CMPT-150-e1: Introduction to Computer Design Final Exam
|
|
- Ashley Parker
- 5 years ago
- Views:
Transcription
1 CMPT-150-e1: Introduction to Computer Design Final Exam April 13, 2007 First name(s): Surname: Student ID: Instructions: No aids are allowed in this exam. Make sure to fill in your details. Write your answers neatly on these sheets. Use the exam booklet provided to you for your drafts. There are 10 questions in 14 pages in this exam, please attempt all. The last 4 pages contain relevant assembler directives and instructions. Next to every question appears a suggested time to spend on the question. Total marks: 110. Time: 3 hours. Question 1 [5 minutes, 5 marks] A state diagram for a sequential circuit has M states. We wish to assign each of the states a unique name which is an n-bit binary word. What is the smallest value of n that we can use? Explain. n bits can represent 2 n different binary words. Therefore, n is an integer such that 2 n-1 < M 2 n, thus, n = log 2 M. Question 2 What is register PC used for in the CPU12? [2 minutes, 5 marks] Register PC contains the address of the next instruction to be executed.
2 Question 3 [3 minutes, 5 marks] Describe the difference between the Mealy model and the Moore model for sequential circuits. In the Mealy model the output signals are Boolean functions of the input signals and the current state, while in the Moore model the output signals depends only on the current state. Question 4 Describe the steps of the fetch-execute cycle of a CPU. [5 minutes, 5 marks] 1. Fetch the next instruction to be executed from memory. 2. Decode the instruction. 3. Execute the instruction and (possibly) store the result. 4. Go back to step 1. Question 5 [25 minutes, 15 marks] Design a combinatorial circuit that converts a 3-bit signed number from sign-magnitude representation to 2 s complement representation. Denote the input by XYZ (X is the most significant bit) and the output by ABC (A is the most significant bit). a. Complete the truth table for the circuit. X Y Z A B C
3 b. Write A and B as sum of minterms, and C as a product of maxterms. Use both short and explicit representations. A = ( 5,6,7) = m XYZ + XYZ + XYZ B = ( 2,3,5,6) = XYZ + XYZ + XYZ + XYZ m C = M ( 0,2,4,6) = ( X + Y + Z)( X + Y + Z)( X + Y + Z)( X + Y + Z) c. Obtain a minimized SOP representation for each output signal using K-Maps. Specify the essential and prime implicants in each K-Map. A B C YZ X X YZ YZ X Prime Implicants: Prime Implicants: Prime Implicants: XZ, XY X YZ, YZ, XY Z Essential Implicants: Essential Implicants: Essential Implicants: XZ, XY X YZ, YZ, XY Z A = XZ + XY B = XYZ + YZ + XY C = Z Question 6 [10 minutes, 10 marks] Instead of using CPU12 s stack and stack pointer, it is possible to use a user-defined stack, which is pointed by register IX or IY. In the following code such a stack is defined using IX as a pointer for the stack. Complete the missing instructions for pushing the content of Accumulator A into the stack and then pulling the value at the top of the stack into Accumulator B.
4 MY_STACK EQU $2000 ORG $0800 ENTRY: LDX #MY_STACK ; IX <-- $2000 LDAA #$90 ; A <-- $90 STAA $1,-X ; IX <-- IX-1, Mem[IX] <-- A LDAB $1,X+ ; B <-- Mem[IX], IX <-- IX+1 Question 7 [15 minutes, 10 marks] The 8 outputs of a 3-to-8 decoder are connected to the information inputs of an 8-to-1 MUX as shown. a b c D 0 I 0 S 2 S 1 S 0 D 1 I 1 z y x A 0 A 1 A 2 3-to-8 Decoder D 2 I 2 D 3 I 3 D 4 I 4 D 5 I 5 8-to-1 MUX f D 6 I 6 D 7 I 7 Denote the inputs to the decoder by x,y,z and the select inputs of the MUX by a,b,c. Express the single output f of the MUX in terms of x,y,z,a,b,c in a SOP representation. Solution: f = xyzab c + xyzab c + xyzabc + xyzab c + xyzabc + xyzab c + xyzabc + xyzabc Question 8 [40 minutes, 20 marks] You are to design a controller (sequential circuit) for an elevator in a four-floor building with no basement (that is, the floors are numbered 0,1,2, and 3). To simplify things, assume the elevator can only be summoned to one floor. The desired floor is indicated by a 2-bit unsigned binary number A 1 A 0 (for example, A 1=1 and A0=0 means the elevator is summoned to floor 2). The controller has two outputs: M a move signal which is 1 if the elevator is moving and 0 otherwise. For example, if the elevator is currently at floor 2 and A 1 A 0 =10, then M=0. D a direction signal which is 1 if the elevator is moving up and 0 if the elevator is moving down. If the elevator is not moving this signal is ignored.
