Lecture 18. SRAM Cell and Column I/O Design

Size: px
Start display at page:

Download "Lecture 18. SRAM Cell and Column I/O Design"

Transcription

1 Lecture 8 SRAM Cell nd Column I/O Design Res Sleh Dept. of ECE University of British Columi res@ece.uc.c Architecture of 64K SRAM Row decoder m =56 word line Column Pullups itline n=8 n =56 Address input m=8 Column decoder m Column Mux Red/Write Sense en Write en Red-write control Sense mplifier Write driver Dt In Dt Out

2 SRAM Storge Cell Uses six trnsistors (clled 6T memory ): wordline inverter inverter Single Stge Noise Mrgin V OL V S V OH Red nd write opertions use the sme port. There is one wordline nd two it lines. The it lines crry complementry dt, fct tht will e used to reduce ccess time. The lyout is smll since it hs smll numer of wires (ut lrge reltive to DRAM). 3 CMOS SRAM Cell Design w wp wd wp wd w Cell Design Prolem: Find w, wd, wp such tht ) minimize re ) otin good red nd write mrgins 3) good soft error immunity 4) good red current in tht order wp w Since the is symmetric we need only design three trnsistor sizes wd 4

3 CMOS SRAM design - red Mke sure tht internl node does not go high enough to turn on M Use threshold voltge s mximum lloe voltge t internl node during red; Mke current rtio etween M nd M 3 out 3 to 4 Wnt to design device sizes such tht red current is high enough to crete desired differentil voltge on it lines ~00mV within specified mount of time Cit M 5 I M 6 M 3 (=0) (=) M M M 4 I Cit Cit V = τ, τ trigger Rule-of-Thum: W /W 3 = CMOS SRAM design - write Need to mke sure M 4 is strong enough to pull internl node low while M 6 is trying to pull it high Use switching threshold s trigger point for regenertive switch point; usully wnt to mke it less thn the switching threshold This will force inverter M 5 -M switch to new stte Mke rtio of currents etween M 4 nd M 6 out 3 to 4 M 5 M 3 M 6 ( = 0) (=) M 4 M M ~Gnd 6 Rule-of-Thum: W 4 /W 6 = -.5 3

4 SRAM Cell Lyout Lyout of SRAM word line running horizontlly it lines running verticlly cross-coupled inverters on top ccess trnsistors on ottom Portion of the core rry using SRAM scled in dimensions compred to single it s cross, 3 s high replicted in this mnner to uild the core rry 7 Wordline Cpcitnce Word line presents lrge cpcitnce to the decoder Ech lods the word line with two trnsistor cpcitnces nd one wire cpcitnce (plus wire resistnce) Totl cpcitnce is the cpcitnce per x numer of s on word line clock w Row Address Bits decoder x x x w w3 w4 wordline w5 8 4

5 Column I/O Opertion Circuits tht perform red nd write on the rry re column I/O lod Cn e sttic or prechrged Proper configurtion depends on mplifier design For red Bit lines must strt t round Swings should e smll for fst opertion Involves Mux nd sense mplifier design For write Need to drive one of the itlines to Gnd Mux nd write driver design Often use different I/O lines for red nd write 9 Cpcitnce Lod cpcitnce is mostly self-loding of the s Drin cp nd drin contcts (0.5- ff) of trnsistors re shred Junctions re ised t (lower cp thn norml) Wire cpcitnce ~.ff/micron of wire Row Address Bits clock decoder w w w3 w4 w5 wordline wordline 0 5

6 Lod Options Importnt to equlize itline voltge efore reds, Ltch-sed Ltch-sed Anlog differentil Sense mplifier Sense mplifier Sense mplifier V DD, v V DD V DD V DD -V TN Write Circuitry Prechrge itlines high Pull one column line low Turn on word line Wit until internl vlues of re estlished Turn off word line Design prechrge WL trnsistors to pull it lines high Design write drivers to pull one side low depending on dt vlue pre W D Cit col.sel. M 7 M 8 W D M 3 M 4 M 5 Cit Write Driver clk pre ddr dt col, 6

7 Red Circuitry Prechrge itlines high Turn on word line One line will sloy dischrge Wit until it line reches required low voltge level Turn on column select Amplify difference with sense mplifier pre WL Design sense mplifier sed on desired response time nd power col.enle requirements Use prechrge sed on type of sense mp used. Sense enle Cit M 7 M 8 M 9 M 0 Sense Amplifier Cit Output clk pre ddr dt, col/sense enle out trigger 3 Column Decoder/Mux Need decoder for column ddress followed y mux to select column for input or output opertions Require two outputs to drive complementry pss gtes Since the requirements for red nd write re different cn use seprte red nd write IO lines Hve PMOS ccess for the red IO lines, since the red hppens ner Hve NMOS devices for the write IO lines, since you need to drive itlines to Gnd (see next slide) col ddr C O L U M N D E C O D E R 3 M 4 7

