Number Systems. TA: Mamun. References: Lecture notes of Introduction to Information Technologies (ITEC 1011) by Dr Scott MacKenzie
|
|
- Wilfrid Ramsey
- 5 years ago
- Views:
Transcription
1 Number Systems TA: Mamun References: Lecture notes of Introduction to Information Technologies (ITEC 1011) by Dr Scott MacKenzie
2 Common Number Systems System Base Symbols Decimal 10 0, 1, 9 Binary 2 0, 1 Octal 8 0, 1, , 1, 9, A, B, F
3 Counting Decimal Binary Octal Decimal Binary Octal A B C D E F
4 Counting Decimal Binary Octal =? = = 30 8 = 18 16
5 Decimal to Decimal Decimal Octal Binary
6 =>? 10 - Multiply each bit by 10 n, where n is the weight of the bit - The weight is the position of the bit, starting from 0 on the right Weight => 5 x 10 0 = 5 2 x 10 1 = 20 1 x 10 2 = Add the results Base
7 Binary to Decimal Decimal Octal Binary
8 Binary to Decimal Technique 1. Multiply each bit by 2 n, where n is the weight of the bit 2. The weight is the position of the bit, starting from 0 on the right 3. Add the results
9 =>? => 1 x 2 0 = 1 1 x 2 1 = 2 0 x 2 2 = 0 1 x 2 3 = 8 0 x 2 4 = 0 1 x 2 5 =
10 Octal to Decimal Decimal Octal Binary
11 Octal to Decimal Technique 1. Multiply each bit by 8 n, where n is the weight of the bit 2. The weight is the position of the bit, starting from 0 on the right 3. Add the results
12 724 8 =>? => 4 x 8 0 = 4 2 x 8 1 = 16 7 x 8 2 =
13 to Decimal Decimal Octal Binary
14 to Decimal Technique 1. Multiply each bit by 16 n, where n is the weight of the bit 2. The weight is the position of the bit, starting from 0 on the right 3. Add the results
15 ABC 16 =>? 10 Decimal Binary Octal A B C D E F ABC 16 => C x 16 0 = 12 x 1 = 12 B x 16 1 = 11 x 16 = 176 A x 16 2 = 10 x 256 =
16 Decimal to Binary Decimal Octal Binary
17 Decimal to Binary Technique 1. Divide by 2, keep track of the remainder 2. First remainder is LSB, least-significant bit 3. Last remainder is MSB, most-significant bit
18 =? =
19 Decimal to Octal Decimal Octal Binary
20 Decimal to Octal Technique 1. Divide by 8 2. Keep track of the remainder
21 =? =
22 Decimal to Decimal Octal Binary
23 Decimal to Technique 1. Divide by Keep track of the remainder
24 =? = D = 4D2 16
25 Any base to any base Base-x Base-y
26 Any base to any base Technique 1. Use Decimal as an intermediary Base-x Base-y Decimal
27 432 4 =? =>? 10 =>? => 2 x = 2 3 x = 12 4 x 4 2 = = = 141 7
28 Conversion Among Bases Division algorithm Base-y Decimal Octal Base-x Binary
29 Octal to Binary Decimal Octal Binary
30 Octal to Binary Technique Convert each octal digit to a 3-bit equivalent binary representation
31 705 8 =? 2 Decimal Binary Octal =
32 to Binary Decimal Octal Binary
33 to Binary Technique Convert each hexadecimal digit to a 4-bit equivalent binary representation
34 10AF 16 =? 2 Decimal Binary Octal A B C D E F 1 0 A F AF 16 =
35 Binary to Octal Technique 1. Group bits in threes, starting on right 2. Convert to octal digits
36 =? 8 Decimal Binary Octal =
37 Binary to Decimal Octal Binary
38 Binary to Technique 1. Group bits in fours, starting on right 2. Convert to hexadecimal digits
39 =? 16 Decimal Binary Octal A B C D E F B B = 2BB 16
40 Octal to Decimal Octal Binary
41 Octal to Technique Use binary as an intermediary
42 =? Decimal Binary Octal A B C D E F E = 23E 16
43 to Octal Decimal Octal Binary
44 to Octal Technique Use binary as an intermediary
45 1F0C 16 =? 8 Decimal Binary Octal A B C D E F 1 F 0 C F0C 16 =
46 Conversion Among Bases Short-cut Octal Binary
47 Questions? Next tutorial ASCII UTF-8 Floating-point arithmetic