5 Assume that the elevator is initially at floor 0 and that it takes the elevator one clock cycle to move one floor. a. Write the state diagram of the controller. Use the Mealy model. What represents each state? The states represent the current location (floor) of the elevator. 01,10,11/1,1 10,11/1,1 11/1,1 00/1,0 00,01/1, ,01,10/1,0 3 00/0,X 01/0,X 10/0,X 11/0,X b. Assign names to the states and complete the state table of the controller. F 1 and F 0 represent the current state. (The last two columns are there to help you answer the next section. You may leave them empty.) We assign names according to the floor number. A 1 0 F F 1 F 0 T1 T0 A M D X X X X
6 c. Assuming the controller is to be implemented using T flip-flops and basic gates (NOT and multiple inputs AND and OR gates), obtain minimized equations for each output signal and each T signal of a T flip-flop. Justify the equations you obtained. Recall the characteristic table of a T flip-flop: T Q + 0 Q 1 Q F 1 F1F 0 A 1 A 0 A 1 A X X X X T + 0 = M = A1 F1 + A1 F1 + A0 A0 D = A1 F1 + A1 A0 + F1 - A 0F1 can replace F 0F1 - A 1 can replace A 1 A0 F 1 F 0 A 1 A T + 1 = A1 F1 A1 F1
7 Question 9 Consider the following assembler code. [40 minutes, 20 marks] Address Machine Addressing Effective Code (Hex) Mode Address(es) 1 ORG $ FF VALUES: FCB $4,$2,$0,$1,$FF 3 ORG $ CF ENTRY: LDS #ENTRY Immediate LDAA VALUES Direct CE LDX #VALUES Immediate E6 E4 LDAB A,X Register 0004 Offset Indexed 8 080A LOOP: ABA Implied 9 080C 2C FC BGE LOOP Relative E A6 20 LDAA $1,+X Pre-auto 0001 Increment 0002 Indexed F8 BNE LOOP Relative C7 CLRB Implied E6 E7 LDAB [D,X] Indirect Register Indexed F SWI A6 NOP 0001 a. Determine the addressing mode of every assembly instruction (do not fill shaded cells). b. Fill in the address in memory and machine code for the constants in line 2 and for every assembly instruction (do not fill shaded cells). c. Determine the effective address of every assembly instruction (do not fill shaded cells). If the instruction is executed more than once, and different effective addresses are used, write them all. d. How many times is line 8 executed? 8 e. What is the content (in binary) of register D when the program terminates?
8 Question 10 Consider the following partial assembler code: ORG $0000 VAL1: FCB $10 VAL2: FCB $20 [20 minutes, 15 marks] ORG $0800 ENTRY: LDS #ENTRY LDAA #$15 LDX #VAL1 PSHX PSHA JSR MY_MAX ; now VAL1 contains $15 LEAS $3,SP ; SP <-- SP+3 LDX #VAL2 PSHX PSHA JSR MY_MAX ; now VAL2 contains $20 LEAS $3,SP ; SP <-- SP+3 ; halt instructions SWI NOP ORG $8000 MY_MAX: PSHA LDAA [$4,SP] SUBA $3,SP BGE MY_MAX_END LDAA $3,SP STAA [$4,SP] MY_MAX_END: PULA RTS a. Complete the missing instructions in the code. b. How many parameters are passed to subroutine MY_MAX? What parameter-passing technique is used for each parameter? MY_MAX receives two parameters. The first parameter is passed by reference (its address is stored on the stack), while the second parameter (appears higher on the stack) is passed by value. c. Describe the functionality of subroutine MY_MAX. The first value (the one passed by address) is replaced by the second value, if the second value is greater than the first value.
