Computer Arithmetic andveriloghdl Fundamentals
|
|
|
- Christina Gilmore
- 6 years ago
- Views:
Transcription
1 Computer Arithmetic andveriloghdl Fundamentals Joseph Cavanagh Santa Clara University California, USA ( r ec) CRC Press vf J TayiorS«. Francis Group ^"*" "^ Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an tnforma business
2 CONTENTS Preface xv Chapter 1 Number Systems and Number Representations Number Systems Binary Number System Octal Number System Decimal Number System Number Representations Sign Magnitude Diminished-Radix Complement Radix Complement Problems 22 Chapter 2 Logic Design Fundamentals Boolean Algebra Minimization Techniques Algebraic Minimization Karnaugh Maps Quine-McCluskey Algorithm Combinational Logic Multiplexers Decoders Encoders Comparators Sequential Logic Counters Moore Machines Mealy Machines Problems 84 Chapter 3 Introduction to Verilog HDL Built-in Primitives User-Defined Primitives Dataflow Modeling Continuous Assignment Behavioral Modeling Initial Statement 129
3 viii Contents Always Statement Intrastatement Delay Interstatement Delay Blocking Assignments Nonblocking Assignments Conditional Statements Case Statement Loop Statements Structural Modeling Module Instantiation Design Examples Problems 179 Chapter 4 Fixed-Point Addition Ripple-Carry Addition Carry Lookahead Addition Carry-Save Addition Multiple-Bit Addition Multiple-Operand Addition Memory-Based Addition Carry-Select Addition Serial Addition Problems 234 Chapter 5 Fixed-Point Subtraction Twos Complement Subtraction Ripple-Carry Subtraction Carry Lookahead Addition/Subtraction Behavioral Addition/Subtraction Problems 271 Chapter 6 Fixed-Point Multiplication Sequential Add-Shift Multiplication Sequential Add-Shift Multiplication Hardware Algorithm Sequential Add-Shift Multiplication Version Sequential Add-Shift Multiplication Version Booth Algorithm Multiplication Bit-Pair Recoding Multiplication 304
4 Contents Chapter 7 Array Multiplication Table Lookup Multiplication Memory-Based Multiplication Multiple-Operand Multiplication Problems Fixed-Point Division Chapter 8 Sequential Shift-Add/Subtract Restoring Division Restoring Division Version Restoring Division Version 2 Sequential Shift-Add/Subtract Nonrestormg Division SRT Division SRT Division Using Table Lookup SRT Division Using the Case Statement Multiplicative Division Array Division Problems Decimal Addition Chapter 9 Addition with Sum Correction Addition Using Multiplexers Addition with Memory-Based Correction Addition with Biased Augend Problems Decimal Subtraction Chapter ix Subtraction Examples 464 Two-Decade Addition/Subtraction Unit for A+B and A-B Two-Decade Addition/Subtraction Unit for A+B, A-B, andb-a 481 Problems 491 Decimal Multiplication Binary-to-BCD Conversion Multiplication Using Behavioral Modeling Multiplication Using Structural Modeling Multiplication Using Memory
5 x Contents 10.5 Multiplication Using Table Lookup Problems 528 Chapter 11 Decimal Division Restoring Division Version Restoring Division Version Division Using Table Lookup Problems 550 Chapter 12 Floating-Point Addition Floating-Point Format Biased Exponents Floating-Point Addition Overflow and Underflow General Floating-Point Organization Verilog HDL Implementation Problems 569 Chapter 13 Floating-Point Subtraction Numerical Examples Flowcharts Verilog HDL Implementations True Addition True Subtraction Version True Subtraction Version True Subtraction Version True Subtraction Version Problems 608 Chapter 14 Floating-Point Multiplication Double Bias Flowcharts Numerical Examples Verilog HDL Implementations Floating-Point Multiplication Version Floating-Point Multiplication Version Problems 631
6 Contents xi Chapter 15 Floating-Point Division Zero Bias Exponent Overflow/Underflow Flowcharts Numerical Examples Problems 646 Chapter 16 Additional Floating-Point Topics Rounding Methods Truncation Rounding Adder-Based Rounding Von Neumann Rounding Guard Bits Verilog HDL Implementations Adder-Based Rounding Using Memory Adder-Based Rounding Using Combinational Logic Adder-Based Rounding Using Behavioral Modeling Combined Truncation, Adder-Based, and von Neumann Rounding Problems 680 Chapter 17 Additional Topics in Computer Arithmetic Residue Checking Dataflow Modeling Structural Modeling Parity-Checked Shift Register Parity Prediction Condition Codes for Addition Logical and Algebraic Shifters Behavioral Modeling Structural Modeling Arithmetic and Logic Units Four-Function Arithmetic and Logic Unit Sixteen-Function Arithmetic and Logic Unit Count-Down Counter Shift Registers Parallel-In, Serial-Out Shift Register Serial-In, Serial-Out Shift Register 778