ITEC 1011 Introduction to Information Technologies
Number Systems Common Number Systems System Base Symbols Used by humans? Used in computers? Decimal 10 0, 1, 9 Yes No Binary 2 0, 1 No Yes Octal 8 0, 1, 7 No No Hexadecimal 16 0, 1, 9, A, B, F No No Quantities/Counting
More informationCommon Number Systems
Common Number Systems System Base Symbols Used by humans? Used in computers? Decimal 10 0, 1, 9 Yes No Binary 2 0, 1 No Yes Octal 8 0, 1, 7 No No Hexadecimal 16 0, 1, 9, A, B, F No No Quantities/Counting
More informationCollege of Computer and Information Sciences Department of Computer Science. CSC 220: Computer Organization. Unit1 Number Systems
College of Computer and Information Sciences Department of Computer Science CSC 220: Computer Organization Unit1 Number Systems Common Number Systems System Base Symbols Used by humans? Used in computers?
More informationOctal & Hexadecimal Number Systems. Digital Electronics
Octal & Hexadecimal Number Systems Digital Electronics What, More Number Systems? Why do we need more number systems? Humans understand decimal Check out my ten digits! Digital electronics (computers)
More informationCOE 202- Digital Logic. Number Systems II. Dr. Abdulaziz Y. Barnawi COE Department KFUPM. January 23, Abdulaziz Barnawi. COE 202 Logic Design
1 COE 0- Digital Logic Number Systems II Dr. Abdulaziz Y. Barnawi COE Department KFUPM COE 0 Logic Design January 3, 016 Objectives Base Conversion Decimal to other bases Binary to Octal and Hexadecimal
More informationCOE 202: Digital Logic Design Number Systems Part 2. Dr. Ahmad Almulhem ahmadsm AT kfupm Phone: Office:
COE 0: Digital Logic Design Number Systems Part Dr. Ahmad Almulhem Email: ahmadsm AT kfupm Phone: 860-7554 Office: -34 Objectives Arithmetic operations: Binary number system Other number systems Base Conversion
More informationCMPE223/CMSE222 Digital Logic Design. Positional representation
CMPE223/CMSE222 Digital Logic Design Number Representation and Arithmetic Circuits: Number Representation and Unsigned Addition Positional representation First consider integers Begin with positive only
More informationCOMP Overview of Tutorial #2
COMP 1402 Winter 2008 Tutorial #2 Overview of Tutorial #2 Number representation basics Binary conversions Octal conversions Hexadecimal conversions Signed numbers (signed magnitude, one s and two s complement,
More informationTOPICS. Other Number Systems. Other Number Systems 9/9/2017. Octal Hexadecimal Number conversion
Topic : Introduction To computers Faculty : Department of commerce and Management BY: Prof.Meeta R. Gujarathi E mail: meetargujarathi@gmail.com Octal Hexadecimal Number conversion TOPICS Other Number Systems
More informationPositional notation Ch Conversions between Decimal and Binary. /continued. Binary to Decimal
Positional notation Ch.. /continued Conversions between Decimal and Binary Binary to Decimal - use the definition of a number in a positional number system with base - evaluate the definition formula using
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 informationLOGIC DESIGN. Dr. Mahmoud Abo_elfetouh
LOGIC DESIGN Dr. Mahmoud Abo_elfetouh Course objectives This course provides you with a basic understanding of what digital devices are, how they operate, and how they can be designed to perform useful
More informationBINARY SYSTEM. Binary system is used in digital systems because it is:
CHAPTER 2 CHAPTER CONTENTS 2.1 Binary System 2.2 Binary Arithmetic Operation 2.3 Signed & Unsigned Numbers 2.4 Arithmetic Operations of Signed Numbers 2.5 Hexadecimal Number System 2.6 Octal Number System