Computer Science Final Examination Friday December 14 th 2001
Computer Science 03 60 265 Final Examination Friday December 14 th 2001 Dr. Robert D. Kent and Dr. Alioune Ngom Last Name: First Name: Student Number: INSTRUCTIONS EXAM DURATION IS 3 HOURs. CALCULATORS,
More informationKing 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 informationEE 209 Spiral 1 Exam Solutions Name:
EE 29 Spiral Exam Solutions Name:.) Answer the following questions as True or False a.) A 4-to- multiplexer requires at least 4 select lines: true / false b.) An 8-to- mux and no other logic can be used
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 informationOutcomes. Spiral 1 / Unit 5. Logic Function Synthesis KARNAUGH MAPS. Karnaugh Maps
-. -. Spiral / Unit Mark Redekopp Outcomes I know the difference between combinational and sequential logic and can name examples of each. I understand latency, throughput, and at least technique to improve
More informationSpiral 1 / Unit 5. Karnaugh Maps
-. Spiral / Unit Karnaugh Maps -. Outcomes I know the difference between combinational and sequential logic and can name examples of each. I understand latency, throughput, and at least technique to improve
More informationOutcomes. Spiral 1 / Unit 5. Logic Function Synthesis KARNAUGH MAPS. Karnaugh Maps
-. -. Spiral / Unit Mark Redekopp Outcomes I know the difference between combinational and sequential logic and can name examples of each. I understand latency, throughput, and at least technique to improve
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 informationCPE100: 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 information3. 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 informationThe 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 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 informationKing 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 informationCPE100: 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 informationComputer Science. Questions for discussion Part II. Computer Science COMPUTER SCIENCE. Section 4.2.
COMPUTER SCIENCE S E D G E W I C K / W A Y N E PA R T I I : A L G O R I T H M S, T H E O R Y, A N D M A C H I N E S Computer Science Computer Science An Interdisciplinary Approach Section 4.2 ROBERT SEDGEWICK
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 informationCOMPUTER SCIENCE TRIPOS
CST0.2017.2.1 COMPUTER SCIENCE TRIPOS Part IA Thursday 8 June 2017 1.30 to 4.30 COMPUTER SCIENCE Paper 2 Answer one question from each of Sections A, B and C, and two questions from Section D. Submit the
More informationUniversity of Minnesota Department of Electrical and Computer Engineering
University of Minnesota Department of Electrical and Computer Engineering EE2301 Fall 2008 Introduction to Digital System Design L. L. Kinney Final Eam (Closed Book) Solutions Please enter your name, ID
More informationLecture 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 informationENEL Digital Circuit Design. Final Examination
ELECTRICAL AND COMPUTER ENGINEERING ENEL 353 - Digital Circuit Design Final Examination Friday, December 17, 1999 Red Gymnasium, 3:30PM - 6:30 PM Instructions: Time allowed is 3 hours. The examination
More informationMemory Elements I. CS31 Pascal Van Hentenryck. CS031 Lecture 6 Page 1
Memory Elements I CS31 Pascal Van Hentenryck CS031 Lecture 6 Page 1 Memory Elements (I) Combinational devices are good for computing Boolean functions pocket calculator Computers also need to remember
More informationUniversity 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 informationFaculty 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 informationCSE140: 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 informationMC9211 Computer Organization
MC92 Computer Organization Unit : Digital Fundamentals Lesson2 : Boolean Algebra and Simplification (KSB) (MCA) (29-2/ODD) (29 - / A&B) Coverage Lesson2 Introduces the basic postulates of Boolean Algebra
More information9.1. Unit 9. Implementing Combinational Functions with Karnaugh Maps or Memories
. Unit Implementing Combinational Functions with Karnaugh Maps or Memories . Outcomes I can use Karnaugh maps to synthesize combinational functions with several outputs I can determine the appropriate
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 informationName. ECE-200 Intelligent Systems
Name Spring 2003 EE-200 Intelligent Systems Pracice Final Solution ll problems have the same weight Problem 1. We are working with a multiplexor that is to switch between four sources (inputs), each one