8 Column Muxing Seprte I/O Write Driver Sense Amp Write Driver Sense Amp 5 Multi-Level Column Decoding Alterntives for column selection re tree decoder, regulr decoder + pss trnsistor, or some comintion of the two Shown on the right is tree decoder switches driven directly y ddress its nd their complements totl of M+ devices lrge devices to reduce resistnce long pths -> lrge C -> SLOW To speed up, dd uffers or use djust sizing of devices A A A A COLUMNS B i B i + B i + B i + 3 TREE DECODER SENSE CIRCUIT 6 8

9 Other Options for Column Decoder/Mux Decoders COLUMNS to 4 to 4 7 Building Amplifiers We need n mplifier to hndle smll voltge swings on the it lines for fst opertion Normlly you need to choose etween Drwing DC power (diff. sense mplifier) Using clock edge (ltch-sed mplifier) (to turn DC power on only when the signl is present) For CMOS logic gtes When input is t VDD or Gnd, one of the trnsistors is off Nothing cn hppen until this trnsistor turns on And even then you need to wit some more for gte to switch Sitting in low gin region of trnsfer curve For n mplifier Wnt to e in high-gin region (sturtion) 8 9

10 Ltch-sed Sense Amplifier It must sense very smll signl It must consume smll re Need one for ech itline Or sets of itline (4 or 8) Simplest design: Two ck-to-ck inverters Add clocked pulldown Once Bit nd Bit_ re estlished, turn on pulldown device to ctivte inverters Side with lower voltge will drop to 0V while the other side stys high Bit SenseEnle VDD Bit_ 9 Using Clocks nd Regenertion Three stges of opertion Prechrge Smple Regenerte At the end of smple Smll itline voltge on sense nd sense_ Regenerte M nd M3 turn on Voltge difference cuses current difference Which cuses lrger voltge difference Sense_ M SenseEnle M M3 Sense 0 0

CS99S Laboratory 2 Preparation Copyright W. J. Dally 2001 October 1, 2001

CS99S Laboratory 2 Preparation Copyright W. J. Dally 2001 October 1, 2001 CS99S Lortory 2 Preprtion Copyright W. J. Dlly 2 Octoer, 2 Ojectives:. Understnd the principle of sttic CMOS gte circuits 2. Build simple logic gtes from MOS trnsistors 3. Evlute these gtes to oserve logic

More information

2 DIODE CLIPPING and CLAMPING CIRCUITS

2 DIODE CLIPPING and CLAMPING CIRCUITS 2 DIODE CLIPPING nd CLAMPING CIRCUITS 2.1 Ojectives Understnding the operting principle of diode clipping circuit Understnding the operting principle of clmping circuit Understnding the wveform chnge of

More information

Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May 2008. Time: 14:00 16:00

Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE. Date: Friday 16 th May 2008. Time: 14:00 16:00 COMP20212 Two hours UNIVERSITY OF MANCHESTER SCHOOL OF COMPUTER SCIENCE Digitl Design Techniques Dte: Fridy 16 th My 2008 Time: 14:00 16:00 Plese nswer ny THREE Questions from the FOUR questions provided

More information

, and the number of electrons is -19. e e 1.60 10 C. The negatively charged electrons move in the direction opposite to the conventional current flow.

, and the number of electrons is -19. e e 1.60 10 C. The negatively charged electrons move in the direction opposite to the conventional current flow. Prolem 1. f current of 80.0 ma exists in metl wire, how mny electrons flow pst given cross section of the wire in 10.0 min? Sketch the directions of the current nd the electrons motion. Solution: The chrge

More information

Solenoid Operated Proportional Directional Control Valve (with Pressure Compensation, Multiple Valve Series)

Solenoid Operated Proportional Directional Control Valve (with Pressure Compensation, Multiple Valve Series) Solenoid Operted Proportionl Directionl Control Vlve (with Pressure Compenstion, Multiple Vlve Series) Hydrulic circuit (Exmple) v Fetures hese stcking type control vlves show pressure compensted type

More information

Answer, Key Homework 10 David McIntyre 1

Answer, Key Homework 10 David McIntyre 1 Answer, Key Homework 10 Dvid McIntyre 1 This print-out should hve 22 questions, check tht it is complete. Multiple-choice questions my continue on the next column or pge: find ll choices efore mking your

More information

Lec 2: Gates and Logic

Lec 2: Gates and Logic Lec 2: Gtes nd Logic Kvit Bl CS 34, Fll 28 Computer Science Cornell University Announcements Clss newsgroup creted Posted on we-pge Use it for prtner finding First ssignment is to find prtners Due this

More information

Understanding Basic Analog Ideal Op Amps

Understanding Basic Analog Ideal Op Amps Appliction Report SLAA068A - April 2000 Understnding Bsic Anlog Idel Op Amps Ron Mncini Mixed Signl Products ABSTRACT This ppliction report develops the equtions for the idel opertionl mplifier (op mp).