More informationChapter 3 DATA REPRESENTATION
Page1 Chapter 3 DATA REPRESENTATION Digital Number Systems In digital systems like computers, the quantities are represented by symbols called digits. Many number systems are in use in digital technology
More informationCHW 261: Logic Design
CHW 261: Logic Design Instructors: Prof. Hala Zayed Dr. Ahmed Shalaby http://www.bu.edu.eg/staff/halazayed14 http://bu.edu.eg/staff/ahmedshalaby14# Slide 1 Slide 2 Slide 3 Digital Fundamentals CHAPTER
More informationDigital Fundamentals
Digital Fundamentals Tenth Edition Floyd Chapter 2 2009 Pearson Education, Upper 2008 Pearson Saddle River, Education NJ 07458. All Rights Reserved Decimal Numbers The position of each digit in a weighted
More informationT02 Tutorial Slides for Week 2
T02 Tutorial Slides for Week 2 ENEL 353: Digital Circuits Fall 2017 Term Steve Norman, PhD, PEng Electrical & Computer Engineering Schulich School of Engineering University of Calgary 19 September, 2017
More informationConversion Between Number Bases
Conversion Between Number Bases MATH 100 Survey of Mathematical Ideas J. Robert Buchanan Department of Mathematics Summer 2018 General Number Bases Bases other than 10 are sometimes used in numeration
More informationNumber Systems and Conversions UNIT 1 NUMBER SYSTEMS & CONVERSIONS. Number Systems (2/2) Number Systems (1/2) Iris Hui-Ru Jiang Spring 2010
Contents Number systems and conversion Binary arithmetic Representation of negative numbers Addition of two s complement numbers Addition of one s complement numbers Binary s Readings Unit.~. UNIT NUMBER
More informationFundamentals of Programming
Fundamentals of Programming Lecture 2 Number Systems & Arithmetic Lecturer : Ebrahim Jahandar Some Parts borrowed from slides by IETC1011-Yourk University Common Number Systems System Base Symbols Used
More informationDATA REPRESENTATION. By- Neha Tyagi PGT CS KV 5 Jaipur II Shift, Jaipur Region. Based on CBSE curriculum Class 11. Neha Tyagi, KV 5 Jaipur II Shift
DATA REPRESENTATION Based on CBSE curriculum Class 11 By- Neha Tyagi PGT CS KV 5 Jaipur II Shift, Jaipur Region Neha Tyagi, KV 5 Jaipur II Shift Introduction As we know that computer system stores any
More informationHomework 1 graded and returned in class today. Solutions posted online. Request regrades by next class period. Question 10 treated as extra credit
Announcements Homework 1 graded and returned in class today. Solutions posted online. Request regrades by next class period. Question 10 treated as extra credit Quiz 2 Monday on Number System Conversions
More informationMACHINE LEVEL REPRESENTATION OF DATA
MACHINE LEVEL REPRESENTATION OF DATA CHAPTER 2 1 Objectives Understand how integers and fractional numbers are represented in binary Explore the relationship between decimal number system and number systems
More informationDigital Logic Lecture 2 Number Systems
Digital Logic Lecture 2 Number Systems By Ghada Al-Mashaqbeh The Hashemite University Computer Engineering Department Outline Introduction. Basic definitions. Number systems types. Conversion between different
More informationMoodle WILLINGDON COLLEGE SANGLI. ELECTRONICS (B. Sc.-I) Introduction to Number System
Moodle 1 WILLINGDON COLLEGE SANGLI ELECTRONICS (B. Sc.-I) Introduction to Number System E L E C T R O N I C S Introduction to Number System and Codes Moodle developed By Dr. S. R. Kumbhar Department of
More informationNumber Systems and Binary Arithmetic. Quantitative Analysis II Professor Bob Orr