More informationLecture 6: Manipulation of Algebraic Functions, Boolean Algebra, Karnaugh Maps
EE210: Switching Systems Lecture 6: Manipulation of Algebraic Functions, Boolean Algebra, Karnaugh Maps Prof. YingLi Tian Feb. 21/26, 2019 Department of Electrical Engineering The City College of New York
More informationNumber Systems 1(Solutions for Vol 1_Classroom Practice Questions)
Chapter Number Systems (Solutions for Vol _Classroom Practice Questions). ns: (d) 5 x + 44 x = x ( x + x + 5 x )+( x +4 x + 4 x ) = x + x + x x +x+5+x +4x+4 = x + x + x 5x 6 = (x6) (x+ ) = (ase cannot
More informationLecture 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 informationCOE 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 informationBER KELEY D AV IS IR VINE LOS AN GELES RIVERS IDE SAN D IEGO S AN FRANCISCO
UN IVERSIT Y O F CA LIFO RNI A AT BERKELEY BER KELEY D AV IS IR VINE LOS AN GELES RIVERS IDE SAN D IEGO S AN FRANCISCO SAN TA BARBA RA S AN TA CRUZ De p a r tm en t of Ele ctr i ca l En gin e e rin g a
More informationINF2270 Spring Philipp Häfliger. Lecture 8: Superscalar CPUs, Course Summary/Repetition (1/2)
INF2270 Spring 2010 Philipp Häfliger Summary/Repetition (1/2) content From Scalar to Superscalar Lecture Summary and Brief Repetition Binary numbers Boolean Algebra Combinational Logic Circuits Encoder/Decoder
More informationDesign at the Register Transfer Level
Week-7 Design at the Register Transfer Level Algorithmic State Machines Algorithmic State Machine (ASM) q Our design methodologies do not scale well to real-world problems. q 232 - Logic Design / Algorithmic
More informationCHAPTER1: Digital Logic Circuits Combination Circuits
CS224: Computer Organization S.KHABET CHAPTER1: Digital Logic Circuits Combination Circuits 1 PRIMITIVE LOGIC GATES Each of our basic operations can be implemented in hardware using a primitive logic gate.
More informationTotal Time = 90 Minutes, Total Marks = 50. Total /50 /10 /18
University of Waterloo Department of Electrical & Computer Engineering E&CE 223 Digital Circuits and Systems Midterm Examination Instructor: M. Sachdev October 23rd, 2007 Total Time = 90 Minutes, Total
More informationDepartment of Electrical & Electronics EE-333 DIGITAL SYSTEMS
Department of Electrical & Electronics EE-333 DIGITAL SYSTEMS 1) Given the two binary numbers X = 1010100 and Y = 1000011, perform the subtraction (a) X -Y and (b) Y - X using 2's complements. a) X = 1010100
More informationTotal Time = 90 Minutes, Total Marks = 100. Total /10 /25 /20 /10 /15 /20
University of Waterloo Department of Electrical & Computer Engineering E&CE 223 Digital Circuits and Systems Midterm Examination Instructor: M. Sachdev October 30th, 2006 Total Time = 90 Minutes, Total
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 informationCPE/EE 422/522. Chapter 1 - Review of Logic Design Fundamentals. Dr. Rhonda Kay Gaede UAH. 1.1 Combinational Logic
CPE/EE 422/522 Chapter - Review of Logic Design Fundamentals Dr. Rhonda Kay Gaede UAH UAH Chapter CPE/EE 422/522. Combinational Logic Combinational Logic has no control inputs. When the inputs to a combinational
More informationMidterm Examination # 1 Wednesday, February 25, Duration of examination: 75 minutes
Page 1 of 10 School of Computer Science 60-265-01 Computer Architecture and Digital Design Winter 2009 Semester Midterm Examination # 1 Wednesday, February 25, 2009 Student Name: First Name Family Name
More informationLogic 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 informationFinal Exam. ECE 25, Spring 2008 Thursday, June 12, Problem Points Score Total 90
Final Exam ECE 25, Spring 2008 Thursday, June 12, 2008 Name: PID: Problem Points Score 1 10 2 10 3 10 4 10 5 10 6 10 7 10 8 10 9 10 Total 90 1) Number representation (10 pts) a) For each binary vector
More informationWritten exam with solutions IE Digital Design Friday 21/
Written exam with solutions IE204-5 Digital Design Friday 2/0 206 09.00-3.00 General Information Examiner: Ingo Sander. Teacher: Kista, William Sandvist tel 08-7904487, Elena Dubrova phone 08-790 4 4 Exam
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 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 informationWe are here. Assembly Language. Processors Arithmetic Logic Units. Finite State Machines. Circuits Gates. Transistors
CSC258 Week 3 1 Logistics If you cannot login to MarkUs, email me your UTORID and name. Check lab marks on MarkUs, if it s recorded wrong, contact Larry within a week after the lab. Quiz 1 average: 86%
More informationChapter 4. Combinational: Circuits with logic gates whose outputs depend on the present combination of the inputs. elements. Dr.