7 xii Contents Parallel-In, Serial-In, Serial-Out Shift Register Serial-In, Parallel-Out Shift Register Problems 795 Appendix A Verilog HDL Designs for Select Logic Functions 8 l A.l AND Gate 801 A.2 NAND Gate 806 A.3 OR Gate 809 A.4 NOR Gate 811 A.5 Exclusive-OR Function 814 A.6 Exclusive-NOR Function 818 A.7 Multiplexers 822 A.8 Decoders 825 A.9 Encoders 829 A.10 Priority Encoder 833 A.ll Binary-to-Gray Code Converter 836 A.12 Adder/Subtractor 843 Appendix В Event Queue 849 B.l Event Handling for Dataflow Assignments 849 B.2 Event Handling for Blocking Assignments 854 B.3 Event Handling for Nonblocking Assignments 857 B.4 Event Handling for Mixed Blocking and Nonblocking Assignments 861 Appendix С Verilog HDL Project Procedure 865 Appendix D Answers to Select Problems 867 Chapter 1 Number Systems and Number Representations 867 Chapter 2 Logic Design Fundamentals 869 Chapter 3 Introduction to Verilog HDL 873 Chapter 4 Fixed-Point Addition 883 Chapter 5 Fixed-Point Subtraction 887 Chapter 6 Fixed-Point Multiplication 891 Chapter 7 Fixed-Point Division 897 Chapter 8 Decimal Addition 903 Chapter 9 Decimal Subtraction 907
8 Contents xiii Chapter 10 Decimal Multiplication 908 Chapter 11 Decimal Division 912 Chapter 12 Floating-Point Addition 913 Chapter 13 Floating-Point Subtraction 915 Chapter 14 Floating-Point Multiplication 918 Chapter 15 Floating-Point Division 924 Chapter 16 Additional Floating-Point Topics 926 Chapter 17 Additional Topics in Computer Arithmetic 932 Index 943
Digital Design. Verilo. and. Fundamentals. fit HDL. Joseph Cavanagh. CRC Press Taylor & Francis Group Boca Raton London New York
Digital Design and Verilo fit HDL Fundamentals Joseph Cavanagh Santa Clara University California, USA CRC Press Taylor & Francis Group Boca Raton London New York CRC Press is an imprint of the Taylor &
Verilog HDL. Design Examples
Verilog HDL Design Examples Verilog HDL Design Examples Joseph Cavanagh Boca Raton London New York CRC Press is an imprint of the Taylor & Francis Group, an informa business CRC Press Taylor & Francis
CONTENTS CHAPTER 1: NUMBER SYSTEM. Foreword...(vii) Preface... (ix) Acknowledgement... (xi) About the Author...(xxiii)
CONTENTS Foreword...(vii) Preface... (ix) Acknowledgement... (xi) About the Author...(xxiii) CHAPTER 1: NUMBER SYSTEM 1.1 Digital Electronics... 1 1.1.1 Introduction... 1 1.1.2 Advantages of Digital Systems...
COPYRIGHTED MATERIAL INDEX
INDEX Absorption law, 31, 38 Acyclic graph, 35 tree, 36 Addition operators, in VHDL (VHSIC hardware description language), 192 Algebraic division, 105 AND gate, 48 49 Antisymmetric, 34 Applicable input
Injntu.com Injntu.com Injntu.com R16
1. a) What are the three methods of obtaining the 2 s complement of a given binary (3M) number? b) What do you mean by K-map? Name it advantages and disadvantages. (3M) c) Distinguish between a half-adder
Computer Architecture and Organization
3-1 Chapter 3 - Arithmetic Computer Architecture and Organization Miles Murdocca and Vincent Heuring Chapter 3 Arithmetic 3-2 Chapter 3 - Arithmetic Chapter Contents 3.1 Fixed Point Addition and Subtraction
Principles of Computer Architecture. Chapter 3: Arithmetic
3-1 Chapter 3 - Arithmetic Principles of Computer Architecture Miles Murdocca and Vincent Heuring Chapter 3: Arithmetic 3-2 Chapter 3 - Arithmetic 3.1 Overview Chapter Contents 3.2 Fixed Point Addition
CPE300: Digital System Architecture and Design
CPE300: Digital System Architecture and Design Fall 2011 MW 17:30-18:45 CBC C316 Arithmetic Unit 10122011 http://www.egr.unlv.edu/~b1morris/cpe300/ 2 Outline Recap Fixed Point Arithmetic Addition/Subtraction
Chap.3 3. Chap reduces the complexity required to represent the schematic diagram of a circuit Library
3.1 Combinational Circuits 2 Chap 3. logic circuits for digital systems: combinational vs sequential Combinational Logic Design Combinational Circuit (Chap 3) outputs are determined by the present applied
