UNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BENG (HONS) ELECTRICAL & ELECTRONICS ENGINEERING EXAMINATION SEMESTER /2017

Size: px
Start display at page:

Download "UNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BENG (HONS) ELECTRICAL & ELECTRONICS ENGINEERING EXAMINATION SEMESTER /2017"

Transcription

1 UNIVERSITY OF BOLTON TW35 SCHOOL OF ENGINEERING BENG (HONS) ELECTRICAL & ELECTRONICS ENGINEERING EXAMINATION SEMESTER /2017 INTERMEDIATE DIGITAL ELECTRONICS AND COMMUNICATIONS MODULE NO: EEE5002 Date: Wednesday 17 May 2017 Time: INSTRUCTIONS TO CANDIDATES: There are five (5) questions. Answer any four (4) questions. All questions carry equal marks. Marks for parts of questions are shown in brackets. Time: 2 hours CANDIDATES REQUIRE: Answer book

2 Page 2 of 6 Q1. (a) In the circuit shown below (Figure 1), the output Y of the flip-flop is connected to its input via an inverter. Draw the output waveform assuming that the output Y is initially LOW and the CLK is a square wave. Figure 1: A flip-flop circuit (b) A group of digital logic designers working for National Instruments could not agree on whether to use NAND gates or NOR gates to build a set-reset latch. The compromise design is shown in Figure 2. Figure 2: A digital logic circuit (i) Fill in the function table (Table 1) for Q and Q in this sequential circuit and reproduce this table in your answer sheet. Question 1 continued over the page

3 Page 3 of 6 Question 1 continued over the page X Y Q /Q Table 1: Sequential Circuit (ii) From the completed function table, explain what is wrong with this Latch. How can the design be corrected? (c) For a Verilog code, the following number has been defined: 8`d255. How many bits does the number have and what will the representation for the same number in binary format? Q2. A sequential circuit with D Flip-Flops A and B, one input X, and one output Z is specified by the following input equations: D A = X A + XB D B = B X Z = AB (a) Draw the circuit diagram represented by the above equations. Question 2 continued over the page

4 Page 4 of 6 Question 2 continued (b) (c) For the circuit defined by above equations, derive the state table. For the circuit defined by above equations, derive the state diagram. Q3. (a) For the Mealy FSM shown below (Figure 3), draw the equivalent Moore machine Figure 3: A Mealy FSM (15 marks) (b) Considering, for the Mealy Machine shown above, if the input sequence is 011, then the corresponding output sequence, Q1 0/Z1 Q2 1/Z1 Q3 1/Z2 Q3, would be Z1Z1Z2. (i) What would be output sequence if the input is fixed to a constant 1 for all cycles? Question 3 continued over turn the page

5 Page 5 of 6 Question 3 continued (ii) What would be output sequence if the input is fixed to a constant 0 for all cycles? Q4. A 3-bit counter is required that follows the sequence: 000, 001, 011, 100, 101, 000, 001, 011, 100, 101. Design the logic circuit for a Mealy Finite State Machine (FSM) to follow this sequence using D-type Flip Flops and as few gates as possible by utilizing the don t-care conditions arising from the not-used states. 25 marks Q5. (a) Draw and describe the construction of a single static RAM memory cell incorporating the SR -latch and associated gates. (b) Considering the binary weighted D/A convertor shown below (Figure 3), determine the voltage at Vout if the binary equivalent of 1010 is input on switches D3 to D0? Question 5 continued over the page

6 Page 6 of 6 Question 5 continued Figure 3: A binary weighted D/A convertor (c) Given below is a 3-stage shift register (Figure 4) consisting of 3 Flip-flops. Provide the Verilog code for the circuit below using appropriate procedural statements. Figure 4: A 3-stage shift register -----End of questions-----

Lecture 14: State Tables, Diagrams, Latches, and Flip Flop

Lecture 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 information

Mealy & Moore Machines

Mealy & Moore Machines Mealy & Moore Machines Moore Machine is a finite-state machine whose output values are determined solely by its current state and can be defined as six elements (S, S 0, Σ, Λ, T, G), consisting of the

More information

Appendix B. Review of Digital Logic. Baback Izadi Division of Engineering Programs