More information

Cypress Creek High School IB Physics SL/AP Physics B 2012 2013 MP2 Test 1 Newton s Laws. Name: SOLUTIONS Date: Period:

Cypress Creek High School IB Physics SL/AP Physics B 2012 2013 MP2 Test 1 Newton s Laws. Name: SOLUTIONS Date: Period: Nme: SOLUTIONS Dte: Period: Directions: Solve ny 5 problems. You my ttempt dditionl problems for extr credit. 1. Two blocks re sliding to the right cross horizontl surfce, s the drwing shows. In Cse A

More information

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( )

Polynomial Functions. Polynomial functions in one variable can be written in expanded form as ( ) Polynomil Functions Polynomil functions in one vrible cn be written in expnded form s n n 1 n 2 2 f x = x + x + x + + x + x+ n n 1 n 2 2 1 0 Exmples of polynomils in expnded form re nd 3 8 7 4 = 5 4 +

More information

Experiment 6: Friction

Experiment 6: Friction Experiment 6: Friction In previous lbs we studied Newton s lws in n idel setting, tht is, one where friction nd ir resistnce were ignored. However, from our everydy experience with motion, we know tht

More information

FAULT TREES AND RELIABILITY BLOCK DIAGRAMS. Harry G. Kwatny. Department of Mechanical Engineering & Mechanics Drexel University

FAULT TREES AND RELIABILITY BLOCK DIAGRAMS. Harry G. Kwatny. Department of Mechanical Engineering & Mechanics Drexel University SYSTEM FAULT AND Hrry G. Kwtny Deprtment of Mechnicl Engineering & Mechnics Drexel University OUTLINE SYSTEM RBD Definition RBDs nd Fult Trees System Structure Structure Functions Pths nd Cutsets Reliility

More information

Static-Noise-Margin Analysis of Conventional 6T SRAM Cell at 45nm Technology

Static-Noise-Margin Analysis of Conventional 6T SRAM Cell at 45nm Technology Static-Noise-Margin Analysis of Conventional 6T SRAM Cell at 45nm Technology Nahid Rahman Department of electronics and communication FET-MITS (Deemed university), Lakshmangarh, India B. P. Singh Department

More information

COMPONENTS: COMBINED LOADING

COMPONENTS: COMBINED LOADING LECTURE COMPONENTS: COMBINED LOADING Third Edition A. J. Clrk School of Engineering Deprtment of Civil nd Environmentl Engineering 24 Chpter 8.4 by Dr. Ibrhim A. Asskkf SPRING 2003 ENES 220 Mechnics of

More information

How fast can we sort? Sorting. Decision-tree model. Decision-tree for insertion sort Sort a 1, a 2, a 3. CS 3343 -- Spring 2009

How fast can we sort? Sorting. Decision-tree model. Decision-tree for insertion sort Sort a 1, a 2, a 3. CS 3343 -- Spring 2009 CS 4 -- Spring 2009 Sorting Crol Wenk Slides courtesy of Chrles Leiserson with smll chnges by Crol Wenk CS 4 Anlysis of Algorithms 1 How fst cn we sort? All the sorting lgorithms we hve seen so fr re comprison

More information

1. Find the zeros Find roots. Set function = 0, factor or use quadratic equation if quadratic, graph to find zeros on calculator

1. Find the zeros Find roots. Set function = 0, factor or use quadratic equation if quadratic, graph to find zeros on calculator AP Clculus Finl Review Sheet When you see the words. This is wht you think of doing. Find the zeros Find roots. Set function =, fctor or use qudrtic eqution if qudrtic, grph to find zeros on clcultor.

More information

One Minute To Learn Programming: Finite Automata

One Minute To Learn Programming: Finite Automata Gret Theoreticl Ides In Computer Science Steven Rudich CS 15-251 Spring 2005 Lecture 9 Fe 8 2005 Crnegie Mellon University One Minute To Lern Progrmming: Finite Automt Let me tech you progrmming lnguge

More information

ECE124 Digital Circuits and Systems Page 1

ECE124 Digital Circuits and Systems Page 1 ECE124 Digital Circuits and Systems Page 1 Chip level timing Have discussed some issues related to timing analysis. Talked briefly about longest combinational path for a combinational circuit. Talked briefly

More information

Start Here. IMPORTANT: To ensure that the software is installed correctly, do not connect the USB cable until step 17. Remove tape and cardboard

Start Here. IMPORTANT: To ensure that the software is installed correctly, do not connect the USB cable until step 17. Remove tape and cardboard Strt Here 1 IMPORTANT: To ensure tht the softwre is instlled correctly, do not connect the USB cle until step 17. Follow the steps in order. If you hve prolems during setup, see Trouleshooting in the lst

More information

Semiconductor Memory Design

Semiconductor Memory Design CHAPTER 8 Semiconductor Memory Design CHAPTER OUTLINE 8.1 Introduction 8.2 MOS Decoders 8.3 Static RAM Cell Design 8.4 SRAM Column I/O Circuitry 8.5 Memory Architecture 8.6 Summary References Prolems 8.1

More information

Section 5.2, Commands for Configuring ISDN Protocols. Section 5.3, Configuring ISDN Signaling. Section 5.4, Configuring ISDN LAPD and Call Control

Section 5.2, Commands for Configuring ISDN Protocols. Section 5.3, Configuring ISDN Signaling. Section 5.4, Configuring ISDN LAPD and Call Control Chpter 5 Configurtion of ISDN Protocols This chpter provides instructions for configuring the ISDN protocols in the SP201 for signling conversion. Use the sections tht reflect the softwre you re configuring.