Number Systems and Binary Arithmetic Quantitative Analysis II Professor Bob Orr Introduction to Numbering Systems We are all familiar with the decimal number system (Base 10). Some other number systems
More informationNumber representations
Number representations Number bases Three number bases are of interest: Binary, Octal and Hexadecimal. We look briefly at conversions among them and between each of them and decimal. Binary Base-two, or
More informationDigital Systems COE 202. Digital Logic Design. Dr. Muhamed Mudawar King Fahd University of Petroleum and Minerals
Digital Systems COE 202 Digital Logic Design Dr. Muhamed Mudawar King Fahd University of Petroleum and Minerals Welcome to COE 202 Course Webpage: http://faculty.kfupm.edu.sa/coe/mudawar/coe202/ Lecture
More informationCHAPTER 2 (b) : AND CODES
DKT 122 / 3 DIGITAL SYSTEMS 1 CHAPTER 2 (b) : NUMBER SYSTEMS OPERATION AND CODES m.rizal@unimap.edu.my sitizarina@unimap.edu.my DECIMAL VALUE OF SIGNED NUMBERS SIGN-MAGNITUDE: Decimal values of +ve & -ve
More informationLecture (01) Digital Systems and Binary Numbers By: Dr. Ahmed ElShafee
١ Lecture (01) Digital Systems and Binary Numbers By: Dr. Ahmed ElShafee Digital systems Digital systems are used in communication, business transactions, traffic control, spacecraft guidance, medical
More informationSwitching Circuits and Logic Design Prof. Indranil Sengupta Department of Computer Science and Engineering Indian Institute of Technology, Kharagpur
Switching Circuits and Logic Design Prof. Indranil Sengupta Department of Computer Science and Engineering Indian Institute of Technology, Kharagpur Lecture - 02 Octal and Hexadecimal Number Systems Welcome
More informationDigital Fundamentals. CHAPTER 2 Number Systems, Operations, and Codes
Digital Fundamentals CHAPTER 2 Number Systems, Operations, and Codes Decimal Numbers The decimal number system has ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 The decimal numbering system has a base of
More informationNumber Systems. Dr. Tarek A. Tutunji Philadelphia University, Jordan
Number Systems Dr. Tarek A. Tutunji Philadelphia University, Jordan Number Systems Programmable controllers use binary numbers in one form or another to represent various codes and quantities. Every number
More informationComputer Arithmetic. Appendix A Fall 2003 Lec.03-58
Computer Arithmetic Appendix A 18-347 Fall 2003 Lec.03-58 Intro Computer Arithmetic Computers use the binary system Easy to implement in electronics: 1 is 1V, 0 is 0V Easy to implement with switches (transistors!)
More informationData Representation and Binary Arithmetic. Lecture 2
Data Representation and Binary Arithmetic Lecture 2 Computer Data Data is stored as binary; 0 s and 1 s Because two-state ( 0 & 1 ) logic elements can be manufactured easily Bit: binary digit (smallest
More informationTOPIC: NUMBER SYSTEMS
Ministry of Secondary Education Progressive Comprehensive High School PCHS Mankon Bamenda Department of Computer Studies Republic of Cameroon Peace Work - Fatherland TOPIC: NUMBER SYSTEMS Class: Comp.
More informationChapter 2 Number Systems and Codes Dr. Xu
Chapter 2 Number Systems and Codes Dr. Xu Chapter 2 Objectives Selected areas covered in this chapter: Converting between number systems. Decimal, binary, hexadecimal. Advantages of the hexadecimal number
More informationLecture 1: Digital Systems and Number Systems
Lecture 1: Digital Systems and Number Systems Matthew Shuman September 26th, 2012 The Digital Abstraction 1.3 in Text Analog Systems Analog systems are continuous. Look at the analog clock in figure 1.
