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Mithilesh Kumar Dubey, Lovely Professional University           Unit 2: Introduction to Data Representations



                                                                                                       Notes

                         Unit 2: Introduction to Data Representations





                  CONTENTS

                  Objectives
                  Introduction
                   2.1 Data Representations
                       2.1.1 Binary Number System
                       2.1.2 Octal Number System
                       2.1.3 Hexadecimal Number System

                   2.2 Converting from One Number System to Another
                       2.2.1 Converting from Another Base to Decimal
                       2.2.2 Converting from Decimal to Another Base (Division-Remainder Technique)
                       2.2.3 Converting from a Base Other Than 10 to Another Base Other Than 10

                       2.2.4 Shortcut Method for Octal to Binary Conversion
                       2.2.5 Shortcut Method for Binary to Hexadecimal Conversion
                       2.2.6 Shortcut Method for Hexadecimal to Binary Conversion
                    2.3  Summary
                    2.4  Keywords

                    2.5  Self-Assessment Questions
                    2.6  Review Questions
                    2.7  Further Readings



                 Objectives

                 After studying this unit, you will be able to:

                   • Understand the concept of Data representation in binary number, Octal number and
                      Hexadecimal number system
                   • Discussed how to concert are number system to another
                   • Explain the short cut method for octal to binary conversion, Binary to Hexadecimal
                      Conversion and Hexadecimal to Binary Conversion.

                 Introduction

                 While  the basic memory unit in a digital computer is the bit, holding a value of 1 or 0,
                 or equivalently ON or OFF, most information of interest to the user requires more than
                 a simple bi-valued representation. Thus, it is practical to form groups of bits, each consisting
                 of some carefully chosen number of bits, and design the computer hardware to deal with
                 these groups as complete units. In modern computers the most basic group consists of 8




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