More information

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3.

Treatment Spring Late Summer Fall 0.10 5.56 3.85 0.61 6.97 3.01 1.91 3.01 2.13 2.99 5.33 2.50 1.06 3.53 6.10 Mean = 1.33 Mean = 4.88 Mean = 3. The nlysis of vrince (ANOVA) Although the t-test is one of the most commonly used sttisticl hypothesis tests, it hs limittions. The mjor limittion is tht the t-test cn be used to compre the mens of only

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology

More information

Memory unit. 2 k words. n bits per word

Memory unit. 2 k words. n bits per word 9- k address lines Read n data input lines Memory unit 2 k words n bits per word n data output lines 24 Pearson Education, Inc M Morris Mano & Charles R Kime 9-2 Memory address Binary Decimal Memory contents

More information

Class 11: Transmission Gates, Latches

Class 11: Transmission Gates, Latches Topics: 1. Intro 2. Transmission Gate Logic Design 3. X-Gate 2-to-1 MUX 4. X-Gate XOR 5. X-Gate 8-to-1 MUX 6. X-Gate Logic Latch 7. Voltage Drop of n-ch X-Gates 8. n-ch Pass Transistors vs. CMOS X-Gates

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology

More information

Or more simply put, when adding or subtracting quantities, their uncertainties add.

Or more simply put, when adding or subtracting quantities, their uncertainties add. Propgtion of Uncertint through Mthemticl Opertions Since the untit of interest in n eperiment is rrel otined mesuring tht untit directl, we must understnd how error propgtes when mthemticl opertions re

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd business. Introducing technology

More information

Small Business Networking

Small Business Networking Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology

More information

How To Set Up A Network For Your Business

How To Set Up A Network For Your Business Why Network is n Essentil Productivity Tool for Any Smll Business TechAdvisory.org SME Reports sponsored by Effective technology is essentil for smll businesses looking to increse their productivity. Computer

More information

5 a LAN 6 a gateway 7 a modem

5 a LAN 6 a gateway 7 a modem STARTER With the help of this digrm, try to descrie the function of these components of typicl network system: 1 file server 2 ridge 3 router 4 ckone 5 LAN 6 gtewy 7 modem Another Novell LAN Router Internet

More information

Engineer-to-Engineer Note

Engineer-to-Engineer Note Engineer-to-Engineer Note EE-265 Technicl notes on using Anlog Devices DSPs, processors nd development tools Contct our technicl support t dsp.support@nlog.com nd t dsptools.support@nlog.com Or visit our

More information

Chapter 9 Semiconductor Memories. Jin-Fu Li Department of Electrical Engineering National Central University Jungli, Taiwan

Chapter 9 Semiconductor Memories. Jin-Fu Li Department of Electrical Engineering National Central University Jungli, Taiwan Chapter 9 Semiconductor Memories Jin-Fu Li Department of Electrical Engineering National Central University Jungli, Taiwan Advanced Reliable Systems (ARES) Lab. Jin-Fu Li, EE, NCU 2 Outline Introduction

More information

How To Network A Smll Business

How To Network A Smll Business Why network is n essentil productivity tool for ny smll business Effective technology is essentil for smll businesses looking to increse the productivity of their people nd processes. Introducing technology

More information

Rotating DC Motors Part II

Rotating DC Motors Part II Rotting Motors rt II II.1 Motor Equivlent Circuit The next step in our consiertion of motors is to evelop n equivlent circuit which cn be use to better unerstn motor opertion. The rmtures in rel motors

More information

Learning Outcomes. Computer Systems - Architecture Lecture 4 - Boolean Logic. What is Logic? Boolean Logic 10/28/2010

Learning Outcomes. Computer Systems - Architecture Lecture 4 - Boolean Logic. What is Logic? Boolean Logic 10/28/2010 /28/2 Lerning Outcomes At the end of this lecture you should: Computer Systems - Architecture Lecture 4 - Boolen Logic Eddie Edwrds eedwrds@doc.ic.c.uk http://www.doc.ic.c.uk/~eedwrds/compsys (Hevily sed

More information

Small Business Cloud Services

Small Business Cloud Services Smll Business Cloud Services Summry. We re thick in the midst of historic se-chnge in computing. Like the emergence of personl computers, grphicl user interfces, nd mobile devices, the cloud is lredy profoundly

More information

RAM & ROM Based Digital Design. ECE 152A Winter 2012

RAM & ROM Based Digital Design. ECE 152A Winter 2012 RAM & ROM Based Digital Design ECE 152A Winter 212 Reading Assignment Brown and Vranesic 1 Digital System Design 1.1 Building Block Circuits 1.1.3 Static Random Access Memory (SRAM) 1.1.4 SRAM Blocks in

More information

Week 11 - Inductance

Week 11 - Inductance Week - Inductnce November 6, 202 Exercise.: Discussion Questions ) A trnsformer consists bsiclly of two coils in close proximity but not in electricl contct. A current in one coil mgneticlly induces n