Digital Design Using Digilent FPGA Boards -- Verilog / Active-HDL Edition
Digital Design Using Digilent FPGA Boards -- Verilog / Active-HDL Edition Table of Contents 1. Introduction to Digital Logic 1 1.1 Background 1 1.2 Digital Logic 5 1.3 Verilog 8 2. Basic Logic Gates 9
Digital Fundamentals
Digital Fundamentals Tenth Edition Floyd Chapter 2 2009 Pearson Education, Upper 2008 Pearson Saddle River, Education NJ 07458. All Rights Reserved Decimal Numbers The position of each digit in a weighted
UPY14602-DIGITAL ELECTRONICS AND MICROPROCESSORS Lesson Plan
UPY14602-DIGITAL ELECTRONICS AND MICROPROCESSORS Lesson Plan UNIT I - NUMBER SYSTEMS AND LOGIC GATES Introduction to decimal- Binary- Octal- Hexadecimal number systems-inter conversions-bcd code- Excess
R07. Code No: V0423. II B. Tech II Semester, Supplementary Examinations, April
SET - 1 II B. Tech II Semester, Supplementary Examinations, April - 2012 SWITCHING THEORY AND LOGIC DESIGN (Electronics and Communications Engineering) Time: 3 hours Max Marks: 80 Answer any FIVE Questions
CHW 261: Logic Design
CHW 261: Logic Design Instructors: Prof. Hala Zayed Dr. Ahmed Shalaby http://www.bu.edu.eg/staff/halazayed14 http://bu.edu.eg/staff/ahmedshalaby14# Slide 1 Slide 2 Slide 3 Digital Fundamentals CHAPTER
At the ith stage: Input: ci is the carry-in Output: si is the sum ci+1 carry-out to (i+1)st state
Chapter 4 xi yi Carry in ci Sum s i Carry out c i+ At the ith stage: Input: ci is the carry-in Output: si is the sum ci+ carry-out to (i+)st state si = xi yi ci + xi yi ci + xi yi ci + xi yi ci = x i yi
EE 8351 Digital Logic Circuits Ms.J.Jayaudhaya, ASP/EEE
EE 8351 Digital Logic Circuits Ms.J.Jayaudhaya, ASP/EEE 1 Logic circuits for digital systems may be combinational or sequential. A combinational circuit consists of input variables, logic gates, and output
Topics. 6.1 Number Systems and Radix Conversion 6.2 Fixed-Point Arithmetic 6.3 Seminumeric Aspects of ALU Design 6.4 Floating-Point Arithmetic
6-1 Chapter 6 Computer Arithmetic and the Arithmetic Unit Chapter 6: Computer Arithmetic and the Arithmetic Unit Topics 6.1 Number Systems and Radix Conversion 6.2 Fixed-Point Arithmetic 6.3 Seminumeric
D I G I T A L C I R C U I T S E E
D I G I T A L C I R C U I T S E E Digital Circuits Basic Scope and Introduction This book covers theory solved examples and previous year gate question for following topics: Number system, Boolean algebra,
1. Mark the correct statement(s)
1. Mark the correct statement(s) 1.1 A theorem in Boolean algebra: a) Can easily be proved by e.g. logic induction b) Is a logical statement that is assumed to be true, c) Can be contradicted by another
VALLIAMMAI ENGINEERING COLLEGE. SRM Nagar, Kattankulathur DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING EC6302 DIGITAL ELECTRONICS
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur-603 203 DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING EC6302 DIGITAL ELECTRONICS YEAR / SEMESTER: II / III ACADEMIC YEAR: 2015-2016 (ODD
Hardware Modules for Safe Integer and Floating-Point Arithmetic
Hardware Modules for Safe Integer and Floating-Point Arithmetic A Thesis submitted to the Graduate School Of The University of Cincinnati In partial fulfillment of the requirements for the degree of Master
(ii) Simplify and implement the following SOP function using NOR gates:
DHANALAKSHMI COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING EE6301 DIGITAL LOGIC CIRCUITS UNIT I NUMBER SYSTEMS AND DIGITAL LOGIC FAMILIES PART A 1. How can an OR gate be
ii) Do the following conversions: output is. (a) (101.10) 10 = (?) 2 i) Define X-NOR gate. (b) (10101) 2 = (?) Gray (2) /030832/31034
No. of Printed Pages : 4 Roll No.... rd 3 Sem. / ECE Subject : Digital Electronics - I SECTION-A Note: Very Short Answer type questions. Attempt any 15 parts. (15x2=30) Q.1 a) Define analog signal. b)
PESIT Bangalore South Campus
INTERNAL ASSESSMENT TEST III Date : 21/11/2017 Max Marks : 40 Subject & Code : Computer Organization (15CS34) Semester : III (A & B) Name of the faculty: Mrs. Sharmila Banu Time : 11.30 am 1.00 pm Answer
EC2303-COMPUTER ARCHITECTURE AND ORGANIZATION
EC2303-COMPUTER ARCHITECTURE AND ORGANIZATION QUESTION BANK UNIT-II 1. What are the disadvantages in using a ripple carry adder? (NOV/DEC 2006) The main disadvantage using ripple carry adder is time delay.
