Digital Electronics I
|
|
- Dorothy Atkinson
- 6 years ago
- Views:
Transcription
1 References Digital Electronics I Katz, R.H. (2004). Contemporary logic design. Benjamin/Cummings. Hayes, J.P. (1993). Introduction to digital logic design. Addison-Wesley. Horowitz, P. & Hill, W. (1989). The art of electronics. Cambridge University Press. J. & Hayes-Gill, B. (1998). Introduction to digital electronics. Butterworth-Heinemann. Practical references
2
3 The nature of the p-n junction is that it will conduct current in the forward direction but not in the reverse direction.
4 From Analog to Digital : TTL, xmos TTL The transistor-transistor-logic (TTL) family was developed in the use of transistor switches for logical operations and defines the binary values as 0 V to 0.8 V = logic 0 2 V to 5 V = logic 1 TTL are inexpensive, but draw a lot of power and must be supplied with +5 volts. Individual gates may draw 3 to 4 ma. The low power Schottky versions draw only 20% of the power, but are more expensive. CMOS The complementary metal oxide semiconductor family (CMOS) has equivalents to most of the TTL chips. CMOS chips are much lower in power requirements (drawing about 1 ma) and operate with a wide range of supply voltages (typically 3 to 18 volts). A drawback is extreme sensitivity to static electricity - they must be carefully protected from static discharges. NMOS and PMOS P- and N-channel Metal Oxide Semiconductors (PMOS and NMOS) offer the advantage of higher component density than TTL chips. They are sensitive to damage from electrical discharge.
5 npn pnp
6 7404
7 TTL logic levels: making the digital (standard TTL) VOH Min = Output voltage high minimum with up to 0.4 ma load. A good chip is guaranteed to output a minimum of 2.4 V logic high up to 0.4 ma VOL Max = Output voltage low maximum with up to 16 ma load. A good chip is guaranteed to output a maximum of 0.4 volts up to 16 ma VIH Min = Input voltage high minimum 2.0 V. A good chip will recognize 2.0 V or greater as a logic high and draw no more than 0.04 ma input current. VIL Min = Input voltage low maximum 0.8 V. A good chip will recognize 0.8 V or less as a logic low and draw no more than 1.6 ma input current.
8 Binary number system -> 0, = =
9 The Mathematics of Boolean Algebra (Stanford Encyclopedia of Philosophy - plato.stanford.edu/entries/boolalg-math) Boolean algebra is the algebra of two-valued logic with only sentential connectives, or equivalently of algebras of sets under union and complementation. The rigorous concept is that of a certain kind of algebra, analogous to the mathematical notion of a group. This concept has roots and applications in logic (Lindenbaum-Tarski algebras and model theory), set theory (fields of sets), topology (totally disconnected compact Hausdorff spaces), foundations of set theory (Boolean-valued models), measure theory (measure algebras), functional analysis (algebras of projections), and ring theory (Boolean rings). The study of Boolean algebras has several aspects: structure theory, model theory of Boolean algebras, decidability and undecidability questions for the class of Boolean algebras, and the indicated applications. x + (x y) = x x (x + y) = x x + ( x) = 1 x ( x) = 0
10 Binary functions of two variables: 3 operations on two variables, ( blank and, or,! not) Null 0 A not or B!(A B) A and B AB A exclusive nor B AB (!A)(!B) A and not B A(!B) not B!B A A A or not B A!B not A and B (!A)B not A!A B B not A or B!A B A exclusive or B A(!B) (!A)B not A and B (!A)B A or B A B identity 1
11 Boolean Algebra Theorems: ( blank and, or,! not) ABC = (AB)C = A(BC) A B C = A (B C) = (A B) C associative property AB = BA A B = B A commutative property A (!A) = 0 A =!(!A) A!A = 1 single value theorems A AB = A A (!A)B = A B two variable theorems A 1 = 1 A 0 = A A0 = 0 identity operations
12 Bitwise Operations Bitwise AND and OR c = a & b where ci = 1 if ai = 1 and bi = 1, i [0,7] d = a b where dj = 1 if aj = 1 or bj = 1, j [0, 7] example Position Value a b c (a & b) d (a b)
13 Bitwise Operations Bit Shifting Bit shifting (left or right) is simply pushing all of the bits in a byte left or right, filling the gaps made at one end with zeros, kicking the high bits off the other end. Shifting left is equivalent to multiplying by a power of 2 as long as only zeros are discarded from the top. Shifting right is equivalent to dividing by a power of 2, discarding any remainder. a << 3 == a ; a >> 4 == a 2 == a 2 example Position Value a a << a >>
14 Bitwise Operations Masking To retrieve the value of one bit, all we have to do is create a mask that hides all of the other bits. The solution is, to get the value V of bit i from byte a: V = ((a & (1 << i))!= 0) example Position Value a << a & (1 << 2) << a & (1 << 3)
15 Bitwise Operations Setting and Unsetting Bits To set a bit (change its value to 1), we have to find an operation which will leave a '1' where we want and leave other bits unchanged. To set bit i in byte a, leaving the result as a new : a new = a (1 << i) example Position Value a << a (1 << 3) ~(1 << 2) a & ~(1 << 2)
16 Combinational Logic Gates
17 Combinational Logic Gates with Truth Tables
18 DeMorgan s Theorem Any logical binary expression remains unchanged if one 1. Changes all variables to their complements. 2. Changes all AND operations to ORs. 3. Changes all OR operations to ANDs. 4. Takes the complement of the entire expression.