Chapter 4 Dr. Panos Nasiopoulos Combinational: Circuits with logic gates whose outputs depend on the present combination of the inputs. Sequential: In addition, they include storage elements Combinational
More informationWritten exam for IE1204/5 Digital Design with solutions Thursday 29/
Written exam for IE4/5 Digital Design with solutions Thursday 9/ 5 9.-. General Information Examiner: Ingo Sander. Teacher: William Sandqvist phone 8-794487 Exam text does not have to be returned when
More information11.1 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 informationSequential 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 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 informationCMP 338: Third Class
CMP 338: Third Class HW 2 solution Conversion between bases The TINY processor Abstraction and separation of concerns Circuit design big picture Moore s law and chip fabrication cost Performance What does
More informationPractice Final Exam Solutions
The University of Michigan Department of Electrical Engineering and Computer Science EECS 270 Fall 2003 Practice Final Exam Solutions Name: UM ID: For all questions, show all work that leads to your answer.
More informationCombinational Logic. Mantıksal Tasarım BBM231. section instructor: Ufuk Çelikcan
Combinational Logic Mantıksal Tasarım BBM23 section instructor: Ufuk Çelikcan Classification. Combinational no memory outputs depends on only the present inputs expressed by Boolean functions 2. Sequential
More information(Boolean Algebra, combinational circuits) (Binary Codes and -arithmetics)
Task 1. Exercises: Logical Design of Digital Systems Seite: 1 Self Study (Boolean Algebra, combinational circuits) 1.1 Minimize the function f 1 a ab ab by the help of Boolean algebra and give an implementation
More informationDigital Logic Design. Midterm #2
EECS: igital Logic esign r. nthony. Johnson s7m2s_dild7.fm - igital Logic esign Midterm #2 Problems Points. 5 2. 4 3. 6 Total 5 Was the exam fair? yes no EECS: igital Logic esign r. nthony. Johnson s7m2s_dild7.fm
More informationChapter 2 : Boolean Algebra and Logic Gates
Chapter 2 : Boolean Algebra and Logic Gates By Electrical Engineering Department College of Engineering King Saud University 1431-1432 2.1. Basic Definitions 2.2. Basic Theorems and Properties of Boolean
More informationEECS 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 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 5 Following the slides of Dr. Ahmed H. Madian ذو الحجة 1438 ه Winter
More informationCSE 140 Midterm 3 version A Tajana Simunic Rosing Spring 2015
CSE 140 Midterm 3 version A Tajana Simunic Rosing Spring 2015 Name of the person on your left : Name of the person on your right: 1. 20 points 2. 20 points 3. 20 points 4. 15 points 5. 15 points 6. 10
More informationFSM 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 informationSimplifying Logic Circuits with Karnaugh Maps
Simplifying Logic Circuits with Karnaugh Maps The circuit at the top right is the logic equivalent of the Boolean expression: f = abc + abc + abc Now, as we have seen, this expression can be simplified
More information( c) Give logic symbol, Truth table and circuit diagram for a clocked SR flip-flop. A combinational circuit is defined by the function
Question Paper Digital Electronics (EE-204-F) MDU Examination May 2015 1. (a) represent (32)10 in (i) BCD 8421 code (ii) Excess-3 code (iii) ASCII code (b) Design half adder using only NAND gates. ( c)
More information/ M Morris Mano Digital Design Ahmad_911@hotmailcom / / / / wwwuqucscom Binary Systems Introduction - Digital Systems - The Conversion Between Numbering Systems - From Binary To Decimal - Octet To Decimal