R a) Simplify the logic functions from binary to seven segment display code converter (8M) b) Simplify the following using Tabular method
SET - 1 1. a) Convert the decimal number 250.5 to base 3, base 4 b) Write and prove de-morgan laws c) Implement two input EX-OR gate from 2 to 1 multiplexer (3M) d) Write the demerits of PROM (3M) e) What
VTU NOTES QUESTION PAPERS NEWS RESULTS FORUMS Arithmetic (a) The four possible cases Carry (b) Truth table x y
Arithmetic A basic operation in all digital computers is the addition and subtraction of two numbers They are implemented, along with the basic logic functions such as AND,OR, NOT,EX- OR in the ALU subsystem
www.vidyarthiplus.com Question Paper Code : 31298 B.E./B.Tech. DEGREE EXAMINATION, NOVEMBER/DECEMBER 2013. Third Semester Computer Science and Engineering CS 2202/CS 34/EC 1206 A/10144 CS 303/080230012--DIGITAL
Combinational Circuits
Combinational Circuits Combinational circuit consists of an interconnection of logic gates They react to their inputs and produce their outputs by transforming binary information n input binary variables
Department of Electrical and Computer Engineering University of Wisconsin - Madison. ECE/CS 352 Digital System Fundamentals.
Department of Electrical and Computer Engineering University of Wisconsin - Madison ECE/C 352 Digital ystem Fundamentals Quiz #2 Thursday, March 7, 22, 7:15--8:3PM 1. (15 points) (a) (5 points) NAND, NOR
Combinational Logic II
Combinational Logic II Ranga Rodrigo July 26, 2009 1 Binary Adder-Subtractor Digital computers perform variety of information processing tasks. Among the functions encountered are the various arithmetic
Digital System Design with SystemVerilog
Digital System Design with SystemVerilog Mark Zwolinski AAddison-Wesley Upper Saddle River, NJ Boston Indianapolis San Francisco New York Toronto Montreal London Munich Paris Madrid Capetown Sydney Tokyo
VALLIAMMAI ENGINEERING COLLEGE
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 603 203 DEPARTMENT OF INFORMATION TECHNOLOGY & COMPUTER SCIENCE AND ENGINEERING QUESTION BANK II SEMESTER CS6201- DIGITAL PRINCIPLE AND SYSTEM DESIGN
PRINCIPLES OF MODERN DIGITAL DESIGN. Parag K. Lala Cary and Lois Patterson Chair of Electrical Engineering Texas A&M University Texarkana
PRINCIPLES OF MODERN DIGITAL DESIGN Parag K. Lala Cary and Lois Patterson Chair of Electrical Engineering Texas A&M University Texarkana PRINCIPLES OF MODERN DIGITAL DESIGN PRINCIPLES OF MODERN DIGITAL
ECE 2030B 1:00pm Computer Engineering Spring problems, 5 pages Exam Two 10 March 2010
Instructions: This is a closed book, closed note exam. Calculators are not permitted. If you have a question, raise your hand and I will come to you. Please work the exam in pencil and do not separate
VALLIAMMAI ENGINEERING COLLEGE
VALLIAMMAI ENGINEERING COLLEGE SRM Nagar, Kattankulathur 603 203 DEPARTMENT OF INFORMATION TECHNOLOGY QUESTION BANK Academic Year 2018 19 III SEMESTER CS8351-DIGITAL PRINCIPLES AND SYSTEM DESIGN Regulation
Preface... xxi Chapter One: Digital Signals and Systems... 1 Chapter Two: Numbering Systems... 17
TABLE OF CONTENTS Preface...xxi Chapter One: Digital Signals and Systems... 1 1.1 Should Software Engineers Worry About Hardware?... 1 1.2 Non-Digital Signals... 3 1.3 Digital Signals... 4 1.4 Conversion
DHANALAKSHMI SRINIVASAN COLLEGE OF ENGINEERING AND TECHNOLOGY
DHANALAKSHMI SRINIVASAN COLLEGE OF ENGINEERING AND TECHNOLOGY Dept/Sem: II CSE/03 DEPARTMENT OF ECE CS8351 DIGITAL PRINCIPLES AND SYSTEM DESIGN UNIT I BOOLEAN ALGEBRA AND LOGIC GATES PART A 1. How many
Chapter 4. Combinational Logic