More informationUNIT1: COMPUTERNUMBER SYSTEM
UNIT1: COMPUTERNUMBER SYSTEM Binary,Decimal, Octal and Hexadecimal Number-Base Conversions Addition, Subtraction and Multiplication of Computer Number System Compliment (1 s, 2's and r s complement) Signed
More informationumber Systems bit nibble byte word binary decimal
umber Systems Inside today s computers, data is represented as 1 s and 0 s. These 1 s and 0 s might be stored magnetically on a disk, or as a state in a transistor. To perform useful operations on these
More informationChapter 2 Binary Values and Number Systems
Chapter 2 Binary Values and Number Systems Chapter Goals 10 進位 2 / 8 / 16 進位 進位系統間轉換 各進位系統小數表示 各進位系統加減法 各進位系統乘除法 2 24 6 Numbers Natural Numbers Zero and any number obtained by repeatedly adding one to
More informationDigital Computers and Machine Representation of Data
Digital Computers and Machine Representation of Data K. Cooper 1 1 Department of Mathematics Washington State University 2013 Computers Machine computation requires a few ingredients: 1 A means of representing
More informationDLD VIDYA SAGAR P. potharajuvidyasagar.wordpress.com. Vignana Bharathi Institute of Technology UNIT 1 DLD P VIDYA SAGAR
UNIT I Digital Systems: Binary Numbers, Octal, Hexa Decimal and other base numbers, Number base conversions, complements, signed binary numbers, Floating point number representation, binary codes, error
More informationdata within a computer system are stored in one of 2 physical states (hence the use of binary digits)
Binary Digits (bits) data within a computer system are stored in one of 2 physical states (hence the use of binary digits) 0V and 5V charge / NO charge on a transistor gate ferrite core magnetised clockwise
More informationBinary Codes. Dr. Mudathir A. Fagiri
Binary Codes Dr. Mudathir A. Fagiri Binary System The following are some of the technical terms used in binary system: Bit: It is the smallest unit of information used in a computer system. It can either
More informationNumbers!!...is that right? CSCI 255
Numbers!!...is that right? CSCI 255 BASE10 What do we know and use all the time? 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 zero through nine.decimals! Position matters too. 5874263 3 x 10 6 x 10 2 x 10 4 x 10 7 x 10
More informationTutorial for Chapter 3, 4
Eastern Mediterranean University School of Computing and Technology ITEC2 Computer Organization & Architecture Tutorial for Chapter 3, 4 Number Systems Binary Number Systems o Base = 2 o A single bit can
More informationLecture (01) Introduction Number Systems and Conversion (1)
Lecture (01) Introduction Number Systems and Conversion (1) By: Dr. Ahmed ElShafee ١ Digital systems Digital systems are used in communication, business transactions, traffic control, spacecraft guidance,
More informationNumber System. Introduction. Decimal Numbers
Number System Introduction Number systems provide the basis for all operations in information processing systems. In a number system the information is divided into a group of symbols; for example, 26
More informationLecture 2: Number Systems
Lecture 2: Number Systems Syed M. Mahmud, Ph.D ECE Department Wayne State University Original Source: Prof. Russell Tessier of University of Massachusetts Aby George of Wayne State University Contents
More informationData Representation COE 301. Computer Organization Prof. Muhamed Mudawar
Data Representation COE 30 Computer Organization Prof. Muhamed Mudawar College of Computer Sciences and Engineering King Fahd University of Petroleum and Minerals Presentation Outline Positional Number
More informationLECTURE 1-2. Introduction and Number Systems
LECTURE 1-2 Introduction and Number Systems 1 BASIC INFORMATION Course Code: CSE 115 Course Title: Computing Concepts Course Teacher: Dr. Muhammad Asif H. Khan (Mfs), Associate Professor, Dept. of Computer
More informationNumber Systems and Their Representations