Appendix B. Review of Digital Logic. Baback Izadi Division of Engineering Programs Appendix B Review of Digital Logic Baback Izadi Division of Engineering Programs bai@engr.newpaltz.edu Elect. & Comp. Eng. 2 DeMorgan Symbols NAND (A.B) = A +B NOR (A+B) = A.B AND A.B = A.B = (A +B ) OR

More information

Synchronous Sequential Circuit Design. Digital Computer Design

Synchronous Sequential Circuit Design. Digital Computer Design Synchronous Sequential Circuit Design Digital Computer Design Races and Instability Combinational logic has no cyclic paths and no races If inputs are applied to combinational logic, the outputs will always

More information

EE 209 Logic Cumulative Exam Name:

EE 209 Logic Cumulative Exam Name: EE 209 Logic Cumulative Exam Name: 1.) Answer the following questions as True or False a.) A 4-to-1 multiplexer requires at least 4 select lines: true / false b.) An 8-to-1 mux and no other logi can be

More information

Synchronous Sequential Logic

Synchronous 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 information

3. Complete the following table of equivalent values. Use binary numbers with a sign bit and 7 bits for the value

3. Complete the following table of equivalent values. Use binary numbers with a sign bit and 7 bits for the value EGC22 Digital Logic Fundamental Additional Practice Problems. Complete the following table of equivalent values. Binary. Octal 35.77 33.23.875 29.99 27 9 64 Hexadecimal B.3 D.FD B.4C 2. Calculate the following

More information

Lecture 7: Logic design. Combinational logic circuits

Lecture 7: Logic design. Combinational logic circuits /24/28 Lecture 7: Logic design Binary digital circuits: Two voltage levels: and (ground and supply voltage) Built from transistors used as on/off switches Analog circuits not very suitable for generic

More information

Different encodings generate different circuits

Different encodings generate different circuits FSM State Encoding Different encodings generate different circuits no easy way to find best encoding with fewest logic gates or shortest propagation delay. Binary encoding: K states need log 2 K bits i.e.,

More information

King Fahd University of Petroleum and Minerals College of Computer Science and Engineering Computer Engineering Department

King Fahd University of Petroleum and Minerals College of Computer Science and Engineering Computer Engineering Department King Fahd University of Petroleum and Minerals College of Computer Science and Engineering Computer Engineering Department Page 1 of 13 COE 202: Digital Logic Design (3-0-3) Term 112 (Spring 2012) Final

More information

Models for representing sequential circuits

Models for representing sequential circuits Sequential Circuits Models for representing sequential circuits Finite-state machines (Moore and Mealy) Representation of memory (states) Changes in state (transitions) Design procedure State diagrams

More information

ECEN 248: INTRODUCTION TO DIGITAL SYSTEMS DESIGN. Week 7 Dr. Srinivas Shakkottai Dept. of Electrical and Computer Engineering

ECEN 248: INTRODUCTION TO DIGITAL SYSTEMS DESIGN. Week 7 Dr. Srinivas Shakkottai Dept. of Electrical and Computer Engineering ECEN 248: INTRODUCTION TO DIGITAL SYSTEMS DESIGN Week 7 Dr. Srinivas Shakkottai Dept. of Electrical and Computer Engineering SEQUENTIAL CIRCUITS: LATCHES Overview Circuits require memory to store intermediate

More information

Parity Checker Example. EECS150 - Digital Design Lecture 9 - Finite State Machines 1. Formal Design Process. Formal Design Process

Parity Checker Example. EECS150 - Digital Design Lecture 9 - Finite State Machines 1. Formal Design Process. Formal Design Process Parity Checker Example A string of bits has even parity if the number of 1 s in the string is even. Design a circuit that accepts a bit-serial stream of bits and outputs a 0 if the parity thus far is even

More information

ELCT201: DIGITAL LOGIC DESIGN

ELCT201: 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 information

EECS Components and Design Techniques for Digital Systems. FSMs 9/11/2007

EECS Components and Design Techniques for Digital Systems. FSMs 9/11/2007 EECS 150 - Components and Design Techniques for Digital Systems FSMs 9/11/2007 Sarah Bird Electrical Engineering and Computer Sciences University of California, Berkeley Slides borrowed from David Culler

More information

Digital Logic and Design (Course Code: EE222) Lecture 19: Sequential Circuits Contd..