Chapter 4. Combinational Logic Tong In Oh 1 4.1 Introduction Combinational logic: Logic gates Output determined from only the present combination of inputs Specified by a set of Boolean functions Sequential
SUBJECT CODE: IT T35 DIGITAL SYSTEM DESIGN YEAR / SEM : 2 / 3
UNIT - I PART A (2 Marks) 1. Using Demorgan s theorem convert the following Boolean expression to an equivalent expression that has only OR and complement operations. Show the function can be implemented
CS6303 COMPUTER ARCHITECTURE LESSION NOTES UNIT II ARITHMETIC OPERATIONS ALU In computing an arithmetic logic unit (ALU) is a digital circuit that performs arithmetic and logical operations. The ALU is
Chapter Three. Digital Components
Chapter Three 3.1. Combinational Circuit A combinational circuit is a connected arrangement of logic gates with a set of inputs and outputs. The binary values of the outputs are a function of the binary
Chapter 4. Operations on Data
Chapter 4 Operations on Data 1 OBJECTIVES After reading this chapter, the reader should be able to: List the three categories of operations performed on data. Perform unary and binary logic operations
SOME ASSEMBLY REQUIRED
SOME ASSEMBLY REQUIRED Assembly Language Programming with the AVR Microcontroller TIMOTHY S. MARGUSH CRC Press Taylor & Francis Group CRC Press is an imprint of the Taylor & Francis Croup an Informa business
Combinational Logic. Prof. Wangrok Oh. Dept. of Information Communications Eng. Chungnam National University. Prof. Wangrok Oh(CNU) 1 / 93
Combinational Logic Prof. Wangrok Oh Dept. of Information Communications Eng. Chungnam National University Prof. Wangrok Oh(CNU) / 93 Overview Introduction 2 Combinational Circuits 3 Analysis Procedure
Combinational Logic Circuits
Combinational Logic Circuits By Dr. M. Hebaishy Digital Logic Design Ch- Rem.!) Types of Logic Circuits Combinational Logic Memoryless Outputs determined by current values of inputs Sequential Logic Has
FUNDAMENTALS OF DIGITAL CIRCUITS
FUNDAMENTALS OF DIGITAL CIRCUITS THIRD EDITION A. Anand Kumar Principal K.L. University College of Engineering K.L. University Green Fields, Vaddeswaram Guntur District Andhra Pradesh Delhi-110092 2014
SYLLABUS. osmania university CHAPTER - 1 : REGISTER TRANSFER LANGUAGE AND MICRO OPERATION CHAPTER - 2 : BASIC COMPUTER
Contents i SYLLABUS osmania university UNIT - I CHAPTER - 1 : REGISTER TRANSFER LANGUAGE AND MICRO OPERATION Difference between Computer Organization and Architecture, RTL Notation, Common Bus System using
UNIT II - COMBINATIONAL LOGIC Part A 2 Marks. 1. Define Combinational circuit A combinational circuit consist of logic gates whose outputs at anytime are determined directly from the present combination
Computer Arithmetic Ch 8
Computer Arithmetic Ch 8 ALU Integer Representation Integer Arithmetic Floating-Point Representation Floating-Point Arithmetic 1 Arithmetic Logical Unit (ALU) (2) (aritmeettis-looginen yksikkö) Does all
Computer Arithmetic Ch 8
Computer Arithmetic Ch 8 ALU Integer Representation Integer Arithmetic Floating-Point Representation Floating-Point Arithmetic 1 Arithmetic Logical Unit (ALU) (2) Does all work in CPU (aritmeettis-looginen
GATE CSE. GATE CSE Book. November 2016 GATE CSE
GATE CSE GATE CSE Book November 2016 GATE CSE Preface This book is made thanks to the effort of GATE CSE members and Praneeth who made most of the latex notes for GATE CSE. Remaining work of completing
Week 7: Assignment Solutions
Week 7: Assignment Solutions 1. In 6-bit 2 s complement representation, when we subtract the decimal number +6 from +3, the result (in binary) will be: a. 111101 b. 000011 c. 100011 d. 111110 Correct answer
DIRECTORATE OF TECHNICAL EDUCATION DIPLOMA IN ELECTRICAL AND ELECTRONICS ENGINEERING II YEAR M SCHEME IV SEMESTER.