Number Representations Cptr280 Dr Curtis Nelson Number Systems and Their Representations In this presentation you will learn about: Representation of numbers in computers; Signed vs. unsigned numbers;
More informationBits. Binary Digits. 0 or 1
Data Representation Bits Binary Digits 0 or 1 Everything stored in a computer is stored as bits. Bits can mean different things depending on how the software or hardware interpret the bits Bits are usually
More informationKorea University of Technology and Education
MEC52 디지털공학 Binary Systems Jee-Hwan Ryu School of Mechanical Engineering Binary Numbers a 5 a 4 a 3 a 2 a a.a - a -2 a -3 base or radix = a n r n a n- r n-...a 2 r 2 a ra a - r - a -2 r -2...a -m r -m
More informationMicrocomputers. Outline. Number Systems and Digital Logic Review
Microcomputers Number Systems and Digital Logic Review Lecture 1-1 Outline Number systems and formats Common number systems Base Conversion Integer representation Signed integer representation Binary coded
More informationCS 261 Fall Binary Information (convert to hex) Mike Lam, Professor
CS 261 Fall 2018 Mike Lam, Professor 3735928559 (convert to hex) Binary Information Binary information Topics Base conversions (bin/dec/hex) Data sizes Byte ordering Character and program encodings Bitwise
More informationChapter (1) Eng. Mai Z. Alyazji
THE ISLAMIC UNIVERSITY OF GAZA ENGINEERING FACULTY DEPARTMENT OF COMPUTER ENGINEERING DIGITAL LOGIC DESIGN DISCUSSION ECOM 2012 Chapter (1) Eng. Mai Z. Alyazji September, 2016 1.1 List the octal and hexadecimal
More informationNumber Systems & Encoding
Number Systems & Encoding Lecturer: Sri Parameswaran Author: Hui Annie Guo Modified: Sri Parameswaran Week2 1 Lecture overview Basics of computing with digital systems Binary numbers Floating point numbers
More informationNumbering systems. Dr Abu Arqoub
Numbering systems The decimal numbering system is widely used, because the people Accustomed (معتاد) to use the hand fingers in their counting. But with the development of the computer science another
More informationAgenda EE 224: INTRODUCTION TO DIGITAL CIRCUITS & COMPUTER DESIGN. Lecture 1: Introduction. Go over the syllabus 3/31/2010
// EE : INTRODUCTION TO DIGITAL CIRCUITS & COMPUTER DESIGN Lecture : Introduction /9/ Avinash Kodi, kodi@ohio.edu Agenda Go over the syllabus Introduction ti to Digital it Systems // Why Digital Systems?
More informationSE311: Design of Digital Systems
SE311: Design of Digital Systems Lecture 3: Complements and Binary arithmetic Dr. Samir Al-Amer (Term 041) SE311_Lec3 (c) 2004 AL-AMER ١ Outlines Complements Signed Numbers Representations Arithmetic Binary
More informationBeginning C Programming for Engineers
Beginning Programming for Engineers R. Lindsay Todd Lecture 6: Bit Operations R. Lindsay Todd () Beginning Programming for Engineers Beg 6 1 / 32 Outline Outline 1 Place Value Octal Hexadecimal Binary
More informationCS & IT Conversions. Magnitude 10,000 1,
CS & IT Conversions There are several number systems that you will use when working with computers. These include decimal, binary, octal, and hexadecimal. Knowing how to convert between these number systems
More informationDigital Fundamentals
Digital Fundamentals Tenth Edition Floyd Chapter 1 Modified by Yuttapong Jiraraksopakun Floyd, Digital Fundamentals, 10 th 2008 Pearson Education ENE, KMUTT ed 2009 Analog Quantities Most natural quantities
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 informationCS321. Introduction to Numerical Methods
CS31 Introduction to Numerical Methods Lecture 1 Number Representations and Errors Professor Jun Zhang Department of Computer Science University of Kentucky Lexington, KY 40506 0633 August 5, 017 Number
More informationChapter 3: Number Systems and Codes. Textbook: Petruzella, Frank D., Programmable Logic Controllers. McGraw Hill Companies Inc.