Digital Logic and Design (Course Code: EE222) Lecture 19: Sequential Circuits Contd.. Indian Institute of Technology Jodhpur, Year 2017-2018 Digital Logic and Design (Course Code: EE222) Lecture 19: Sequential Circuits Contd.. Course Instructor: Shree Prakash Tiwari Email: sptiwari@iitj.ac.in

More information

CPE100: Digital Logic Design I

CPE100: Digital Logic Design I Professor Brendan Morris, SEB 3216, brendan.morris@unlv.edu CPE100: Digital Logic Design I Midterm02 Review http://www.ee.unlv.edu/~b1morris/cpe100/ 2 Logistics Thursday Nov. 16 th In normal lecture (13:00-14:15)

More information

Sequential Logic Circuits

Sequential Logic Circuits Chapter 4 Sequential Logic Circuits 4 1 The defining characteristic of a combinational circuit is that its output depends only on the current inputs applied to the circuit. The output of a sequential circuit,

More information

The Design Procedure. Output Equation Determination - Derive output equations from the state table

The Design Procedure. Output Equation Determination - Derive output equations from the state table The Design Procedure Specification Formulation - Obtain a state diagram or state table State Assignment - Assign binary codes to the states Flip-Flop Input Equation Determination - Select flipflop types

More information

Digital Logic: Boolean Algebra and Gates. Textbook Chapter 3

Digital 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 information

Logical design of digital systems

Logical design of digital systems 21062017 lectures Summer Semester 2017 Table of content 1 Combinational circuit design 2 Elementary combinatorial circuits for data transmission 3 Memory structures 4 Programmable logic devices 5 Algorithmic

More information

FSM model for sequential circuits

FSM model for sequential circuits 1 FSM model for sequential circuits The mathematical model of a sequential circuit is called finite-state machine. FSM is fully characterized by: S Finite set of states ( state ~ contents of FFs) I Finite

More information

Clocked Sequential Circuits UNIT 13 ANALYSIS OF CLOCKED SEQUENTIAL CIRCUITS. Analysis of Clocked Sequential Circuits. Signal Tracing and Timing Charts

Clocked Sequential Circuits UNIT 13 ANALYSIS OF CLOCKED SEQUENTIAL CIRCUITS. Analysis of Clocked Sequential Circuits. Signal Tracing and Timing Charts ed Sequential Circuits 2 Contents nalysis by signal tracing & timing charts State tables and graphs General models for sequential circuits sequential parity checker Reading Unit 3 asic unit Unit : Latch

More information

Digital Control of Electric Drives

Digital Control of Electric Drives Digital Control of Electric Drives Logic Circuits - equential Description Form, Finite tate Machine (FM) Czech Technical University in Prague Faculty of Electrical Engineering Ver.. J. Zdenek 27 Logic

More information

Lecture 10: Synchronous Sequential Circuits Design

Lecture 10: Synchronous Sequential Circuits Design Lecture 0: Synchronous Sequential Circuits Design. General Form Input Combinational Flip-flops Combinational Output Circuit Circuit Clock.. Moore type has outputs dependent only on the state, e.g. ripple

More information

ENGG 1203 Tutorial _03 Laboratory 3 Build a ball counter. Lab 3. Lab 3 Gate Timing. Lab 3 Steps in designing a State Machine. Timing diagram of a DFF

ENGG 1203 Tutorial _03 Laboratory 3 Build a ball counter. Lab 3. Lab 3 Gate Timing. Lab 3 Steps in designing a State Machine. Timing diagram of a DFF ENGG 1203 Tutorial _03 Laboratory 3 Build a ball counter Timing diagram of a DFF Lab 3 Gate Timing difference timing for difference kind of gate, cost dependence (1) Setup Time = t2-t1 (2) Propagation

More information

Finite State Machine. By : Ali Mustafa

Finite State Machine. By : Ali Mustafa Finite State Machine By : Ali Mustafa So Far We have covered the memory elements issue and we are ready to implement the sequential circuits. We need to know how to Deal(analyze) with a sequential circuit?