More information21 Yes, in LFP between ldd y and stx y. A) accuracy. J) desk check. D) bandwidth. E (partial credit B) D. P) latency. U) polled interrupt W) private
EE345L Spring 2005 Final Version A Solution Page 1 Jonathan W. Valvano May 14, 2005, 9am - 12 noon First: Last: (4) Question 1. Give max number of bytes on the stack (4) Question 2. Yes/no. If yes, state
More informationPAST EXAM PAPER & MEMO N3 ABOUT THE QUESTION PAPERS:
EKURHULENI TECH COLLEGE. No. 3 Mogale Square, Krugersdorp. Website: www. ekurhulenitech.co.za Email: info@ekurhulenitech.co.za TEL: 011 040 7343 CELL: 073 770 3028/060 715 4529 PAST EXAM PAPER & MEMO N3
More informationFundamentals 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 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 informationCOVER SHEET: Problem#: Points
EEL 4712 Midterm 3 Spring 2017 VERSION 1 Name: UFID: Sign here to give permission for your test to be returned in class, where others might see your score: IMPORTANT: Please be neat and write (or draw)
More informationEECS 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 informationReview for Final Exam
CSE140: Components and Design Techniques for Digital Systems Review for Final Exam Mohsen Imani CAPE Please submit your evaluations!!!! RTL design Use the RTL design process to design a system that has
More informationPrinciples of Computer Architecture. Appendix B: Reduction of Digital Logic. Chapter Contents
B-1 Principles of Computer Architecture Miles Murdocca and Vincent Heuring Appendix B: Reduction of Digital Logic B-2 Chapter Contents B.1 Reduction of Combinational Logic and Sequential Logic B.2 Reduction
More informationSequential 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 informationSchedule. ECEN 301 Discussion #25 Final Review 1. Date Day Class No. 1 Dec Mon 25 Final Review. Title Chapters HW Due date. Lab Due date.
Schedule Date Day Class No. Dec Mon 25 Final Review 2 Dec Tue 3 Dec Wed 26 Final Review Title Chapters HW Due date Lab Due date LAB 8 Exam 4 Dec Thu 5 Dec Fri Recitation HW 6 Dec Sat 7 Dec Sun 8 Dec Mon
More informationChapter 2 (Lect 2) Canonical and Standard Forms. Standard Form. Other Logic Operators Logic Gates. Sum of Minterms Product of Maxterms
Chapter 2 (Lect 2) Canonical and Standard Forms Sum of Minterms Product of Maxterms Standard Form Sum of products Product of sums Other Logic Operators Logic Gates Basic and Multiple Inputs Positive and
More informationDEPARTMENT OF ELECTRICAL & COMPUTER ENGINEERING OLD DOMINION UNIVERSITY Ph.D. DIAGNOSTIC EXAMINATION Spring 2013 ODU HONOR PLEDGE
DEPARTMENT OF ELECTRICAL & COMPUTER ENGINEERING OLD DOMINION UNIVERSITY Ph.D. DIAGNOSTIC EXAMINATION Spring 2013 ODU HONOR PLEDGE I pledge to support the Honor system of Old Dominion University. I will
More informationECEN 248: INTRODUCTION TO DIGITAL SYSTEMS DESIGN. Week 9 Dr. Srinivas Shakkottai Dept. of Electrical and Computer Engineering
ECEN 248: INTRODUCTION TO DIGITAL SYSTEMS DESIGN Week 9 Dr. Srinivas Shakkottai Dept. of Electrical and Computer Engineering TIMING ANALYSIS Overview Circuits do not respond instantaneously to input changes
More informationWritten reexam with solutions for IE1204/5 Digital Design Monday 14/
Written reexam with solutions for IE204/5 Digital Design Monday 4/3 206 4.-8. General Information Examiner: Ingo Sander. Teacher: William Sandqvist phone 08-7904487 Exam text does not have to be returned
More informationFundamentals of Computer Systems
Fundamentals of Computer Systems Review for the Midterm Stephen A. Edwards Columbia University Spring 22 The Midterm 75 minutes 4 5 problems Closed book Simple calculators are OK, but unnecessary One double-sided
More informationENGG 1203 Tutorial_9 - Review. Boolean Algebra. Simplifying Logic Circuits. Combinational Logic. 1. Combinational & Sequential Logic