More information

Chapter 10 Advanced CMOS Circuits

Chapter 10 Advanced CMOS Circuits Transmission Gates Chapter 10 Advanced CMOS Circuits NMOS Transmission Gate The active pull-up inverter circuit leads one to thinking about alternate uses of NMOS devices. Consider the circuit shown in

More information

Lectures 8 and 9 1 Rectangular waveguides

Lectures 8 and 9 1 Rectangular waveguides 1 Lectures 8 nd 9 1 Rectngulr wveguides y b x z Consider rectngulr wveguide with 0 < x b. There re two types of wves in hollow wveguide with only one conductor; Trnsverse electric wves

More information

CHAPTER 16 MEMORY CIRCUITS

CHAPTER 16 MEMORY CIRCUITS CHPTER 6 MEMORY CIRCUITS Chapter Outline 6. atches and Flip-Flops 6. Semiconductor Memories: Types and rchitectures 6.3 Random-ccess Memory RM Cells 6.4 Sense-mplifier and ddress Decoders 6.5 Read-Only

More information

A.7.1 Trigonometric interpretation of dot product... 324. A.7.2 Geometric interpretation of dot product... 324

A.7.1 Trigonometric interpretation of dot product... 324. A.7.2 Geometric interpretation of dot product... 324 A P P E N D I X A Vectors CONTENTS A.1 Scling vector................................................ 321 A.2 Unit or Direction vectors...................................... 321 A.3 Vector ddition.................................................

More information

Tutorial on How to Create Electric Machine Models

Tutorial on How to Create Electric Machine Models PSIM Sotwre Tutoril on How to Crete Electric Mchine Models Powersi Inc. Septber 2009 www.powersitech.co Tutoril on Creting Electric Mchine Models Users cn crete electric chine odels using the bsic unction

More information

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur

Module 2. Analysis of Statically Indeterminate Structures by the Matrix Force Method. Version 2 CE IIT, Kharagpur Module Anlysis of Stticlly Indeterminte Structures by the Mtrix Force Method Version CE IIT, Khrgpur esson 9 The Force Method of Anlysis: Bems (Continued) Version CE IIT, Khrgpur Instructionl Objectives

More information

Appendix D: Completing the Square and the Quadratic Formula. In Appendix A, two special cases of expanding brackets were considered:

Appendix D: Completing the Square and the Quadratic Formula. In Appendix A, two special cases of expanding brackets were considered: Appendi D: Completing the Squre nd the Qudrtic Formul Fctoring qudrtic epressions such s: + 6 + 8 ws one of the topics introduced in Appendi C. Fctoring qudrtic epressions is useful skill tht cn help you

More information

PROGRAMOWANIE STRUKTUR CYFROWYCH

PROGRAMOWANIE STRUKTUR CYFROWYCH PROGRAMOWANIE STRUKTUR CYFROWYCH FPGA r inż. Igncy Pryk, UJK Kielce Mteriły źrółowe:. Slies to ccompny the textbook Digitl Design, First Eition, by Frnk Vhi, John Wiley n Sons Publishers, 7, http://www.vhi.com.

More information

Table 1 SDR to DDR Quick Reference

Table 1 SDR to DDR Quick Reference TECHNICAL NOTE TN-6-05 GENERAL DDR SDRAM FUNCTIONALITY INTRODUCTION The migration from single rate synchronous DRAM (SDR) to double rate synchronous DRAM (DDR) memory is upon us. Although there are many

More information

Math 135 Circles and Completing the Square Examples

Math 135 Circles and Completing the Square Examples Mth 135 Circles nd Completing the Squre Exmples A perfect squre is number such tht = b 2 for some rel number b. Some exmples of perfect squres re 4 = 2 2, 16 = 4 2, 169 = 13 2. We wish to hve method for

More information

Distributions. (corresponding to the cumulative distribution function for the discrete case).

Distributions. (corresponding to the cumulative distribution function for the discrete case). Distributions Recll tht n integrble function f : R [,] such tht R f()d = is clled probbility density function (pdf). The distribution function for the pdf is given by F() = (corresponding to the cumultive

More information

OPTIMA QUADRANT / OFFSET QUADRANT

OPTIMA QUADRANT / OFFSET QUADRANT OPTIMA QUADRANT / OFFSET QUADRANT 71799 00 / Issue 1 / 15 Y Z DIMENSIONS Check the enclosure size in the tle elow mtches the showertry instlltion. = Widths: 800 Door = 780-805mm 900 Door = 880-905mm Y

More information

Chapter 5 :: Memory and Logic Arrays

Chapter 5 :: Memory and Logic Arrays Chapter 5 :: Memory and Logic Arrays Digital Design and Computer Architecture David Money Harris and Sarah L. Harris Copyright 2007 Elsevier 5- ROM Storage Copyright 2007 Elsevier 5- ROM Logic Data

More information

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions.

