Ch. 3 Slides - 5/25/2010 CIS 3003 Fundamentals of...

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5/25/2010 1 CIS 3003 Fundamentals of Information Technology 1 Information Technology in Theory By Pelin Aksoy and Laura DeNardis Chapter 3 Representing Numbers and Text in Binary CIS 3003 Fundamentals of Information Technology 2 Objectives ± Understand the binary numbering system ± Mathematically convert numbers between decimal and binary ± Understand binary coded decimal (BCD) representation 2 Information Technology in Theory
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5/25/2010 2 CIS 3003 Fundamentals of Information Technology 3 Objectives (continued) ± Learn about alternative numbering systems such as Learn about alternative numbering systems such as octal and hexadecimal and explain their significance in information technology ± Provide real-world examples of binary and hexadecimal representation in information technology ± Convert alphanumeric text into binary 3 Information Technology in Theory CIS 3003 Fundamentals of Information Technology 4 What kinds of data do we need to represent? ² Numbers – signed, unsigned, integers, floating point, complex, rational, irrational, … ² Text – characters, strings, … ² Images – pixels, colors, shapes, … ² Sound ² Logical – true, false ² Instructions ² Information Technology in Theory 4 ± Data type: ² representation and operations within the computer ± We’ll start with numbers…
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5/25/2010 3 CIS 3003 Fundamentals of Information Technology 5 How do we represent data in a computer? ± At the lowest level, a computer is an electronic machine. ² works by controlling the flow of electrons ± Easy to recognize two conditions: 1. presence of a voltage – we’ll call this state “1” 2. absence of a voltage – we’ll call this state “0” ± Could base state on value of voltage, but control and detection circuits more complex Information Technology in Theory 5 but control and detection circuits more complex. ² compare turning on a light switch to measuring or regulating voltage CIS 3003 Fundamentals of Information Technology 6 Computer is a binary digital system. Binary (base two) system: • has two states: 0 and 1 Digital system: • finite number of symbols ± Basic unit of information is the binary digit , or bit . ± Values with more than two states require multiple bits. ² A collection of two bits has four possible states: Information Technology in Theory 6 00, 01, 10, 11 ² A collection of three bits has eight possible states: 000, 001, 010, 011, 100, 101, 110, 111 ² A collection of n bits has 2 n possible states.
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5/25/2010 4 CIS 3003 Fundamentals of Information Technology 7 The Binary Numbering System ± Any information can be represented in binary ± Binary is a code with two symbols, 0 and 1 ± To understand binary, it’s helpful to think about how the decimal system works 7 Information Technology in Theory CIS 3003 Fundamentals of Information Technology 8 Think About the Decimal System 8 Information Technology in Theory
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5/25/2010 5 CIS 3003 Fundamentals of Information Technology 9 Any number can be represented as power series for example : Think About the Decimal System N = (a 4 a 3 a 2 a 1 a 0 . a -1 a -2 a -3 ) R where R
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This note was uploaded on 10/05/2010 for the course CIS CIS 3003 taught by Professor K during the Spring '10 term at University of Central Florida.

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Ch. 3 Slides - 5/25/2010 CIS 3003 Fundamentals of...

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