More information

Reg. No. Question Paper Code : B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER Second Semester. Computer Science and Engineering

Reg. 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 information

Lecture 17: Designing Sequential Systems Using Flip Flops

Lecture 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 information

COE 328 Final Exam 2008

COE 328 Final Exam 2008 COE 328 Final Exam 2008 1. Design a comparator that compares a 4 bit number A to a 4 bit number B and gives an Output F=1 if A is not equal B. You must use 2 input LUTs only. 2. Given the following logic

More information

Finite State Machine (FSM)

Finite State Machine (FSM) Finite State Machine (FSM) Consists of: State register Stores current state Loads next state at clock edge Combinational logic Computes the next state Computes the outputs S S Next State CLK Current State

More information

EECS 270 Midterm 2 Exam Answer Key Winter 2017

EECS 270 Midterm 2 Exam Answer Key Winter 2017 EES 270 Midterm 2 Exam nswer Key Winter 2017 Name: unique name: Sign the honor code: I have neither given nor received aid on this exam nor observed anyone else doing so. NOTES: 1. This part of the exam

More information

CprE 281: Digital Logic

CprE 281: Digital Logic CprE 281: Digital Logic Instructor: Alexander Stoytchev http://www.ece.iastate.edu/~alexs/classes/ Synchronous Sequential Circuits Basic Design Steps CprE 281: Digital Logic Iowa State University, Ames,

More information

Problem Set 9 Solutions

Problem Set 9 Solutions CSE 26 Digital Computers: Organization and Logical Design - 27 Jon Turner Problem Set 9 Solutions. For each of the sequential circuits shown below, draw in the missing parts of the timing diagrams. You

More information

Sequential Logic. Rab Nawaz Khan Jadoon DCS. Lecturer COMSATS Lahore Pakistan. Department of Computer Science

Sequential 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 information

Chapter 4. Sequential Logic Circuits

Chapter 4. Sequential Logic Circuits Chapter 4 Sequential Logic Circuits 1 2 Chapter 4 4 1 The defining characteristic of a combinational circuit is that its output depends only on the current inputs applied to the circuit. The output of

More information

Fundamentals of Digital Design

Fundamentals 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 information

Sample Test Paper - I

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 information

Lecture 3 Review on Digital Logic (Part 2)

Lecture 3 Review on Digital Logic (Part 2) Lecture 3 Review on Digital Logic (Part 2) Xuan Silvia Zhang Washington University in St. Louis http://classes.engineering.wustl.edu/ese461/ ircuit Optimization Simplest implementation ost criterion literal

More information

UNIVERSITY OF WISCONSIN MADISON

UNIVERSITY 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 information

EE40 Lec 15. Logic Synthesis and Sequential Logic Circuits

EE40 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 information

EECS150 - Digital Design Lecture 23 - FSMs & Counters

EECS150 - Digital Design Lecture 23 - FSMs & Counters EECS150 - Digital Design Lecture 23 - FSMs & Counters April 8, 2010 John Wawrzynek Spring 2010 EECS150 - Lec22-counters Page 1 One-hot encoding of states. One FF per state. State Encoding Why one-hot encoding?

More information

CPE100: Digital Logic Design I

CPE100: Digital Logic Design I Professor Brendan Morris, SEB 3216, brendan.morris@unlv.edu CPE100: Digital Logic Design I Final Review http://www.ee.unlv.edu/~b1morris/cpe100/ 2 Logistics Tuesday Dec 12 th 13:00-15:00 (1-3pm) 2 hour

More information

Latches. October 13, 2003 Latches 1

Latches. October 13, 2003 Latches 1 Latches The second part of CS231 focuses on sequential circuits, where we add memory to the hardware that we ve already seen. Our schedule will be very similar to before: We first show how primitive memory

More information

11.1 As mentioned in Experiment 10, sequential logic circuits are a type of logic circuit where the output of

11.1 As mentioned in Experiment 10, sequential logic circuits are a type of logic circuit where the output of EE 2449 Experiment 11 Jack Levine and Nancy Warter-Perez CALIFORNIA STATE UNIVERSITY LOS ANGELES Department of Electrical and Computer Engineering EE-2449 Digital Logic Lab EXPERIMENT 11 SEQUENTIAL CIRCUITS

More information

University of Guelph School of Engineering ENG 2410 Digital Design Fall There are 7 questions, answer all questions.

University of Guelph School of Engineering ENG 2410 Digital Design Fall There are 7 questions, answer all questions. Final Examination Instructor: Shawki M. Areibi Co-examiner: Medhat Moussa. Location: UOG Date: Wednesday, December 5th, 2007 Time: 8:30-10:30 AM Duration: 2 hours. Type: R Closed Book. Instructions: University

More information

EECS150 - Digital Design Lecture 18 - Counters

EECS150 - Digital Design Lecture 18 - Counters EECS150 - Digital Design Lecture 18 - Counters October 24, 2002 John Wawrzynek Fall 2002 EECS150 - Lec18-counters Page 1 Counters Special sequential circuits (FSMs) that sequence though a set outputs.