Use Geometry Expressions to create a more complex locus of points. Find evidence for equivalence using Geometry Expressions. Lerning Objectives Loci nd Conics Lesson 3: The Ellipse Level: Preclculus Time required: 120 minutes In this lesson, students will generlize their knowledge of the circle to the ellipse. The prmetric nd

More information

Engineer-to-Engineer Note

Engineer-to-Engineer Note Engineer-to-Engineer Note EE-280 Technicl notes on using Anlog Devices DSPs, processors nd development tools Visit our Web resources http://www.nlog.com/ee-notes nd http://www.nlog.com/processors or e-mil

More information

Firm Objectives. The Theory of the Firm II. Cost Minimization Mathematical Approach. First order conditions. Cost Minimization Graphical Approach

Firm Objectives. The Theory of the Firm II. Cost Minimization Mathematical Approach. First order conditions. Cost Minimization Graphical Approach Pro. Jy Bhttchry Spring 200 The Theory o the Firm II st lecture we covered: production unctions Tody: Cost minimiztion Firm s supply under cost minimiztion Short vs. long run cost curves Firm Ojectives

More information

Enterprise Digital Signage Create a New Sign

Enterprise Digital Signage Create a New Sign Enterprise Digitl Signge Crete New Sign Intended Audiene: Content dministrtors of Enterprise Digitl Signge inluding stff with remote ess to sign.pitt.edu nd the Content Mnger softwre pplition for their

More information

Homework 3 Solutions

Homework 3 Solutions CS 341: Foundtions of Computer Science II Prof. Mrvin Nkym Homework 3 Solutions 1. Give NFAs with the specified numer of sttes recognizing ech of the following lnguges. In ll cses, the lphet is Σ = {,1}.

More information

NQF Level: 2 US No: 7480

NQF Level: 2 US No: 7480 NQF Level: 2 US No: 7480 Assessment Guide Primry Agriculture Rtionl nd irrtionl numers nd numer systems Assessor:.......................................... Workplce / Compny:.................................

More information

RTL Power Optimization with Gate-level Accuracy

RTL Power Optimization with Gate-level Accuracy RTL Power Optimiztion with Gte-level Accurcy Qi Wng Cdence Design Systems, Inc Sumit Roy Clypto Design Systems, Inc 555 River Oks Prkwy, Sn Jose 95125 2903 Bunker Hill Lne, Suite 208, SntClr 95054 qwng@cdence.com

More information

Small Businesses Decisions to Offer Health Insurance to Employees

Small Businesses Decisions to Offer Health Insurance to Employees Smll Businesses Decisions to Offer Helth Insurnce to Employees Ctherine McLughlin nd Adm Swinurn, June 2014 Employer-sponsored helth insurnce (ESI) is the dominnt source of coverge for nonelderly dults

More information

Semiconductor Memories

Semiconductor Memories Semiconductor Memories Semiconductor memories array capable of storing large quantities of digital information are essential to all digital systems Maximum realizable data storage capacity of a single

More information

Welch Allyn CardioPerfect Workstation Installation Guide

Welch Allyn CardioPerfect Workstation Installation Guide Welch Allyn CrdioPerfect Worksttion Instlltion Guide INSTALLING CARDIOPERFECT WORKSTATION SOFTWARE & ACCESSORIES ON A SINGLE PC For softwre version 1.6.5 or lter For network instlltion, plese refer to

More information

Lecture 5: Gate Logic Logic Optimization

Lecture 5: Gate Logic Logic Optimization Lecture 5: Gate Logic Logic Optimization MAH, AEN EE271 Lecture 5 1 Overview Reading McCluskey, Logic Design Principles- or any text in boolean algebra Introduction We could design at the level of irsim

More information

Helicopter Theme and Variations

Helicopter Theme and Variations Helicopter Theme nd Vritions Or, Some Experimentl Designs Employing Pper Helicopters Some possible explntory vribles re: Who drops the helicopter The length of the rotor bldes The height from which the

More information

Graphs on Logarithmic and Semilogarithmic Paper

Graphs on Logarithmic and Semilogarithmic Paper 0CH_PHClter_TMSETE_ 3//00 :3 PM Pge Grphs on Logrithmic nd Semilogrithmic Pper OBJECTIVES When ou hve completed this chpter, ou should be ble to: Mke grphs on logrithmic nd semilogrithmic pper. Grph empiricl

More information

APPLICATION NOTE Revision 3.0 MTD/PS-0534 August 13, 2008 KODAK IMAGE SENDORS COLOR CORRECTION FOR IMAGE SENSORS

APPLICATION NOTE Revision 3.0 MTD/PS-0534 August 13, 2008 KODAK IMAGE SENDORS COLOR CORRECTION FOR IMAGE SENSORS APPLICATION NOTE Revision 3.0 MTD/PS-0534 August 13, 2008 KODAK IMAGE SENDORS COLOR CORRECTION FOR IMAGE SENSORS TABLE OF FIGURES Figure 1: Spectrl Response of CMOS Imge Sensor...3 Figure 2: Byer CFA Ptterns...4

More information

AAPT UNITED STATES PHYSICS TEAM AIP 2010

AAPT UNITED STATES PHYSICS TEAM AIP 2010 2010 F = m Exm 1 AAPT UNITED STATES PHYSICS TEAM AIP 2010 Enti non multiplicnd sunt preter necessittem 2010 F = m Contest 25 QUESTIONS - 75 MINUTES INSTRUCTIONS DO NOT OPEN THIS TEST UNTIL YOU ARE TOLD

More information

Rotating DC Motors Part I

Rotating DC Motors Part I Rotting DC Motors Prt I he previous lesson introduced the simple liner motor. Liner motors hve some prcticl pplictions, ut rotting DC motors re much more prolific. he principles which eplin the opertion

More information

Reasoning to Solve Equations and Inequalities

Reasoning to Solve Equations and Inequalities Lesson4 Resoning to Solve Equtions nd Inequlities In erlier work in this unit, you modeled situtions with severl vriles nd equtions. For exmple, suppose you were given usiness plns for concert showing

More information

4. DC MOTORS. Understand the basic principles of operation of a DC motor. Understand the operation and basic characteristics of simple DC motors.

