Presentation on theme: "Digital Electronics Dr. Bahawodin Baha, University of Brighton, UK."— Presentation transcript:
1 Digital Electronics Dr. Bahawodin Baha, University of Brighton, UK. March 2007Digital Systems, Principles and Applications, 10th EditionR.J Tocci, N. S. Windmer, G. L. Moss, 2007.Applications:ComputersTelecommunicationAutomationMedical Science and TechnologyTransportationSpace ExplorationEntertainmentHome AppliancesOthers
2 Course Summary Overview of Electronics Digital Electronics Number systems, decimal, binary, hexadecimalCombinational logic circuitsSequential logic circuitsComputer Systems
3 Combinational Logic Systems Course Summary (cont.)Combinational Logic SystemsNumber systems: Binary, decimal and hexadecimal conversions and calculationsBasic logic gates: AND, OR, NOT and Ex-ORTruth tables, Boolean equations.Combinational logic circuit design: General hierarchical logic design methodologyMinimisation using Karnaugh maps and Boolean algebra, De-Morgan’s laws.Simulation of gates and combinational logic designsImplementation and testing of designs using a suitable version of TTL series ICs.Practical aspects of using logic ICs: data sheets, current and voltage characteristics, timing issues, output types, compatibility, families etc..
4 Course Summary (cont.) Sequential logic design Flip-flops: SR, JK, D, T types, truth tables, excitation tables and device operation.Flip-flop applications: Registers and counters (asynchronous); MSI and LSI devicesSynchronous counter and sequence generator design method
5 Course Summary (cont.) Introduction to Microprocessor Systems Overview of computer systems architectures, a simple microprocessor-based system, the stored programme concept.Design of a microprocessor based systemDifferences between microprocessors and microcontrollers.Brief history of microprocessors and microcontrollers.
6 Overview of Electronics Analogue electronicsPower electronicsPhysical electronicsDifferences between digital and other types of electronicsNumerical Presentation
7 In 1947, Transistor was invented in Bell labs in the USA. It was as tall as the face of wristwatch.In November 2001, another Bell lab team has built a transistor from a single Molecule - small enough to fit about 10 million transistors on the head of a pin.
8 Numerical Representation There is two ways to represent numerical values.1- AnalogueIn analogue representation one quantity is represented by another quantity which is directly proportional to the first quantity.Analogue = Continuous2- DigitalIn digital representation the quantities are not represented by proportional quantities but symbols called digits. The digital representation is in discrete steps.Digital = DiscreteLogic Level in digital representation, 0 – 0.8 logic 0 and 2 – 5 logic 1.Voltage between 0.8 V and 2 V are unacceptable and are never used.
9 Converting decimal to binary and Converting decimal to hexadecimal Number systemsType of NumbersDecimal, Binary, Octal and HexadecimalConverting decimal to binary andConverting decimal to hexadecimalConverting binary to hexadecimal
10 Number Systems g Decimal Binary Hexadecimal 0000 1 0001 2 0010 3 0011 Base of 10BinaryBase 0f 2HexadecimalBase of 160000100012001030011401005010160110701118100091001101010A111011B121100C131101D141110E151111Fg
11 Converting Decimal to Binary Convert Therefore, = (1000)2LSB, Less Significant BitMSB, Most significant BitTo examine(0 X 2 0) + (0 X 2 1) + (0 X 2 2) + (1 X 2 3) = 8 decimal into binary
12 2nd Example Convert 624 decimal into binary 624 decimal = in binary.To examine the result(1 X 2 4) + (1 X 2 5) + (1 X 2 6) + (1 X 2 9) = 624
13 Converting Decimal to Hex Find the Hex equivalent of (3875)(3875) = (F23)HTo examine(15 X 162) + (2 X 161) + (3 X 160) = 3875
14 Converting Hex to Decimal Convert (AF16B)16 to decimal.(AF16B)16 = [(10 X 164) + (15 X 163) + (1 X 162) + (6 X 161) + (11 X 160)]= ( )= (717163)10
15 Converting Binary to Hex To convert Binary into Hex, simply group them in four and write down the Hex equivalent for each group.Example:( ) 2 = (1011)2 (0011)2 = (11)10 (3)10 = B316
16 Main Points Digital Electronics use many exciting applications Introduction to digital electronicsNumber systems: Decimal, binary and hexConverting from one number system into another
17 The End Thank you for your attention. Any questions? Good luck and have fun!
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