More information

EECS150 - Digital Design Lecture 18 - Counters

EECS150 - Digital Design Lecture 18 - Counters EECS50 - Digital Design Lecture 8 - Counters October 24, 2002 John Wawrzynek Fall 2002 EECS50 - Lec8-counters Page Counters Special sequential circuits (FSMs) that sequence though a set outputs. Examples:

More information

Lecture 8: Sequential Networks and Finite State Machines

Lecture 8: Sequential Networks and Finite State Machines Lecture 8: Sequential Networks and Finite State Machines CSE 140: Components and Design Techniques for Digital Systems Spring 2014 CK Cheng, Diba Mirza Dept. of Computer Science and Engineering University

More information

vidyarthiplus.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 information

King Fahd University of Petroleum and Minerals College of Computer Science and Engineering Computer Engineering Department

King Fahd University of Petroleum and Minerals College of Computer Science and Engineering Computer Engineering Department King Fahd University of Petroleum and Minerals College of Computer Science and Engineering Computer Engineering Department Page of COE 22: Digital Logic Design (3--3) Term (Fall 22) Final Exam Sunday January

More information

EECS150 - Digital Design Lecture 17 - Sequential Circuits 3 (Counters)

EECS150 - Digital Design Lecture 17 - Sequential Circuits 3 (Counters) EECS150 - Digital Design Lecture 17 - Sequential Circuits 3 (Counters) March 19&21, 2002 John Wawrzynek Spring 2002 EECS150 - Lec13-seq3 version 2 Page 1 Counters Special sequential circuits (FSMs) that

More information

Analysis and Design of Sequential Circuits: Examples

Analysis and Design of Sequential Circuits: Examples COSC3410 Analysis and Design of Sequential Circuits: Examples J. C. Huang Department of Computer Science University of Houston Sequential machine slide 1 inputs combinational circuit outputs memory elements

More information

Sequential Circuit Design

Sequential Circuit Design Sequential Circuit esign esign Procedure. Specification 2. Formulation Obtain a state diagram or state table 3. State Assignment Assign binary codes to the states 4. Flip-Flop Input Equation etermination

More information

Philadelphia University Student Name: Student Number:

Philadelphia 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 information

University of Toronto Faculty of Applied Science and Engineering Edward S. Rogers Sr. Department of Electrical and Computer Engineering

University of Toronto Faculty of Applied Science and Engineering Edward S. Rogers Sr. Department of Electrical and Computer Engineering University of Toronto Faculty of Applied Science and Engineering Edward S. Rogers Sr. Department of Electrical and Computer Engineering Final Examination ECE 241F - Digital Systems Examiners: S. Brown,

More information

Sequential Synchronous Circuit Analysis

Sequential Synchronous Circuit Analysis Sequential Synchronous Circuit Analysis General Model Current State at time (t) is stored in an array of flip-flops. Next State at time (t+1) is a Boolean function of State and Inputs. Outputs at time

More information

Appendix A: Digital Logic. Principles of Computer Architecture. Principles of Computer Architecture by M. Murdocca and V. Heuring

Appendix A: Digital Logic. Principles of Computer Architecture. Principles of Computer Architecture by M. Murdocca and V. Heuring - Principles of Computer rchitecture Miles Murdocca and Vincent Heuring 999 M. Murdocca and V. Heuring -2 Chapter Contents. Introduction.2 Combinational Logic.3 Truth Tables.4 Logic Gates.5 Properties

More information

Philadelphia University Student Name: Student Number:

Philadelphia University Student Name: Student Number: Philadelphia University Student Name: Student Number: Faculty of Engineering Serial Number: Final Exam, Second Semester: 2015/2016 Dept. of Computer Engineering Course Title: Logic Circuits Date: 08/06/2016

More information

Chapter 6 Introduction to state machines

Chapter 6 Introduction to state machines 9..7 hapter 6 Introduction to state machines Dr.-Ing. Stefan Werner Table of content hapter : Switching Algebra hapter : Logical Levels, Timing & Delays hapter 3: Karnaugh-Veitch-Maps hapter 4: ombinational