4. DC MOTORS. Understand the basic principles of operation of a DC motor. Understand the operation and basic characteristics of simple DC motors. 4. DC MOTORS Almost every mechnicl movement tht we see round us is ccomplished by n electric motor. Electric mchines re mens o converting energy. Motors tke electricl energy nd produce mechnicl energy.

More information

Section 5-4 Trigonometric Functions

Section 5-4 Trigonometric Functions 5- Trigonometric Functions Section 5- Trigonometric Functions Definition of the Trigonometric Functions Clcultor Evlution of Trigonometric Functions Definition of the Trigonometric Functions Alternte Form

More information

EE 42/100 Lecture 24: Latches and Flip Flops. Rev B 4/21/2010 (2:04 PM) Prof. Ali M. Niknejad

EE 42/100 Lecture 24: Latches and Flip Flops. Rev B 4/21/2010 (2:04 PM) Prof. Ali M. Niknejad A. M. Niknejad University of California, Berkeley EE 100 / 42 Lecture 24 p. 1/20 EE 42/100 Lecture 24: Latches and Flip Flops ELECTRONICS Rev B 4/21/2010 (2:04 PM) Prof. Ali M. Niknejad University of California,

More information

PHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS

PHY 222 Lab 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS PHY 222 Lb 8 MOTION OF ELECTRONS IN ELECTRIC AND MAGNETIC FIELDS Nme: Prtners: INTRODUCTION Before coming to lb, plese red this pcket nd do the prelb on pge 13 of this hndout. From previous experiments,

More information

Bypassing Space Explosion in Regular Expression Matching for Network Intrusion Detection and Prevention Systems

Bypassing Space Explosion in Regular Expression Matching for Network Intrusion Detection and Prevention Systems Bypssing Spce Explosion in Regulr Expression Mtching for Network Intrusion Detection n Prevention Systems Jignesh Ptel, Alex Liu n Eric Torng Dept. of Computer Science n Engineering Michign Stte University

More information

Regular Sets and Expressions

Regular Sets and Expressions Regulr Sets nd Expressions Finite utomt re importnt in science, mthemtics, nd engineering. Engineers like them ecuse they re super models for circuits (And, since the dvent of VLSI systems sometimes finite

More information

EE247 Lecture 4. For simplicity, will start with all pole ladder type filters. Convert to integrator based form- example shown

EE247 Lecture 4. For simplicity, will start with all pole ladder type filters. Convert to integrator based form- example shown EE247 Lecture 4 Ldder type filters For simplicity, will strt with ll pole ldder type filters Convert to integrtor bsed form exmple shown Then will ttend to high order ldder type filters incorporting zeros

More information

Algebra Review. How well do you remember your algebra?

Algebra Review. How well do you remember your algebra? Algebr Review How well do you remember your lgebr? 1 The Order of Opertions Wht do we men when we write + 4? If we multiply we get 6 nd dding 4 gives 10. But, if we dd + 4 = 7 first, then multiply by then

More information

Warm-up for Differential Calculus

Warm-up for Differential Calculus Summer Assignment Wrm-up for Differentil Clculus Who should complete this pcket? Students who hve completed Functions or Honors Functions nd will be tking Differentil Clculus in the fll of 015. Due Dte:

More information

EQUATIONS OF LINES AND PLANES

EQUATIONS OF LINES AND PLANES EQUATIONS OF LINES AND PLANES MATH 195, SECTION 59 (VIPUL NAIK) Corresponding mteril in the ook: Section 12.5. Wht students should definitely get: Prmetric eqution of line given in point-direction nd twopoint

More information

6.2 Volumes of Revolution: The Disk Method

6.2 Volumes of Revolution: The Disk Method mth ppliction: volumes of revolution, prt ii Volumes of Revolution: The Disk Method One of the simplest pplictions of integrtion (Theorem ) nd the ccumultion process is to determine so-clled volumes of

More information

Pass Gate Logic An alternative to implementing complex logic is to realize it using a logic network of pass transistors (switches).