19 Sequential Logic Gates S/R flip-flop Clocked S/R flip-flop state and next state table S R Q (now) Q+ (next) Q x x characteristic equation: Q+ = S + R Q
20 Sequential Logic Gates state and next state table clocked JK flip flop J K Q (now) Q+ (next) characteristic equation: Q+ = K Q + JQ
21 Sequential Logic Gates state and next state table clocked D flip-flop D Q (now) Q+ (next) characteristic equation: Q+ = D whatever D is will be Q+ (the next Q) -> D flip flop is a hold circuit (a latch)
22 Sequential Logic Gates, applied: timers 555 timer (control voltage) Vcc Threshold input Application circuit trigger output reset input ground See: for more details
23 The three resistors in the voltage divider all have the same value so the comparator reference voltages are 1/3 and 2/3 of the supply voltage, The internal flip-flop changes state when the trigger input at pin 2 is pulled down below +VCC/3. When this occurs, the output (pin 3) changes state to +VCC and the discharge transistor (pin 7) is turned off. If the threshold input (pin 6) is now raised above (2/3)+VCC, the output will return to ground and the discharge transistor will be turned on again. When the threshold input returns to ground, the IC will remain in this state, which was the original state. One way to allow the threshold voltage (pin 6) to gradually rise to (2/3)+VCC is to connect it to a capacitor being allowed to charge through a resistor. In this one can adjust the R and C values for almost any time interval. The 555 can either produce a single pulse when triggered, or it can produce a continuous pulse train (as long as it remains powered).
24 Multiplexers many inputs, one output two inputs X0, X1: data A, B: addressing lines 1 addressing line selects from 2 data sources 2 addressing lines select from 4 data source -> 8 lines select from 2^8 data sources four inputs -> n lines select from 2^n data sources -> used to combine multiple digital signals onto a single transmission line Requirement: frequency of the slowest data line must be at least twice the frequency of the address line switching
25 Demultiplexers one input, many outputs two outputs 2 outputs need one address line 4 outputs require 2 address lines -> 2^n outputs require n address lines four outputs These circuits take in a n-bit binary number and produce an output on one of the 2^n output lines. The output line is chosen by the current state of the address lines.
26 NAND Gate IC7400
27
Sample Test Paper - I
Scheme G Sample Test Paper - I Course Name : Computer Engineering Group Marks : 25 Hours: 1 Hrs. Q.1) Attempt any THREE: 09 Marks a) Define i) Propagation delay ii) Fan-in iii) Fan-out b) Convert the following:
More informationCMPE12 - Notes chapter 2. Digital Logic. (Textbook Chapters and 2.1)"
CMPE12 - Notes chapter 2 Digital Logic (Textbook Chapters 3.1-3.5 and 2.1)" Truth table" The most basic representation of a logic function." Brute force representation listing the output for all possible
More informationDigital Electronics Final Examination. Part A
Digital Electronics Final Examination Part A Spring 2009 Student Name: Date: Class Period: Total Points: /50 Converted Score: /40 Page 1 of 13 Directions: This is a CLOSED BOOK/CLOSED NOTES exam. Select
More informationGates and Flip-Flops
Gates and Flip-Flops Chris Kervick (11355511) With Evan Sheridan and Tom Power December 2012 On a scale of 1 to 10, how likely is it that this question is using binary?...4? What s a 4? Abstract The operation
More informationCMPE12 - Notes chapter 1. Digital Logic. (Textbook Chapter 3)
CMPE12 - Notes chapter 1 Digital Logic (Textbook Chapter 3) Transistor: Building Block of Computers Microprocessors contain TONS of transistors Intel Montecito (2005): 1.72 billion Intel Pentium 4 (2000):
More informationDigital Circuits. 1. Inputs & Outputs are quantized at two levels. 2. Binary arithmetic, only digits are 0 & 1. Position indicates power of 2.
Digital Circuits 1. Inputs & Outputs are quantized at two levels. 2. inary arithmetic, only digits are 0 & 1. Position indicates power of 2. 11001 = 2 4 + 2 3 + 0 + 0 +2 0 16 + 8 + 0 + 0 + 1 = 25 Digital
More informationBoolean algebra. Examples of these individual laws of Boolean, rules and theorems for Boolean algebra are given in the following table.
