSIDE THE BOX CHAPTER 2: HARDWARE BASICS: INSIDE THE BOX Multiple Choice: 1. Processing information involves: A. accepting information from the outside world. B. communication with another computer. C. performing arithmetic

More information

COMBINATIONAL CIRCUITS

COMBINATIONAL CIRCUITS COMBINATIONAL CIRCUITS http://www.tutorialspoint.com/computer_logical_organization/combinational_circuits.htm Copyright tutorialspoint.com Combinational circuit is a circuit in which we combine the different

More information

2 COMPUTER ORGANISATION

2 COMPUTER ORGANISATION 2 COMPUTER ORGANISATION 2.1 INTRODUCTION In the previous lesson we discussed about the evolution of computer. In this lesson we will provide you with an overview of the basic design of a computer. You

More information

Hexadecimal Object File Format Specification

Hexadecimal Object File Format Specification Hexadecimal Object File Format Specification Revision A January 6, 1988 This specification is provided "as is" with no warranties whatsoever, including any warranty of merchantability, noninfringement,

More information

Computer Systems. Computer Systems COMP1208. Objectives of the Module. Course Assessment. Reading List. What will you need

Computer Systems. Computer Systems COMP1208. Objectives of the Module. Course Assessment. Reading List. What will you need Computer Systems Computer Systems Lecturer: Ruth Coffey Room KE-4-027, email: ruth.coffey@dit.ie Today s Lecture >> Module Overview Objectives of Module Course Assessment Reading List Introduction to Computer

More information

COWLEY COLLEGE & Area Vocational Technical School

COWLEY COLLEGE & Area Vocational Technical School COWLEY COLLEGE & Area Vocational Technical School COURSE PROCEDURE FOR COBOL PROGRAMMING CIS1866 3 Credit Hours Student Level: This course is open to students on the college level in either Freshman or

More information

Goals. 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

Goals. 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 information

Chapter 1. Binary, octal and hexadecimal numbers

Chapter 1. Binary, octal and hexadecimal numbers Chapter 1. Binary, octal and hexadecimal numbers This material is covered in the books: Nelson Magor Cooke et al, Basic mathematics for electronics (7th edition), Glencoe, Lake Forest, Ill., 1992. [Hamilton

More information