DIRECTORATE OF TECHNICAL EDUCATION DIPLOMA IN ELECTRICAL AND ELECTRONICS ENGINEERING II YEAR M SCHEME IV SEMESTER 2015 2016 onwards DIGITAL ELECTRONICS CURRICULUM DEVELOPMENT CENTRE Curriculum Development
Basic Arithmetic (adding and subtracting)
Basic Arithmetic (adding and subtracting) Digital logic to show add/subtract Boolean algebra abstraction of physical, analog circuit behavior 1 0 CPU components ALU logic circuits logic gates transistors
Advanced Computer Architecture-CS501
Advanced Computer Architecture Lecture No. 34 Reading Material Vincent P. Heuring & Harry F. Jordan Chapter 6 Computer Systems Design and Architecture 6.1, 6.2 Summary Introduction to ALSU Radix Conversion
SIR C.R.REDDY COLLEGE OF ENGINEERING, ELURU DEPARTMENT OF INFORMATION TECHNOLOGY LESSON PLAN
SIR C.R.REDDY COLLEGE OF ENGINEERING, ELURU DEPARTMENT OF INFORMATION TECHNOLOGY LESSON PLAN SUBJECT: CSE 2.1.6 DIGITAL LOGIC DESIGN CLASS: 2/4 B.Tech., I SEMESTER, A.Y.2017-18 INSTRUCTOR: Sri A.M.K.KANNA
KING FAHD UNIVERSITY OF PETROLEUM & MINERALS COMPUTER ENGINEERING DEPARTMENT
KING FAHD UNIVERSITY OF PETROLEUM & MINERALS COMPUTER ENGINEERING DEPARTMENT COE 202: Digital Logic Design Term 162 (Spring 2017) Instructor: Dr. Abdulaziz Barnawi Class time: U.T.R.: 11:00-11:50AM Class
Objectives: 1. Design procedure. 2. Fundamental circuits. 1. Design procedure
Objectives: 1. Design procedure. 2. undamental circuits. 1. Design procedure Design procedure has five steps: o Specification. o ormulation. o Optimization. o Technology mapping. o Verification. Specification:
ECE 2030D Computer Engineering Spring problems, 5 pages Exam Two 8 March 2012
Instructions: This is a closed book, closed note exam. Calculators are not permitted. If you have a question, raise your hand and I will come to you. Please work the exam in pencil and do not separate
UNIT IV: DATA PATH DESIGN
UNIT IV: DATA PATH DESIGN Agenda Introduc/on Fixed Point Arithme/c Addi/on Subtrac/on Mul/plica/on & Serial mul/plier Division & Serial Divider Two s Complement (Addi/on, Subtrac/on) Booth s algorithm
Divide: Paper & Pencil
Divide: Paper & Pencil 1001 Quotient Divisor 1000 1001010 Dividend -1000 10 101 1010 1000 10 Remainder See how big a number can be subtracted, creating quotient bit on each step Binary => 1 * divisor or
SHRI ANGALAMMAN COLLEGE OF ENGINEERING. (An ISO 9001:2008 Certified Institution) SIRUGANOOR, TIRUCHIRAPPALLI
SHRI ANGALAMMAN COLLEGE OF ENGINEERING AND TECHNOLOGY (An ISO 9001:2008 Certified Institution) SIRUGANOOR, TIRUCHIRAPPALLI 621 105 DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING EC1201 DIGITAL
COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK SUBJECT CODE & NAME: EC 1312 DIGITAL LOGIC CIRCUITS UNIT I
KINGS COLLEGE OF ENGINEERING DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING QUESTION BANK SUBJECT CODE & NAME: EC 1312 DIGITAL LOGIC CIRCUITS YEAR / SEM: III / V UNIT I NUMBER SYSTEM & BOOLEAN ALGEBRA
Floating Point. The World is Not Just Integers. Programming languages support numbers with fraction
1 Floating Point The World is Not Just Integers Programming languages support numbers with fraction Called floating-point numbers Examples: 3.14159265 (π) 2.71828 (e) 0.000000001 or 1.0 10 9 (seconds in
UNIVERSITY OF MASSACHUSETTS Dept. of Electrical & Computer Engineering. Digital Computer Arithmetic ECE 666
UNIVERSITY OF MASSACHUSETTS Dept. of Electrical & Computer Engineering Digital Computer Arithmetic ECE 666 Part 4-A Floating-Point Arithmetic Israel Koren ECE666/Koren Part.4a.1 Preliminaries - Representation
Chapter 3: part 3 Binary Subtraction
Chapter 3: part 3 Binary Subtraction Iterative combinational circuits Binary adders Half and full adders Ripple carry and carry lookahead adders Binary subtraction Binary adder-subtractors Signed binary
Part III The Arithmetic/Logic Unit. Oct Computer Architecture, The Arithmetic/Logic Unit Slide 1
Part III The Arithmetic/Logic Unit Oct. 214 Computer Architecture, The Arithmetic/Logic Unit Slide 1 About This Presentation This presentation is intended to support the use of the textbook Computer Architecture:
Digital Fundamentals
Digital Fundamentals Tenth Edition Floyd Chapter 1 Modified by Yuttapong Jiraraksopakun Floyd, Digital Fundamentals, 10 th 2008 Pearson Education ENE, KMUTT ed 2009 Analog Quantities Most natural quantities
Code No: R Set No. 1
Code No: R059210504 Set No. 1 II B.Tech I Semester Regular Examinations, November 2007 DIGITAL LOGIC DESIGN ( Common to Computer Science & Engineering, Information Technology and Computer Science & Systems
Korea University of Technology and Education
MEC52 디지털공학 Binary Systems Jee-Hwan Ryu School of Mechanical Engineering Binary Numbers a 5 a 4 a 3 a 2 a a.a - a -2 a -3 base or radix = a n r n a n- r n-...a 2 r 2 a ra a - r - a -2 r -2...a -m r -m
Floating-Point Data Representation and Manipulation 198:231 Introduction to Computer Organization Lecture 3
Floating-Point Data Representation and Manipulation 198:231 Introduction to Computer Organization Instructor: Nicole Hynes nicole.hynes@rutgers.edu 1 Fixed Point Numbers Fixed point number: integer part
Digital Fundamentals. CHAPTER 2 Number Systems, Operations, and Codes
Digital Fundamentals CHAPTER 2 Number Systems, Operations, and Codes Decimal Numbers The decimal number system has ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 The decimal numbering system has a base of
INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad ELECTRONICS AND COMMUNICATIONS ENGINEERING
INSTITUTE OF AERONAUTICAL ENGINEERING Dundigal, Hyderabad - 00 0 ELECTRONICS AND COMMUNICATIONS ENGINEERING QUESTION BANK Course Name : DIGITAL DESIGN USING VERILOG HDL Course Code : A00 Class : II - B.
MIPS Integer ALU Requirements
MIPS Integer ALU Requirements Add, AddU, Sub, SubU, AddI, AddIU: 2 s complement adder/sub with overflow detection. And, Or, Andi, Ori, Xor, Xori, Nor: Logical AND, logical OR, XOR, nor. SLTI, SLTIU (set
COMBINATIONAL LOGIC CIRCUITS
COMBINATIONAL LOGIC CIRCUITS 4.1 INTRODUCTION The digital system consists of two types of circuits, namely: (i) Combinational circuits and (ii) Sequential circuits A combinational circuit consists of logic
CHAPTER V NUMBER SYSTEMS AND ARITHMETIC
CHAPTER V-1 CHAPTER V CHAPTER V NUMBER SYSTEMS AND ARITHMETIC CHAPTER V-2 NUMBER SYSTEMS RADIX-R REPRESENTATION Decimal number expansion 73625 10 = ( 7 10 4 ) + ( 3 10 3 ) + ( 6 10 2 ) + ( 2 10 1 ) +(
Computer Architecture
Computer Architecture Springer-Verlag Berlin Heidelberg GmbH Silvia M. Mueller Wolfgang J. Paul Computer Architecture Complexity and Correctness With 214 Figures and 185 Tables Springer Silvia Melitta
SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road QUESTION BANK (DESCRIPTIVE)
SIDDHARTH GROUP OF INSTITUTIONS :: PUTTUR Siddharth Nagar, Narayanavanam Road 517583 QUESTION BANK (DESCRIPTIVE) Subject with Code : STLD(16EC402) Year & Sem: II-B.Tech & I-Sem Course & Branch: B.Tech
Lecture Topics. Announcements. Today: Integer Arithmetic (P&H ) Next: continued. Consulting hours. Introduction to Sim. Milestone #1 (due 1/26)
Lecture Topics Today: Integer Arithmetic (P&H 3.1-3.4) Next: continued 1 Announcements Consulting hours Introduction to Sim Milestone #1 (due 1/26) 2 1 Overview: Integer Operations Internal representation
Floating Point Arithmetic
Floating Point Arithmetic CS 365 Floating-Point What can be represented in N bits? Unsigned 0 to 2 N 2s Complement -2 N-1 to 2 N-1-1 But, what about? very large numbers? 9,349,398,989,787,762,244,859,087,678
Verilog HDL. A Guide to Digital Design and Synthesis. Samir Palnitkar. SunSoft Press A Prentice Hall Title
Verilog HDL A Guide to Digital Design and Synthesis Samir Palnitkar SunSoft Press A Prentice Hall Title Table of Contents About the Author Foreword Preface Acknowledgments v xxxi xxxiii xxxvii Part 1:
By, Ajinkya Karande Adarsh Yoga
By, Ajinkya Karande Adarsh Yoga Introduction Early computer designers believed saving computer time and memory were more important than programmer time. Bug in the divide algorithm used in Intel chips.