More information

EECS150 - Digital Design Lecture 11 - Shifters & Counters. Register Summary

EECS150 - Digital Design Lecture 11 - Shifters & Counters. Register Summary EECS50 - Digital Design Lecture - Shifters & Counters February 24, 2003 John Wawrzynek Spring 2005 EECS50 - Lec-counters Page Register Summary All registers (this semester) based on Flip-flops: q 3 q 2

More information

Synchronous Sequential Circuit

Synchronous Sequential Circuit Synchronous Sequential Circuit The change of internal state occurs in response to the synchronized clock pulses. Data are read during the clock pulse (e.g. rising-edge triggered) It is supposed to wait

More information

Digital Circuits and Systems

Digital 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 information

LOGIC CIRCUITS. Basic Experiment and Design of Electronics

LOGIC CIRCUITS. Basic Experiment and Design of Electronics Basic Experiment and Design of Electronics LOGIC CIRCUITS Ho Kyung Kim, Ph.D. hokyung@pusan.ac.kr School of Mechanical Engineering Pusan National University Outline Combinational logic circuits Output

More information

Dr. Nicola Nicolici COE/EE2DI4 Midterm Test #2 Nov 22, 2006

Dr. Nicola Nicolici COE/EE2DI4 Midterm Test #2 Nov 22, 2006 COE/EE2DI4 Midterm Test #2 Fall 2006 Page 1 Dr. Nicola Nicolici COE/EE2DI4 Midterm Test #2 Nov 22, 2006 Instructions: This examination paper includes 12 pages and 20 multiple-choice questions starting

More information

Topic 8: Sequential Circuits

Topic 8: Sequential Circuits Topic 8: Sequential Circuits Readings : Patterson & Hennesy, Appendix B.4 - B.6 Goals Basic Principles behind Memory Elements Clocks Applications of sequential circuits Introduction to the concept of the

More information

Sequential Circuit Analysis

Sequential 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 information

CSE140: Components and Design Techniques for Digital Systems. Midterm Information. Instructor: Mohsen Imani. Sources: TSR, Katz, Boriello & Vahid

CSE140: Components and Design Techniques for Digital Systems. Midterm Information. Instructor: Mohsen Imani. Sources: TSR, Katz, Boriello & Vahid CSE140: Components and Design Techniques for Digital Systems Midterm Information Instructor: Mohsen Imani Midterm Topics In general: everything that was covered in homework 1 and 2 and related lectures,

More information

EEE2135 Digital Logic Design

EEE2135 Digital Logic Design EEE2135 Digital Logic Design Chapter 7. Sequential Circuits Design 서강대학교 전자공학과 1. Model of Sequential Circuits 1) Sequential vs. Combinational Circuits a. Sequential circuits: Outputs depend on both the

More information

ELEC Digital Logic Circuits Fall 2014 Sequential Circuits (Chapter 6) Finite State Machines (Ch. 7-10)

ELEC Digital Logic Circuits Fall 2014 Sequential Circuits (Chapter 6) Finite State Machines (Ch. 7-10) ELEC 2200-002 Digital Logic Circuits Fall 2014 Sequential Circuits (Chapter 6) Finite State Machines (Ch. 7-10) Vishwani D. Agrawal James J. Danaher Professor Department of Electrical and Computer Engineering

More information

10/12/2016. An FSM with No Inputs Moves from State to State. ECE 120: Introduction to Computing. Eventually, the States Form a Loop

10/12/2016. An FSM with No Inputs Moves from State to State. ECE 120: Introduction to Computing. Eventually, the States Form a Loop University of Illinois at Urbana-Champaign Dept. of Electrical and Computer Engineering An FSM with No Inputs Moves from State to State What happens if an FSM has no inputs? ECE 120: Introduction to Computing

More information

MAHARASHTRA STATE BOARD OF TECHNICAL EDUCATION (Autonomous) (ISO/IEC Certified) State any two Boolean laws. (Any 2 laws 1 mark each)

MAHARASHTRA 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 information

State Machines ELCTEC-131

State Machines ELCTEC-131 State Machines ELCTEC-131 Switch Debouncer A digital circuit that is used to remove the mechanical bounce from a switch contact. When a switch is closed, the contacts bounce from open to closed to cause