Chapter 3: Number Systems and Codes Textbook: Petruzella, Frank D., Programmable Logic Controllers. McGraw Hill Companies Inc., 5 th edition Decimal System The radix or base of a number system determines
More informationHarry H. Porter, 2006
The SPARC Computer Architecture Harry Porter Portland State University 1 CS-321 Lexer Parser Type Checking Intermediate Code Generation All semantic error checking finished in this phase IR - Intermediate
More informationIntroduction to Computer Science (I1100) With 1 coin 2 possibilities: Head / Tail or 0/1
With 1 coin 2 possibilities: Head / Tail or 0/1 77 What if I have 2 coins?! 0 0 With 2 coins, I can have 4 possibilities 0 1 1 0 1 1 With 3 coins, I can have 2*2*2=8 possibilities With 4 coins, I can have
More informationInformation Science 1
Information Science 1 - Representa*on of Data in Memory- Week 03 College of Information Science and Engineering Ritsumeikan University Topics covered l Basic terms and concepts of The Structure of a Computer
More informationDecimal/Binary Conversion on the Soroban
Decimal/Binary Conversion on the Soroban Conversion of a whole number from decimal to binary This method uses successive divisions by two, in place, utilizing a simple right-to-left algorithm. The division
More informationOperators. Lecture 3 COP 3014 Spring January 16, 2018
Operators Lecture 3 COP 3014 Spring 2018 January 16, 2018 Operators Special built-in symbols that have functionality, and work on operands operand an input to an operator Arity - how many operands an operator
More informationCS 101: Computer Programming and Utilization
CS 101: Computer Programming and Utilization Jul-Nov 2017 Umesh Bellur (cs101@cse.iitb.ac.in) Lecture 3: Number Representa.ons Representing Numbers Digital Circuits can store and manipulate 0 s and 1 s.
More informationD I G I T A L C I R C U I T S E E
D I G I T A L C I R C U I T S E E Digital Circuits Basic Scope and Introduction This book covers theory solved examples and previous year gate question for following topics: Number system, Boolean algebra,
More informationNumber Systems CHAPTER Positional Number Systems
CHAPTER 2 Number Systems Inside computers, information is encoded as patterns of bits because it is easy to construct electronic circuits that exhibit the two alternative states, 0 and 1. The meaning of
More informationDecimal & Binary Representation Systems. Decimal & Binary Representation Systems
Decimal & Binary Representation Systems Decimal & binary are positional representation systems each position has a value: d*base i for example: 321 10 = 3*10 2 + 2*10 1 + 1*10 0 for example: 101000001
More informationStep Octal Number Binary Number Step Step
Binary Number: 101012 = Octal Number: 258 Shortcut method - Octal to Binary Steps Step 1 - Convert each octal digit to a 3 digit binary number (the octal digits may be treated as decimal for this conversion).
More informationChapter 2 Data Representations
Computer Engineering Chapter 2 Data Representations Hiroaki Kobayashi 4/21/2008 4/21/2008 1 Agenda in Chapter 2 Translation between binary numbers and decimal numbers Data Representations for Integers
More information1.3 Systems of numeration: To represent quantities in the different systems of numeration, specific symbols are used, which are also called ciphers.