ENGG 1203 Tutorial_9 - Review Boolean Algebra 1. Combinational & Sequential Logic 2. Computer Systems 3. Electronic Circuits 4. Signals, Systems, and Control Remark : Multiple Choice Questions : ** Check
More informationUnit 2 Session - 6 Combinational Logic Circuits
Objectives Unit 2 Session - 6 Combinational Logic Circuits Draw 3- variable and 4- variable Karnaugh maps and use them to simplify Boolean expressions Understand don t Care Conditions Use the Product-of-Sums
More informationCounters. We ll look at different kinds of counters and discuss how to build them
Counters We ll look at different kinds of counters and discuss how to build them These are not only examples of sequential analysis and design, but also real devices used in larger circuits 1 Introducing
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 informationELEC 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 informationFinite 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 informationECE20B Final Exam, 200 Point Exam Closed Book, Closed Notes, Calculators Not Allowed June 12th, Name
C20B Final xam, 200 Point xam Closed Book, Closed Notes, Calculators Not llowed June 2th, 2003 Name Guidelines: Please remember to write your name on your bluebook, and when finished, to staple your solutions
More informationCombinational Logic Fundamentals
Topic 3: Combinational Logic Fundamentals In this note we will study combinational logic, which is the part of digital logic that uses Boolean algebra. All the concepts presented in combinational logic
More informationPhiladelphia 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 informationLogical Design of Digital Systems
Lecture 4 Table of Content 1. Combinational circuit design 2. Elementary combinatorial circuits for data transmission 3. Memory structures 4. Programmable logic devices 5. Algorithmic minimization approaches
More informationContents. Chapter 3 Combinational Circuits Page 1 of 36
Chapter 3 Combinational Circuits Page of 36 Contents Combinational Circuits...2 3. Analysis of Combinational Circuits...3 3.. Using a Truth Table...3 3..2 Using a Boolean Function...6 3.2 Synthesis of
More informationDIGITAL LOGIC DESIGN
DIGITAL LOGIC DESIGN NUMBERS SYSTEMS AND CODES Any number in one base system can be converted into another base system Types 1) decimal to any base 2) Any base to decimal 3) Any base to Any base Complements
More informationSpiral 1 / Unit 3
-3. Spiral / Unit 3 Minterm and Maxterms Canonical Sums and Products 2- and 3-Variable Boolean Algebra Theorems DeMorgan's Theorem Function Synthesis use Canonical Sums/Products -3.2 Outcomes I know the
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 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 informationCOMPUTER SCIENCE TRIPOS
CST.2016.2.1 COMPUTER SCIENCE TRIPOS Part IA Tuesday 31 May 2016 1.30 to 4.30 COMPUTER SCIENCE Paper 2 Answer one question from each of Sections A, B and C, and two questions from Section D. Submit the
More informationChapter 2. Boolean Algebra and Logic Gates
Chapter 2 Boolean Algebra and Logic Gates Basic Definitions A binary operator defined on a set S of elements is a rule that assigns, to each pair of elements from S, a unique element from S. The most common
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 informationFunctions. Computers take inputs and produce outputs, just like functions in math! Mathematical functions can be expressed in two ways:
Boolean Algebra (1) Functions Computers take inputs and produce outputs, just like functions in math! Mathematical functions can be expressed in two ways: An expression is finite but not unique f(x,y)
More information