More information

Chapter 7. Sequential Circuits Registers, Counters, RAM

Chapter 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 information

Combinational vs. Sequential. Summary of Combinational Logic. Combinational device/circuit: any circuit built using the basic gates Expressed as

Combinational vs. Sequential. Summary of Combinational Logic. Combinational device/circuit: any circuit built using the basic gates Expressed as Summary of Combinational Logic : Computer Architecture I Instructor: Prof. Bhagi Narahari Dept. of Computer Science Course URL: www.seas.gwu.edu/~bhagiweb/cs3/ Combinational device/circuit: any circuit

More information

Chapter 6. Synchronous Sequential Circuits

Chapter 6. Synchronous Sequential Circuits Chapter 6 Synchronous Sequential Circuits In a combinational circuit, the values of the outputs are determined solely by the present values of its inputs. In a sequential circuit, the values of the outputs

More information

Digital Logic. CS211 Computer Architecture. l Topics. l Transistors (Design & Types) l Logic Gates. l Combinational Circuits.

Digital 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 information

Digital Design 2010 DE2 1

Digital Design 2010 DE2 1 1 Underviser: D. M. Akbar Hussain Litteratur: Digital Design Principles & Practices 4 th Edition by yj John F. Wakerly 2 DE2 1 3 4 DE2 2 To enable students to apply analysis, synthesis and implementation

More information

Homework #4. CSE 140 Summer Session Instructor: Mohsen Imani. Only a subset of questions will be graded

Homework #4. CSE 140 Summer Session Instructor: Mohsen Imani. Only a subset of questions will be graded Homework #4 CSE 140 Summer Session 2 2017 Instructor: Mohsen Imani Only a subset of questions will be graded 1) For the circuit shown below, do the following: a. Write a logic equation for the output P

More information

Fundamentals of Computer Systems

Fundamentals of Computer Systems Fundamentals of Computer Systems Review for the Final Stephen A. Edwards Columbia University Summer 25 The Final 2 hours 8 problems Closed book Simple calculators are OK, but unnecessary One double-sided

More information

WORKBOOK. Try Yourself Questions. Electrical Engineering Digital Electronics. Detailed Explanations of

WORKBOOK. Try Yourself Questions. Electrical Engineering Digital Electronics. Detailed Explanations of 27 WORKBOOK Detailed Eplanations of Try Yourself Questions Electrical Engineering Digital Electronics Number Systems and Codes T : Solution Converting into decimal number system 2 + 3 + 5 + 8 2 + 4 8 +

More information

CMPE12 - Notes chapter 1. Digital Logic. (Textbook Chapter 3)

CMPE12 - 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 information

CE1911 LECTURE FSM DESIGN PRACTICE DAY 1

CE1911 LECTURE FSM DESIGN PRACTICE DAY 1 REVIEW MATERIAL 1. Combinational circuits do not have memory. They calculate instantaneous outputs based only on current inputs. They implement basic arithmetic and logic functions. 2. Sequential circuits

More information

EECS 270 Midterm Exam 2 Fall 2009

EECS 270 Midterm Exam 2 Fall 2009 EECS 270 Midterm Exam 2 Fall 2009 Name: unique name: UMID: Sign the honor code: I have neither given nor received aid on this exam nor observed anyone else doing so. Scores: NOTES: Problem # Points 1&2

More information

Timing Constraints in Sequential Designs. 63 Sources: TSR, Katz, Boriello & Vahid

Timing Constraints in Sequential Designs. 63 Sources: TSR, Katz, Boriello & Vahid Timing Constraints in Sequential esigns 63 Sources: TSR, Katz, Boriello & Vahid Where we are now. What we covered last time: FSMs What we ll do next: Timing constraints Upcoming deadlines: ZyBook today:

More information

DE58/DC58 LOGIC DESIGN DEC 2014

DE58/DC58 LOGIC DESIGN DEC 2014 Q.2 a. In a base-5 number system, 3 digit representations is used. Find out (i) Number of distinct quantities that can be represented.(ii) Representation of highest decimal number in base-5. Since, r=5

More information

FYSE420 DIGITAL ELECTRONICS

FYSE420 DIGITAL ELECTRONICS FYSE42 IGITAL ELECTRONICS Lecture 4 [] [2] [3] IGITAL LOGIC CIRCUIT ANALYSIS & ESIGN Nelson, Nagle, Irvin, Carrol ISBN -3-463894-8 IGITAL ESIGN Morris Mano Fourth edition ISBN -3-98924-3 igital esign Principles