Chapter One 1.1 Introduction: Numbers are used to express quantities. There are many numerations systems used in the field of digital electronics, one of the most important being the binary system of numeration
More informationLevel ISA3: Information Representation
Level ISA3: Information Representation 1 Information as electrical current At the lowest level, each storage unit in a computer s memory is equipped to contain either a high or low voltage signal Each
More informationObjectives. Connecting with Computer Science 2
Objectives Learn why numbering systems are important to understand Refresh your knowledge of powers of numbers Learn how numbering systems are used to count Understand the significance of positional value
More informationCourse Schedule. CS 221 Computer Architecture. Week 3: Plan. I. Hexadecimals and Character Representations. Hexadecimal Representation
Course Schedule CS 221 Computer Architecture Week 3: Information Representation (2) Fall 2001 W1 Sep 11- Sep 14 Introduction W2 Sep 18- Sep 21 Information Representation (1) (Chapter 3) W3 Sep 25- Sep
More informationComputer Sc. & IT. Digital Logic. Computer Sciencee & Information Technology. 20 Rank under AIR 100. Postal Correspondence
GATE Postal Correspondence Computer Sc. & IT 1 Digital Logic Computer Sciencee & Information Technology (CS) 20 Rank under AIR 100 Postal Correspondence Examination Oriented Theory, Practice Set Key concepts,
More informationOctal and Hexadecimal Integers
Octal and Hexadecimal Integers CS 350: Computer Organization & Assembler Language Programming A. Why? Octal and hexadecimal numbers are useful for abbreviating long bitstrings. Some operations on octal
More informationCMPS 10 Introduction to Computer Science Lecture Notes
CMPS Introduction to Computer Science Lecture Notes Binary Numbers Until now we have considered the Computing Agent that executes algorithms to be an abstract entity. Now we will be concerned with techniques
More informationChapter 1 Review of Number Systems
1.1 Introduction Chapter 1 Review of Number Systems Before the inception of digital computers, the only number system that was in common use is the decimal number system which has a total of 10 digits
More informationQUIZ: Generations of computer technology. Hardware:
QUIZ: Generations of computer technology Hardware: 1. 2. 3. 4. 5. 1 QUIZ: Generations of computer technology Software: 1. 2. 3. 4. 5. 6. 2 Steampunk! 3 The Telectroscope, 1878-2008 Steampunk Wikipedia
More informationDigital Fundamentals
Digital Fundamentals Tenth Edition Floyd Chapter 2 2009 Pearson Education, Upper 2008 Pearson Saddle River, Education NJ 07458. All Rights Reserved Quiz 2 Agenda Lecture: Chapter 2 (2-7 through 2-11):
More informationData Representations & Arithmetic Operations
Data Representations & Arithmetic Operations Hiroaki Kobayashi 7/13/2011 7/13/2011 Computer Science 1 Agenda Translation between binary numbers and decimal numbers Data Representations for Integers Negative
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 information1010 2?= ?= CS 64 Lecture 2 Data Representation. Decimal Numbers: Base 10. Reading: FLD Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9
CS 64 Lecture 2 Data Representation Reading: FLD 1.2-1.4 Decimal Numbers: Base 10 Digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 Example: 3271 = (3x10 3 ) + (2x10 2 ) + (7x10 1 ) + (1x10 0 ) 1010 10?= 1010 2?= 1
More informationin this web service Cambridge University Press
978-0-51-85748- - Switching and Finite Automata Theory, Third Edition Part 1 Preliminaries 978-0-51-85748- - Switching and Finite Automata Theory, Third Edition CHAPTER 1 Number systems and codes This
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 informationCourse Syllabus [1/2]
Course Syllabus [1/2] Instructor 逄愛君, acpang@csie.ntu.edu.tw Office Number: 417, Office Hour: 15:00~17:00 (Thursday) Textbook Assembly Language for Intel-Based Computers, Kip R. Irvine, Pearson Education,
More informationIntroduction to Numbering Systems
NUMBER SYSTEM Introduction to Numbering Systems We are all familiar with the decimal number system (Base 10). Some other number systems that we will work with are Binary Base 2 Octal Base 8 Hexadecimal
More informationRui Wang, Assistant professor Dept. of Information and Communication Tongji University.
Data Representation ti and Arithmetic for Computers Rui Wang, Assistant professor Dept. of Information and Communication Tongji University it Email: ruiwang@tongji.edu.cn Questions What do you know about
More informationIT 1204 Section 2.0. Data Representation and Arithmetic. 2009, University of Colombo School of Computing 1
IT 1204 Section 2.0 Data Representation and Arithmetic 2009, University of Colombo School of Computing 1 What is Analog and Digital The interpretation of an analog signal would correspond to a signal whose
More informationRelease 0.8. Multi-Purpose Light Unit Technical Reference Manual
Release 0.8 Multi-Purpose Light Unit Technical Reference Manual INTRODUCTION Introduction The Multi-Purpose Light unit is a multi-function DCC decoder that supports the following: DCC Characteristics 14
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 information