The Laws of Boolean Boolean algebra As well as the logic symbols 0 and 1 being used to represent a digital input or output, we can also use them as constants for a permanently Open or Closed circuit or
More informationUNIVERSITI TENAGA NASIONAL. College of Information Technology
UNIVERSITI TENAGA NASIONAL College of Information Technology BACHELOR OF COMPUTER SCIENCE (HONS.) FINAL EXAMINATION SEMESTER 2 2012/2013 DIGITAL SYSTEMS DESIGN (CSNB163) January 2013 Time allowed: 3 hours
More informationChapter 7. Sequential Circuits Registers, Counters, RAM
Chapter 7. Sequential Circuits Registers, Counters, RAM Register - a group of binary storage elements suitable for holding binary info A group of FFs constitutes a register Commonly used as temporary storage
More informationLOGIC CIRCUITS. Basic Experiment and Design of Electronics. Ho Kyung Kim, Ph.D.
Basic Experiment and Design of Electronics LOGIC CIRCUITS Ho Kyung Kim, Ph.D. hokyung@pusan.ac.kr School of Mechanical Engineering Pusan National University Digital IC packages TTL (transistor-transistor
More informationVidyalankar S.E. Sem. III [CMPN] Digital Logic Design and Analysis Prelim Question Paper Solution
. (a) (i) ( B C 5) H (A 2 B D) H S.E. Sem. III [CMPN] Digital Logic Design and Analysis Prelim Question Paper Solution ( B C 5) H (A 2 B D) H = (FFFF 698) H (ii) (2.3) 4 + (22.3) 4 2 2. 3 2. 3 2 3. 2 (2.3)
More informationMAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC Certified)
WINTER 17 EXAMINATION Subject Name: Digital Techniques Model Answer Subject Code: 17333 Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given
More informationon candidate s understanding. 7) For programming language papers, credit may be given to any other program based on equivalent concept.
WINTER 17 EXAMINATION Subject Name: Digital Techniques Model Answer Subject Code: 17333 Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given
More informationLecture 9: Digital Electronics
Introduction: We can classify the building blocks of a circuit or system as being either analog or digital in nature. If we focus on voltage as the circuit parameter of interest: nalog: The voltage can
More informationSynchronous Sequential Logic
1 IT 201 DIGITAL SYSTEMS DESIGN MODULE4 NOTES Synchronous Sequential Logic Sequential Circuits - A sequential circuit consists of a combinational circuit and a feedback through the storage elements in
More informationSwitches: basic element of physical implementations
Combinational logic Switches Basic logic and truth tables Logic functions Boolean algebra Proofs by re-writing and by perfect induction Winter 200 CSE370 - II - Boolean Algebra Switches: basic element
More informationDIGITAL LOGIC CIRCUITS
DIGITAL LOGIC CIRCUITS Introduction Logic Gates Boolean Algebra Map Specification Combinational Circuits Flip-Flops Sequential Circuits Memory Components Integrated Circuits Digital Computers 2 LOGIC GATES
More informationNumber System. Decimal to binary Binary to Decimal Binary to octal Binary to hexadecimal Hexadecimal to binary Octal to binary
Number System Decimal to binary Binary to Decimal Binary to octal Binary to hexadecimal Hexadecimal to binary Octal to binary BOOLEAN ALGEBRA BOOLEAN LOGIC OPERATIONS Logical AND Logical OR Logical COMPLEMENTATION
More informationENGR4300 Fall 2005 Test 3A. Name. Section. Question 1 (25 points) Question 2 (25 points) Question 3 (25 points) Question 4 (25 points)
ENGR4 Test A Fall 5 ENGR4 Fall 5 Test A Name Section Question (5 points) Question (5 points) Question (5 points) Question 4 (5 points) Total ( points): Please do not write on the crib sheets. On all questions:
More informationFloating Point Representation and Digital Logic. Lecture 11 CS301
Floating Point Representation and Digital Logic Lecture 11 CS301 Administrative Daily Review of today s lecture w Due tomorrow (10/4) at 8am Lab #3 due Friday (9/7) 1:29pm HW #5 assigned w Due Monday 10/8
More informationCs302 Quiz for MID TERM Exam Solved
Question # 1 of 10 ( Start time: 01:30:33 PM ) Total Marks: 1 Caveman used a number system that has distinct shapes: 4 5 6 7 Question # 2 of 10 ( Start time: 01:31:25 PM ) Total Marks: 1 TTL based devices
More informationS.Y. Diploma : Sem. III [DE/ED/EI/EJ/EN/ET/EV/EX/IC/IE/IS/IU/MU] Principles of Digital Techniques
S.Y. Diploma : Sem. III [DE/ED/EI/EJ/EN/ET/EV/EX/IC/IE/IS/IU/MU] Principles of Digital Techniques Time: 3 Hrs.] Prelim Question Paper Solution [Marks : 100 Q.1(a) Attempt any SIX of the following : [12]
More informationMAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC Certified) SUMMER 14 EXAMINATION Model Answer
MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC 27001 2005 Certified) SUMMER 14 EXAMINATION Model Answer Subject Code : 17320 Page No: 1/34 Important Instructions to examiners: 1)
More informationEE141Microelettronica. CMOS Logic