COMPUTER ORGANIZATION AND DESIGN. 5 th Edition. The Hardware/Software Interface. Chapter 3. Arithmetic for Computers Implementation
COMPUTER ORGANIZATION AND DESIGN The Hardware/Software Interface 5 th Edition Chapter 3 Arithmetic for Computers Implementation Today Review representations (252/352 recap) Floating point Addition: Ripple
Number Systems Standard positional representation of numbers: An unsigned number with whole and fraction portions is represented as:
N Number Systems Standard positional representation of numbers: An unsigned number with whole and fraction portions is represented as: a n a a a The value of this number is given by: = a n Ka a a a a a
DIGITAL ARITHMETIC. Miloš D. Ercegovac Computer Science Department University of California Los Angeles and
1 DIGITAL ARITHMETIC Miloš D. Ercegovac Computer Science Department University of California Los Angeles and Tomás Lang Department of Electrical and Computer Engineering University of California at Irvine
The ALU consists of combinational logic. Processes all data in the CPU. ALL von Neuman machines have an ALU loop.
CS 320 Ch 10 Computer Arithmetic The ALU consists of combinational logic. Processes all data in the CPU. ALL von Neuman machines have an ALU loop. Signed integers are typically represented in sign-magnitude
Chapter 03: Computer Arithmetic. Lesson 09: Arithmetic using floating point numbers
Chapter 03: Computer Arithmetic Lesson 09: Arithmetic using floating point numbers Objective To understand arithmetic operations in case of floating point numbers 2 Multiplication of Floating Point Numbers
Chapter 3 Part 2 Combinational Logic Design
University of Wisconsin - Madison ECE/Comp Sci 352 Digital Systems Fundamentals Kewal K. Saluja and Yu Hen Hu Spring 2002 Chapter 3 Part 2 Combinational Logic Design Originals by: Charles R. Kime and Tom
EE878 Special Topics in VLSI. Computer Arithmetic for Digital Signal Processing
EE878 Special Topics in VLSI Computer Arithmetic for Digital Signal Processing Part 6b High-Speed Multiplication - II Spring 2017 Koren Part.6b.1 Accumulating the Partial Products After generating partial
A Binary Floating-Point Adder with the Signed-Digit Number Arithmetic
Proceedings of the 2007 WSEAS International Conference on Computer Engineering and Applications, Gold Coast, Australia, January 17-19, 2007 528 A Binary Floating-Point Adder with the Signed-Digit Number
4 Operations On Data 4.1. Foundations of Computer Science Cengage Learning
4 Operations On Data 4.1 Foundations of Computer Science Cengage Learning Objectives After studying this chapter, the student should be able to: List the three categories of operations performed on data.
ELEC 326: Class project
ELEC 326: Class project Kartik Mohanram 1 Introduction For this project you will design and test a three-digit binary-coded-decimal (BCD) adder capable of adding positive and negative BCD numbers. In the
Code No: R Set No. 1
Code No: R059210504 Set No. 1 II B.Tech I Semester Regular Examinations, November 2006 DIGITAL LOGIC DESIGN ( Common to Computer Science & Engineering, Information Technology and Computer Science & Systems
B.Tech II Year I Semester (R13) Regular Examinations December 2014 DIGITAL LOGIC DESIGN
B.Tech II Year I Semester () Regular Examinations December 2014 (Common to IT and CSE) (a) If 1010 2 + 10 2 = X 10, then X is ----- Write the first 9 decimal digits in base 3. (c) What is meant by don
(+A) + ( B) + (A B) (B A) + (A B) ( A) + (+ B) (A B) + (B A) + (A B) (+ A) (+ B) + (A - B) (B A) + (A B) ( A) ( B) (A B) + (B A) + (A B)
COMPUTER ARITHMETIC 1. Addition and Subtraction of Unsigned Numbers The direct method of subtraction taught in elementary schools uses the borrowconcept. In this method we borrow a 1 from a higher significant
CS Computer Architecture. 1. Explain Carry Look Ahead adders in detail
1. Explain Carry Look Ahead adders in detail A carry-look ahead adder (CLA) is a type of adder used in digital logic. A carry-look ahead adder improves speed by reducing the amount of time required to
±M R ±E, S M CHARACTERISTIC MANTISSA 1 k j
ENEE 350 c C. B. Silio, Jan., 2010 FLOATING POINT REPRESENTATIONS It is assumed that the student is familiar with the discussion in Appendix B of the text by A. Tanenbaum, Structured Computer Organization,
ECE 30 Introduction to Computer Engineering
ECE 30 Introduction to Computer Engineering Study Problems, Set #6 Spring 2015 1. With x = 1111 1111 1111 1111 1011 0011 0101 0011 2 and y = 0000 0000 0000 0000 0000 0010 1101 0111 2 representing two s
Hardware Description Languages (HDLs) Verilog
Hardware Description Languages (HDLs) Verilog Material from Mano & Ciletti book By Kurtulus KULLU Ankara University What are HDLs? A Hardware Description Language resembles a programming language specifically