Course Title: Microprocessor Systems Lecture Topic: Number Representation Instructor: Jun Peng Institution: UTPA Course Objectives Primary Objectives- By the next class period students will be able to: Convert numbers in different representations Sub Objectives- The objectives will require that students be able to: Understand the base of number representation Difficulties- Students may have difficulty: Using a system other than the commonly used decimal system used in everyday life. Real-World Contexts- There are many ways that students can use this material in the real-world, such as: Almost all data is in digital format now and this material will help students understand digital data. Model of Knowledge Concept Map Numbers Decimal numbers Other number systems such as binary and hexadecimal numbers The conversion between them Content Priorities Enduring Understanding Number representation. Important to Do and Know Convert numbers in different representations. Worth Being Familiar with Calculating in various number systems Assessment of Learning Formative Assessment In Class (groups) Quizzes Questions and answers. Homework (individual) Homework problems Summative Assessment Tests Labs OBJECTIVE By the next class period, students will be able to: Convert numbers in different representations The objectives will require that students be able to: Understand number representations THE CHALLENGE If you were a computer, how would you like the numbers to be represented? GENERATE IDEAS Ask students to play the role of a computer to do data storage and processing. MULTIPLE PERSPECTIVES Discuss students' ideas and "designs". RESEARCH & REVISE Explain how numbers are represented in computers and how they might be presented in different representations to human beings. TEST YOUR METTLE Give students quizzes on number representation and conversion. GO PUBLIC Give students tests. Ask students write a program to convert numbers in different representations. What is a decimal number? Why do we like decimal numbers? Why do computers like numbers with a base of 2? What does the base of a number system exactly mean? Convert decimal 18 to a binary number. Convert decimal 18 to a hexadecimal number. Convert hexadecimal AB to a decimal number. Convert hexadecimal AB to a binary number. Add two hexadecimal numbers AB and CD. What is ABH in decimal if it represents a 2's complement binary number? Why do computers like 2's complement numbers? Do you think with the evolution of science and technology, computers in the future may store data in a different representation from binary? Why and why not?
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