Microelettronica CMOS Logic CMOS logic Power consumption in CMOS logic gates Where Does Power Go in CMOS? Dynamic Power Consumption Charging and Discharging Capacitors Short Circuit Currents Short Circuit
More informationExperiment 7: Magnitude comparators
Module: Logic Design Lab Name:... University no:.. Group no: Lab Partner Name: Experiment 7: Magnitude comparators Mr. Mohamed El-Saied Objective: Realization of -bit comparator using logic gates. Realization
More informationFundamentals of Digital Design
Fundamentals of Digital Design Digital Radiation Measurement and Spectroscopy NE/RHP 537 1 Binary Number System The binary numeral system, or base-2 number system, is a numeral system that represents numeric
More informationLab 3 Revisited. Zener diodes IAP 2008 Lecture 4 1
Lab 3 Revisited Zener diodes R C 6.091 IAP 2008 Lecture 4 1 Lab 3 Revisited +15 Voltage regulators 555 timers 270 1N758 0.1uf 5K pot V+ V- 2N2222 0.1uf V o. V CC V Vin s = 5 V Vc V c Vs 1 e t = RC Threshold
More informationDigital Logic: Boolean Algebra and Gates. Textbook Chapter 3
Digital Logic: Boolean Algebra and Gates Textbook Chapter 3 Basic Logic Gates XOR CMPE12 Summer 2009 02-2 Truth Table The most basic representation of a logic function Lists the output for all possible
More informationDigital Electronics. Delay Max. FF Rate Power/Gate High Low (ns) (MHz) (mw) (V) (V) Standard TTL (7400)
P57/67 Lec9, P Digital Electronics Introduction: In electronics we can classify the building blocks of a circuit or system as being either analog or digital in nature. If we focus on voltage as the circuit
More informationCSC9R6 Computer Design. Practical Digital Logic
CSC9R6 Computer Design Practical Digital Logic 1 References (for this part of CSC9R6) Hamacher et al: Computer Organization App A. In library Floyd: Digital Fundamentals Ch 1, 3-6, 8-10 web page: www.prenhall.com/floyd/
More informationMAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC Certified) State any two Boolean laws. (Any 2 laws 1 mark each)
Subject Code: 17333 Model Answer Page 1/ 27 Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model
More informationENGR4300 Fall 2005 Test 3S. Name solution. Section. Question 1 (25 points) Question 2 (25 points) Question 3 (25 points) Question 4 (25 points)
ENGR400 Test S Fall 005 ENGR400 Fall 005 Test S Name solution Section uestion (5 points) uestion (5 points) uestion (5 points) uestion 4 (5 points) Total (00 points): Please do not write on the crib sheets.
More informationDept. of ECE, CIT, Gubbi Page 1
Verification: 1) A.B = A + B 7404 7404 7404 A B A.B A.B 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 0 A B A B A + B 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1 1 0 0 0 2) A+B = A. B 7404 7404 7404 A B A+B A+B 0 0 0 1 0 1 1 0 1
More informationBoolean Algebra and Digital Logic 2009, University of Colombo School of Computing
IT 204 Section 3.0 Boolean Algebra and Digital Logic Boolean Algebra 2 Logic Equations to Truth Tables X = A. B + A. B + AB A B X 0 0 0 0 3 Sum of Products The OR operation performed on the products of
More informationSchool of Computer Science and Electrical Engineering 28/05/01. Digital Circuits. Lecture 14. ENG1030 Electrical Physics and Electronics
Digital Circuits 1 Why are we studying digital So that one day you can design something which is better than the... circuits? 2 Why are we studying digital or something better than the... circuits? 3 Why
More informationLecture 17: Designing Sequential Systems Using Flip Flops
EE210: Switching Systems Lecture 17: Designing Sequential Systems Using Flip Flops Prof. YingLi Tian April 11, 2019 Department of Electrical Engineering The City College of New York The City University
More informationTopics. CMOS Design Multi-input delay analysis. John A. Chandy Dept. of Electrical and Computer Engineering University of Connecticut
Topics CMO Design Multi-input delay analysis pring 25 Transmission Gate OUT Z OUT Z pring 25 Transmission Gate OUT When is low, the output is at high impedance When is high, the output follows However,
More informationECE 545 Digital System Design with VHDL Lecture 1A. Digital Logic Refresher Part A Combinational Logic Building Blocks
ECE 545 Digital System Design with VHDL Lecture A Digital Logic Refresher Part A Combinational Logic Building Blocks Lecture Roadmap Combinational Logic Basic Logic Review Basic Gates De Morgan s Laws
More informationSequential Circuit Analysis
Sequential Circuit Analysis Last time we started talking about latches and flip-flops, which are basic one-bit memory units. Today we ll talk about sequential circuit analysis and design. First, we ll
More informationChapter 7 Logic Circuits
Chapter 7 Logic Circuits Goal. Advantages of digital technology compared to analog technology. 2. Terminology of Digital Circuits. 3. Convert Numbers between Decimal, Binary and Other forms. 5. Binary
More informationSUMMER 18 EXAMINATION Subject Name: Principles of Digital Techniques Model Answer Subject Code:
Important Instructions to examiners: 1) The answers should be examined by key words and not as word-to-word as given in the model answer scheme. 2) The model answer and the answer written by candidate
More informationSIR C.R.REDDY COLLEGE OF ENGINEERING ELURU DIGITAL INTEGRATED CIRCUITS (DIC) LABORATORY MANUAL III / IV B.E. (ECE) : I - SEMESTER
SIR C.R.REDDY COLLEGE OF ENGINEERING ELURU 534 007 DIGITAL INTEGRATED CIRCUITS (DIC) LABORATORY MANUAL III / IV B.E. (ECE) : I - SEMESTER DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING DIGITAL
More informationNOTE: The Flatpak version has the same pinouts (Connection Diagram) as the Dual In-Line Package. *MR for LS160A and LS161A *SR for LS162A and LS163A
BCD DECADE COUNTERS/ 4-BIT BINARY COUNTERS The LS160A/ 161A/ 162A/ 163A are high-speed 4-bit synchronous counters. They are edge-triggered, synchronously presettable, and cascadable MSI building blocks
More informationLecture 4: Implementing Logic in CMOS
Lecture 4: Implementing Logic in CMOS Mark Mcermott Electrical and Computer Engineering The University of Texas at ustin Review of emorgan s Theorem Recall that: () = + and = ( + ) (+) = and + = ( ) ()
More informationof Digital Electronics
26 Digital Electronics 729 Digital Electronics 26.1 Analog and Digital Signals 26.3 Binary Number System 26.5 Decimal to Binary Conversion 26.7 Octal Number System 26.9 Binary-Coded Decimal Code (BCD Code)
More informationSequential Logic. Rab Nawaz Khan Jadoon DCS. Lecturer COMSATS Lahore Pakistan. Department of Computer Science
Sequential Logic Rab Nawaz Khan Jadoon DCS COMSATS Institute of Information Technology Lecturer COMSATS Lahore Pakistan Digital Logic and Computer Design Sequential Logic Combinational circuits with memory
More informationUnit II Chapter 4:- Digital Logic Contents 4.1 Introduction... 4
Unit II Chapter 4:- Digital Logic Contents 4.1 Introduction... 4 4.1.1 Signal... 4 4.1.2 Comparison of Analog and Digital Signal... 7 4.2 Number Systems... 7 4.2.1 Decimal Number System... 7 4.2.2 Binary
More informationImplementation of Boolean Logic by Digital Circuits
Implementation of Boolean Logic by Digital Circuits We now consider the use of electronic circuits to implement Boolean functions and arithmetic functions that can be derived from these Boolean functions.
More informationESE 570: Digital Integrated Circuits and VLSI Fundamentals
ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 17: March 23, 2017 Energy and Power Optimization, Design Space Exploration, Synchronous MOS Logic Lecture Outline! Energy and Power Optimization
More informationDIGITAL LOGIC CIRCUITS
DIGITAL LOGIC CIRCUITS Digital logic circuits BINARY NUMBER SYSTEM electronic circuits that handle information encoded in binary form (deal with signals that have only two values, and ) Digital. computers,
More informationEE40 Lec 15. Logic Synthesis and Sequential Logic Circuits
EE40 Lec 15 Logic Synthesis and Sequential Logic Circuits Prof. Nathan Cheung 10/20/2009 Reading: Hambley Chapters 7.4-7.6 Karnaugh Maps: Read following before reading textbook http://www.facstaff.bucknell.edu/mastascu/elessonshtml/logic/logic3.html
More informationMOSIS REPORT. Spring MOSIS Report 1. MOSIS Report 2. MOSIS Report 3
MOSIS REPORT Spring 2010 MOSIS Report 1 MOSIS Report 2 MOSIS Report 3 MOSIS Report 1 Design of 4-bit counter using J-K flip flop I. Objective The purpose of this project is to design one 4-bit counter
More informationLecture 22 Chapters 3 Logic Circuits Part 1
Lecture 22 Chapters 3 Logic Circuits Part 1 LC-3 Data Path Revisited How are the components Seen here implemented? 5-2 Computing Layers Problems Algorithms Language Instruction Set Architecture Microarchitecture
More informationUNIVERSITY OF WISCONSIN MADISON
CS/ECE 252: INTRODUCTION TO COMPUTER ENGINEERING UNIVERSITY OF WISCONSIN MADISON Prof. Gurindar Sohi TAs: Minsub Shin, Lisa Ossian, Sujith Surendran Midterm Examination 2 In Class (50 minutes) Friday,
More informationMAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION
MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC - 27001-2005 Certified) Subject Code: 12069 SUMMER 13 EXAMINATION Model Answer Important Instructions to examiners: 1) The answers should
More informationLecture A: Logic Design and Gates
Lecture A: Logic Design and Gates Syllabus My office hours 9.15-10.35am T,Th or gchoi@ece.tamu.edu 333G WERC Text: Brown and Vranesic Fundamentals of Digital Logic,» Buy it.. Or borrow it» Other book:
More informationPhiladelphia University Student Name: Student Number:
Philadelphia University Student Name: Student Number: Faculty of Engineering Serial Number: Final Exam, First Semester: 2017/2018 Dept. of Computer Engineering Course Title: Logic Circuits Date: 29/01/2018
More informationCHW 261: Logic Design
CHW 26: Logic Design Instructors: Prof. Hala Zayed Dr. Ahmed Shalaby http://www.bu.edu.eg/staff/halazayed4 http://bu.edu.eg/staff/ahmedshalaby4# Slide Digital Fundamentals Digital Concepts Slide 2 What?