More information

COE 202: Digital Logic Design Sequential Circuits Part 3. Dr. Ahmad Almulhem ahmadsm AT kfupm Phone: Office:

COE 202: Digital Logic Design Sequential Circuits Part 3. Dr. Ahmad Almulhem   ahmadsm AT kfupm Phone: Office: COE 202: Digital Logic Design Sequential Circuits Part 3 Dr. Ahmad Almulhem Email: ahmadsm AT kfupm Phone: 860-7554 Office: 22-324 Objectives State Reduction and Assignment Design of Synchronous Sequential

More information

Ch 7. Finite State Machines. VII - Finite State Machines Contemporary Logic Design 1

Ch 7. Finite State Machines. VII - Finite State Machines Contemporary Logic Design 1 Ch 7. Finite State Machines VII - Finite State Machines Contemporary Logic esign 1 Finite State Machines Sequential circuits primitive sequential elements combinational logic Models for representing sequential

More information

XI STANDARD [ COMPUTER SCIENCE ] 5 MARKS STUDY MATERIAL.

XI 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 information

ECE/Comp Sci 352 Digital Systems Fundamentals. Charles R. Kime Section 2 Fall Logic and Computer Design Fundamentals

ECE/Comp Sci 352 Digital Systems Fundamentals. Charles R. Kime Section 2 Fall Logic and Computer Design Fundamentals University of Wisconsin - Madison ECE/Comp Sci 352 Digital Systems Fundamentals Charles R. Kime Section 2 Fall 2001 Lecture 5 Registers & Counters Part 2 Charles Kime Counters Counters are sequential circuits

More information

Faculty of Engineering. FINAL EXAMINATION FALL 2008 (December2008) ANSWER KEY

Faculty of Engineering. FINAL EXAMINATION FALL 2008 (December2008) ANSWER KEY 1 McGill University Faculty of Engineering DIGITAL SYSTEM DESIGN ECSE-323 FINAL EXAMINATION FALL 2008 (December2008) ANSWER KEY STUDENT NAME McGILL I.D. NUMBER Examiner: Prof. J. Clark Signature: Associate

More information

Logic and Computer Design Fundamentals. Chapter 8 Sequencing and Control

Logic and Computer Design Fundamentals. Chapter 8 Sequencing and Control Logic and Computer Design Fundamentals Chapter 8 Sequencing and Control Datapath and Control Datapath - performs data transfer and processing operations Control Unit - Determines enabling and sequencing

More information

Introduction 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 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 information

or 0101 Machine

or 0101 Machine Synchronous State Graph or Synchronous State Graph or Detector Design a state graph for a machine with: One input X, one output Z. Z= after receiving the complete sequence or Overlapped sequences are detected.

More information

Present Next state Output state w = 0 w = 1 z A A B 0 B A C 0 C A C 1

Present Next state Output state w = 0 w = 1 z A A B 0 B A C 0 C A C 1 W Combinational circuit Flip-flops Combinational circuit Z cycle: t t t 2 t 3 t 4 t 5 t 6 t 7 t 8 t 9 t : : Figure 8.. The general form of a sequential circuit. Figure 8.2. Sequences of input and output

More information

Chapter 5 Synchronous Sequential Logic

Chapter 5 Synchronous Sequential Logic Chapter 5 Synchronous Sequential Logic Sequential circuit: A circuit that includes memory elements. In this case the output depends not only on the current input but also on the past inputs. Memory A synchronous

More information

Example: vending machine

Example: vending machine Example: vending machine Release item after 15 cents are deposited Single coin slot for dimes, nickels o change Reset Coin Sensor Vending Machine FSM Open Release Mechanism Clock Spring 2005 CSE370 - guest

More information

Shift Register Counters

Shift Register Counters Shift Register Counters Shift register counter: a shift register with the serial output connected back to the serial input. They are classified as counters because they give a specified sequence of states.

More information

Digital Design. Sequential Logic

Digital Design. Sequential Logic Principles Of igital esign Chapter 6 Sequential Logic Chapter preview Boolean algebra 3 Logic gates and flip-flops 3 Finite-state machine 6 Logic design techniques 4 Sequential design techniques 6 Binary

More information