EGR 270 Fundamentals of Computer EngineeringPowerPoint PresentationSlide 3Slide 4Slide 5Slide 6Slide 7Slide 8Slide 9Slide 10Slide 11Slide 12Slide 13Slide 14Slide 15Slide 16Slide 17Slide 18Slide 19Slide 20Slide 21Slide 22Slide 23Slide 24Slide 25Slide 261EGR 270Fundamentals of Computer Engineering• Syllabus• Office Hours• Web page Lecture #1 EGR 270 – Fundamentals of Computer EngineeringReading Assignment: Chapter 1 in Logic and Computer Design Fundamentals, 4th Edition by Mano2Lecture #1 EGR 261 – Signals & SystemsSequence of Electrical/Computer Engineering Courses at TCC* Additional course offerings may be available at the Tri-Cities CenterEGR 260 (3 cr)Circuit AnalysisODU equiv: ECE 201Offered: F, Sp *EGR 261 (3 cr)Signals & SystemsODU equiv: ECE 202Offered: F, Sp *EGR 262 (2 cr)Fund. Circuits LabODU equiv: ECE 287Offered: Sp, Su *EGR 270 (4 cr)Fund. Of Computer EGRODU equiv: ECE 241Offered: Sp, Su *EGR 267 (3 cr)EGR Analysis ToolsODU equiv: ECE 200Offered: F, ??EGR 125 (4 cr)C++ Programming forEngineersEGR 110EngineeringGraphicsMTH 279 (4 cr)DifferentialEquationsChanges to Electrical/Computer Engineering Courses at TCCDue to recent changes at ODU, TCC will make the following changes to the sequence of electrical/computer engineering courses:•EGR 260-261 will be replaced by EGR 271-272•EGR 267 will no longer be offered•No changes to EGR 262 or EGR 270The changes will be phased in as follows:•Fall 2013: First time EGR 271 will be offeredLast time EGR 261 will be offered•Spring 2014: First time EGR 272 will be offered•See the chart on the following page for additional scheduling information3Lecture #1 EGR 261 – Signals & SystemsContent differences between EGR 260-261 and EGR 271-272The new course sequence at ODU actually is a return to the format that they used several years ago and is similar to the format used by many universities.How is EGR 271 different from EGR 260?•EGR 271 will be more manageable as it will cover less material (Ch. 1-6 in Nilsson instead of Ch. 1-8 covered in EGR 260).•MATLAB solutions for problems will be added to EGR 271.How is EGR 272 different from EGR 261?•EGR 272 will cover Ch. 7-10, 12-15 in Nilsson instead of Ch. 12-17 covered in EGR 261 + additional material from a second textbook in EGR 261).•AC circuit analysis will be added to EGR 272 (Ch. 9-10 in Nilsson).•MATLAB solutions for problems will be added to EGR 272.•Material on Fourier Series, Fourier transforms, convolution, and properties of linear signals and systems will be moved to a junior-level course at ODU.4Lecture #1 EGR 261 – Signals & SystemsSequence of Electrical/Computer Engineering Courses at TCCNotes:1. Classes available at the Virginia Beach Campus, the Chesapeake Campus, and the Tri-Cities Center2. EGR 271-272 transfers to Virginia Tech as ECE 20043. EGR 270 transfers to Virginia Tech as ECE 25044. EGR 262 does not transfer to Virginia Tech5EGR 271 (3 cr)Circuit Theory IODU equiv: ECE 201Offered: F, Sp, SuEGR 272 (3 cr)Circuit Theory IIODU equiv: ECE 202Offered: F, SpEGR 262 (2 cr)Fund. Circuits LabODU equiv: ECE 287Offered: F, Sp, SuEGR 270 (4 cr)Fund. Of Computer EGRODU equiv: ECE 241Offered: F, Sp, SuEGR 125 (4 cr)Into to EngineeringMethods (C++)MTH 279 (4 cr)DifferentialEquationsLecture #1 EGR 261 – Signals & Systems6Digital System – a system that works with discrete elements of information (a set of symbols) rather than with continuous signals as in an analog system. This discrete information is represented in binary form. Data processing is carried out by means of binary logic elements using binary signals. Quantities are stored in binary storage elements (memory).Illustration (analog system and binary system):Chapter 1 – Binary SystemsLecture #1 EGR 270 – Fundamentals of Computer Engineering71. Decimal NumbersBase = 10, ten unique digits: (0,1,2,3,4,5,6,7,8,9), place values, counting sequence, examples, LSD and MSDNumber Systems2. Binary NumbersBase = 2, two unique digits: (0 and 1), binary digit = “bit”, place values, counting sequence, examples, LSB and MSBLecture #1 EGR 270 – Fundamentals of Computer Engineering83. Octal NumbersBase = 8, eight unique digits: (0,1,2,3,4,5,6,7), place values, counting sequence, examples, LSD and MSDNumber Systems4. Hexadecimal NumbersBase = 16, sixteen unique digits: (0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F), place values, counting sequence, examples, LSD and MSDLecture #1 EGR 270 – Fundamentals of Computer Engineering9Arithmetic operations in other bases are very similar to the familiar operations that we have always used in base 10.Arithmetic OperationsExamples - AdditionLecture #1 EGR 270 – Fundamentals of Computer Engineering10Examples - SubtractionLecture #1 EGR 270 – Fundamentals of Computer Engineering11Examples - MultiplicationLecture #1 EGR 270 – Fundamentals of Computer Engineering12Converting Between BasesExamples:1. Converting to decimal: expand by place value as previously seen 2. Converting from decimal: A. For the integer portion: Use repeated division by the base (LSD is found first) B. For the fractional portion: Use repeated multiplication by the base (MSD is found first).Lecture #1 EGR 270 – Fundamentals of Computer Engineering133. Converting between binary, octal, and hexadecimal – simple replacement A) Binary to octalExamples:Lecture #1 EGR 270 – Fundamentals of Computer Engineering143. Converting between binary, octal, and hexadecimal – simple replacement B) Binary to hexadecimal Examples:Lecture #1 EGR 270 – Fundamentals of Computer Engineering15Complements•Complements are commonly used to represent negative numbers and toperform subtraction.•There are two types of complements which can be applied to any base:General Base 2 Base 10(r-1)’s complement 1’s complement 9’s complementr’s complement 2’s complement 10’s complementWhere r = baseAnd a general number X might consist of the digits X = aaaaaaa.bbbn = number of digits before the decimal pointm = number of digits after the decimal point Formal definitions:(r-1)’s complement of X = rn – r-m – X ( = rn –1-X if m = 0) r’s complement of X = rn – X = (r-1)’s complement + r-m (= (r-1)’s complement + 1 if m = 0)Lecture #1 EGR 270 – Fundamentals of Computer Engineering16Shortcut approach to finding