More informationMAHALAKSHMI ENGINEERING COLLEGE TIRUCHIRAPALLI
DEPARTMENT: ECE MAHALAKSHMI ENGINEERING COLLEGE TIRUCHIRAPALLI 6 QUESTION BANK SUBJECT NAME: DIGITAL ELECTRONICS UNIT : Design of Sequential Circuits PART A ( Marks). Draw the logic diagram 4: Multiplexer.(AUC
More informationStandard & Canonical Forms
1 COE 202- Digital Logic Standard & Canonical Forms Dr. Abdulaziz Y. Barnawi COE Department KFUPM 2 Outline Minterms and Maxterms From truth table to Boolean expression Sum of minterms Product of Maxterms
More informationUNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BENG (HONS) ELECTRICAL & ELECTRONICS ENGINEERING EXAMINATION SEMESTER /2017
UNIVERSITY OF BOLTON TW35 SCHOOL OF ENGINEERING BENG (HONS) ELECTRICAL & ELECTRONICS ENGINEERING EXAMINATION SEMESTER 2-2016/2017 INTERMEDIATE DIGITAL ELECTRONICS AND COMMUNICATIONS MODULE NO: EEE5002
More informationUNIT 8A Computer Circuitry: Layers of Abstraction. Boolean Logic & Truth Tables
UNIT 8 Computer Circuitry: Layers of bstraction 1 oolean Logic & Truth Tables Computer circuitry works based on oolean logic: operations on true (1) and false (0) values. ( ND ) (Ruby: && ) 0 0 0 0 0 1
More informationIntegrated Circuits & Systems
Federal University of Santa Catarina Center for Technology Computer Science & Electronics Engineering Integrated Circuits & Systems INE 5442 Lecture 18 CMOS Sequential Circuits - 1 guntzel@inf.ufsc.br
More informationIntroduction to CMOS VLSI Design Lecture 1: Introduction
Introduction to CMOS VLSI Design Lecture 1: Introduction David Harris, Harvey Mudd College Kartik Mohanram and Steven Levitan University of Pittsburgh Introduction Integrated circuits: many transistors
More informationTopics. Dynamic CMOS Sequential Design Memory and Control. John A. Chandy Dept. of Electrical and Computer Engineering University of Connecticut
Topics Dynamic CMOS Sequential Design Memory and Control Dynamic CMOS In static circuits at every point in time (except when switching) the output is connected to either GND or V DD via a low resistance
More informationS.Y. Diploma : Sem. III [CO/CM/IF/CD/CW] Digital Techniques
S.Y. Diploma : Sem. III [CO/CM/IF/CD/CW] Digital Techniques Time: 3 Hrs.] Prelim Question Paper Solution [Marks : 100 Q.1(a) Attempt any SIX of the following : [12] Q.1(a) (i) Derive AND gate and OR gate
More informationCS/COE1541: Introduction to Computer Architecture. Logic Design Review. Sangyeun Cho. Computer Science Department University of Pittsburgh
CS/COE54: Introduction to Computer Architecture Logic Design Review Sangyeun Cho Computer Science Department Logic design? Digital hardware is implemented by way of logic design Digital circuits process
More informationFig. 1 CMOS Transistor Circuits (a) Inverter Out = NOT In, (b) NOR-gate C = NOT (A or B)
1 Introduction to Transistor-Level Logic Circuits 1 By Prawat Nagvajara At the transistor level of logic circuits, transistors operate as switches with the logic variables controlling the open or closed
More informationChapter 14 Sequential logic, Latches and Flip-Flops
Chapter 14 Sequential logic, Latches and Flip-Flops Flops Lesson 4 JK Flip Flop Ch14L4-"Digital Principles and Design", Raj Kamal, Pearson Education, 2006 2 JK Flip-Flop ve edge triggered Output Q and
More informationLecture 1: Circuits & Layout
Lecture 1: Circuits & Layout Outline q A Brief History q CMOS Gate esign q Pass Transistors q CMOS Latches & Flip-Flops q Standard Cell Layouts q Stick iagrams 2 A Brief History q 1958: First integrated
More informationChapter 1: Logic systems
Chapter 1: Logic systems 1: Logic gates Learning Objectives: At the end of this topic you should be able to: identify the symbols and truth tables for the following logic gates: NOT AND NAND OR NOR XOR
More informationDigital Logic. CS211 Computer Architecture. l Topics. l Transistors (Design & Types) l Logic Gates. l Combinational Circuits.
CS211 Computer Architecture Digital Logic l Topics l Transistors (Design & Types) l Logic Gates l Combinational Circuits l K-Maps Figures & Tables borrowed from:! http://www.allaboutcircuits.com/vol_4/index.html!
More informationECE 545 Digital System Design with VHDL Lecture 1. Digital Logic Refresher Part A Combinational Logic Building Blocks
ECE 545 Digital System Design with VHDL Lecture Digital Logic Refresher Part A Combinational Logic Building Blocks Lecture Roadmap Combinational Logic Basic Logic Review Basic Gates De Morgan s Law Combinational
More informationL2: Combinational Logic Design (Construction and Boolean Algebra)
L2: Combinational Logic Design (Construction and Boolean Algebra) Acknowledgements: Lecture material adapted from Chapter 2 of R. Katz, G. Borriello, Contemporary Logic Design (second edition), Pearson
More informationEEE130 Digital Electronics I Lecture #4
EEE130 Digital Electronics I Lecture #4 - Boolean Algebra and Logic Simplification - By Dr. Shahrel A. Suandi Topics to be discussed 4-1 Boolean Operations and Expressions 4-2 Laws and Rules of Boolean
More informationIntroduction to Computer Engineering. CS/ECE 252, Spring 2017 Rahul Nayar Computer Sciences Department University of Wisconsin Madison
Introduction to Computer Engineering CS/ECE 252, Spring 2017 Rahul Nayar Computer Sciences Department University of Wisconsin Madison Chapter 3 Digital Logic Structures Slides based on set prepared by
More informationXI STANDARD [ COMPUTER SCIENCE ] 5 MARKS STUDY MATERIAL.
2017-18 XI STANDARD [ COMPUTER SCIENCE ] 5 MARKS STUDY MATERIAL HALF ADDER 1. The circuit that performs addition within the Arithmetic and Logic Unit of the CPU are called adders. 2. A unit that adds two
More informationDigital Circuits and Systems
EE201: Digital Circuits and Systems 4 Sequential Circuits page 1 of 11 EE201: Digital Circuits and Systems Section 4 Sequential Circuits 4.1 Overview of Sequential Circuits: Definition The circuit whose
More informationS No. Questions Bloom s Taxonomy Level UNIT-I
GROUP-A (SHORT ANSWER QUESTIONS) S No. Questions Bloom s UNIT-I 1 Define oxidation & Classify different types of oxidation Remember 1 2 Explain about Ion implantation Understand 1 3 Describe lithography
More informationECE 342 Electronic Circuits. Lecture 34 CMOS Logic
ECE 34 Electronic Circuits Lecture 34 CMOS Logic Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jesa@illinois.edu 1 De Morgan s Law Digital Logic - Generalization ABC... ABC...
More informationE40M. Binary Numbers. M. Horowitz, J. Plummer, R. Howe 1
E40M Binary Numbers M. Horowitz, J. Plummer, R. Howe 1 Reading Chapter 5 in the reader A&L 5.6 M. Horowitz, J. Plummer, R. Howe 2 Useless Box Lab Project #2 Adding a computer to the Useless Box alows us
More informationEEC 118 Lecture #6: CMOS Logic. Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation
EEC 118 Lecture #6: CMOS Logic Rajeevan mirtharajah University of California, Davis Jeff Parkhurst Intel Corporation nnouncements Quiz 1 today! Lab 2 reports due this week Lab 3 this week HW 3 due this
More informationVidyalankar S.E. Sem. III [INFT] Analog and Digital Circuits Prelim Question Paper Solution
. (a). (b) S.E. Sem. III [INFT] Analog and Digital Circuits Prelim Question Paper Solution Practical Features of OpAmp (A 74) i) Large voltage gain (of the order of 2 0 5 ) ii) Very high input resistance
More informationSAU1A FUNDAMENTALS OF DIGITAL COMPUTERS
SAU1A FUNDAMENTALS OF DIGITAL COMPUTERS Unit : I - V Unit : I Overview Fundamentals of Computers Characteristics of Computers Computer Language Operating Systems Generation of Computers 2 Definition of
More informationIntroduction to Computer Engineering. CS/ECE 252, Fall 2012 Prof. Guri Sohi Computer Sciences Department University of Wisconsin Madison
Introduction to Computer Engineering CS/ECE 252, Fall 2012 Prof. Guri Sohi Computer Sciences Department University of Wisconsin Madison Chapter 3 Digital Logic Structures Slides based on set prepared by
More informationBOOLEAN ALGEBRA. Introduction. 1854: Logical algebra was published by George Boole known today as Boolean Algebra
BOOLEAN ALGEBRA Introduction 1854: Logical algebra was published by George Boole known today as Boolean Algebra It s a convenient way and systematic way of expressing and analyzing the operation of logic
More informationLecture 2 Review on Digital Logic (Part 1)
Lecture 2 Review on Digital Logic (Part 1) Xuan Silvia Zhang Washington University in St. Louis http://classes.engineering.wustl.edu/ese461/ Grading Engagement 5% Review Quiz 10% Homework 10% Labs 40%
More informationKINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING QUESTION BANK
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING QUESTION BANK SUBJECT CODE: EC 1354 SUB.NAME : VLSI DESIGN YEAR / SEMESTER: III / VI UNIT I MOS TRANSISTOR THEORY AND
More informationBoole Algebra and Logic Series
S1 Teknik Telekomunikasi Fakultas Teknik Elektro oole lgebra and Logic Series 2016/2017 CLO1-Week2-asic Logic Operation and Logic Gate Outline Understand the basic theory of oolean Understand the basic
More informationBoolean Algebra & Logic Gates. By : Ali Mustafa
Boolean Algebra & Logic Gates By : Ali Mustafa Digital Logic Gates There are three fundamental logical operations, from which all other functions, no matter how complex, can be derived. These Basic functions
More informationKUMARAGURU COLLEGE OF TECHNOLOGY COIMBATORE
Estd-1984 KUMARAGURU COLLEGE OF TECHNOLOGY COIMBATORE 641 006 QUESTION BANK UNIT I PART A ISO 9001:2000 Certified 1. Convert (100001110.010) 2 to a decimal number. 2. Find the canonical SOP for the function
More informationCOSC 243. Introduction to Logic And Combinatorial Logic. Lecture 4 - Introduction to Logic and Combinatorial Logic. COSC 243 (Computer Architecture)
COSC 243 Introduction to Logic And Combinatorial Logic 1 Overview This Lecture Introduction to Digital Logic Gates Boolean algebra Combinatorial Logic Source: Chapter 11 (10 th edition) Source: J.R. Gregg,
More informationLecture 14: State Tables, Diagrams, Latches, and Flip Flop
EE210: Switching Systems Lecture 14: State Tables, Diagrams, Latches, and Flip Flop Prof. YingLi Tian Nov. 6, 2017 Department of Electrical Engineering The City College of New York The City University
More informationvidyarthiplus.com vidyarthiplus.com vidyarthiplus.com ANNA UNIVERSITY- COMBATORE B.E./ B.TECH. DEGREE EXAMINATION - JUNE 2009. ELECTRICAL & ELECTONICS ENGG. - FOURTH SEMESTER DIGITAL LOGIC CIRCUITS PART-A
More informationChapter 2: Switching Algebra and Logic Circuits
Chapter 2: Switching Algebra and Logic Circuits Formal Foundation of Digital Design In 1854 George Boole published An investigation into the Laws of Thoughts Algebraic system with two values 0 and 1 Used
More informationELCT201: DIGITAL LOGIC DESIGN
ELCT201: DIGITAL LOGIC DESIGN Dr. Eng. Haitham Omran, haitham.omran@guc.edu.eg Dr. Eng. Wassim Alexan, wassim.joseph@guc.edu.eg Lecture 6 Following the slides of Dr. Ahmed H. Madian محرم 1439 ه Winter
More informationReg. No. Question Paper Code : B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER Second Semester. Computer Science and Engineering
Sp 6 Reg. No. Question Paper Code : 27156 B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2015. Second Semester Computer Science and Engineering CS 6201 DIGITAL PRINCIPLES AND SYSTEM DESIGN (Common
More informationHomework Assignment #1 Solutions EE 477 Spring 2017 Professor Parker
Homework Assignment #1 Solutions EE 477 Spring 2017 Professor Parker Note: + implies OR,. implies AND, ~ implies NOT Question 1: a) (4%) Use transmission gates to design a 3-input OR gate Note: There are
More informationDigital Logic Appendix A
Digital Logic Appendix A Boolean Algebra Gates Combinatorial Circuits Sequential Circuits 1 Boolean Algebra George Boole ideas 1854 Claude Shannon, apply to circuit design, 1938 Describe digital circuitry
More informationCMOS Digital Integrated Circuits Lec 13 Semiconductor Memories
Lec 13 Semiconductor Memories 1 Semiconductor Memory Types Semiconductor Memories Read/Write (R/W) Memory or Random Access Memory (RAM) Read-Only Memory (ROM) Dynamic RAM (DRAM) Static RAM (SRAM) 1. Mask
More information