Pass Gate Logic An alternative to implementing complex logic is to realize it using a logic network of pass transistors (switches). Pass Gate Logic n alternative to implementing complex logic is to realize it using a logic network of pass transistors (switches). Switch Network Regeneration is performed via a buffer. We have already

More information

Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100

Mathematics. Vectors. hsn.uk.net. Higher. Contents. Vectors 128 HSN23100 hsn.uk.net Higher Mthemtics UNIT 3 OUTCOME 1 Vectors Contents Vectors 18 1 Vectors nd Sclrs 18 Components 18 3 Mgnitude 130 4 Equl Vectors 131 5 Addition nd Subtrction of Vectors 13 6 Multipliction by

More information

Tablet Charging Wall Mount 12

Tablet Charging Wall Mount 12 User's Guide Tlet Chrging Wll Mount 12 For the ltest User Instlltion Guide plese visit: www.ergotron.com User's Guide - English Guí del usurio - Espñol Mnuel de l utilisteur - Frnçis Geruikersgids - Deutsch

More information

Morgan Stanley Ad Hoc Reporting Guide

Morgan Stanley Ad Hoc Reporting Guide spphire user guide Ferury 2015 Morgn Stnley Ad Hoc Reporting Guide An Overview For Spphire Users 1 Introduction The Ad Hoc Reporting tool is ville for your reporting needs outside of the Spphire stndrd

More information

CS250 VLSI Systems Design Lecture 8: Memory

CS250 VLSI Systems Design Lecture 8: Memory CS250 VLSI Systems esign Lecture 8: Memory John Wawrzynek, Krste Asanovic, with John Lazzaro and Yunsup Lee (TA) UC Berkeley Fall 2010 CMOS Bistable 1 0 Flip State 0 1 Cross-coupled inverters used to hold

More information

Health insurance exchanges What to expect in 2014

Health insurance exchanges What to expect in 2014 Helth insurnce exchnges Wht to expect in 2014 33096CAEENABC 02/13 The bsics of exchnges As prt of the Affordble Cre Act (ACA or helth cre reform lw), strting in 2014 ALL Americns must hve minimum mount

More information

Bayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom

Bayesian Updating with Continuous Priors Class 13, 18.05, Spring 2014 Jeremy Orloff and Jonathan Bloom Byesin Updting with Continuous Priors Clss 3, 8.05, Spring 04 Jeremy Orloff nd Jonthn Bloom Lerning Gols. Understnd prmeterized fmily of distriutions s representing continuous rnge of hypotheses for the

More information

Data replication in mobile computing

Data replication in mobile computing Technicl Report, My 2010 Dt repliction in mobile computing Bchelor s Thesis in Electricl Engineering Rodrigo Christovm Pmplon HALMSTAD UNIVERSITY, IDE SCHOOL OF INFORMATION SCIENCE, COMPUTER AND ELECTRICAL

More information

Practice Test 2. a. 12 kn b. 17 kn c. 13 kn d. 5.0 kn e. 49 kn

Practice Test 2. a. 12 kn b. 17 kn c. 13 kn d. 5.0 kn e. 49 kn Prtie Test 2 1. A highwy urve hs rdius of 0.14 km nd is unnked. A r weighing 12 kn goes round the urve t speed of 24 m/s without slipping. Wht is the mgnitude of the horizontl fore of the rod on the r?

More information

1.00/1.001 Introduction to Computers and Engineering Problem Solving Fall 2011 - Final Exam

1.00/1.001 Introduction to Computers and Engineering Problem Solving Fall 2011 - Final Exam 1./1.1 Introduction to Computers nd Engineering Problem Solving Fll 211 - Finl Exm Nme: MIT Emil: TA: Section: You hve 3 hours to complete this exm. In ll questions, you should ssume tht ll necessry pckges

More information

Lecture 3 Gaussian Probability Distribution

Lecture 3 Gaussian Probability Distribution Lecture 3 Gussin Probbility Distribution Introduction l Gussin probbility distribution is perhps the most used distribution in ll of science. u lso clled bell shped curve or norml distribution l Unlike

More information

GR2DR4B-EXXX/YYY/LP 1GB & 2GB DDR2 REGISTERED DIMMs (LOW PROFILE)

GR2DR4B-EXXX/YYY/LP 1GB & 2GB DDR2 REGISTERED DIMMs (LOW PROFILE) GENERAL DESCRIPTION The Gigaram is a 128M/256M bit x 72 DDDR2 SDRAM high density JEDEC standard ECC Registered memory module. The Gigaram consists of eighteen CMOS 128MX4 DDR2 for 1GB and thirty-six CMOS

More information

AntiSpyware Enterprise Module 8.5

AntiSpyware Enterprise Module 8.5 AntiSpywre Enterprise Module 8.5 Product Guide Aout the AntiSpywre Enterprise Module The McAfee AntiSpywre Enterprise Module 8.5 is n dd-on to the VirusScn Enterprise 8.5i product tht extends its ility

More information

5.2. LINE INTEGRALS 265. Let us quickly review the kind of integrals we have studied so far before we introduce a new one.

5.2. LINE INTEGRALS 265. Let us quickly review the kind of integrals we have studied so far before we introduce a new one. 5.2. LINE INTEGRALS 265 5.2 Line Integrls 5.2.1 Introduction Let us quickly review the kind of integrls we hve studied so fr before we introduce new one. 1. Definite integrl. Given continuous rel-vlued

More information

A Network Management System for Power-Line Communications and its Verification by Simulation

A Network Management System for Power-Line Communications and its Verification by Simulation A Network Mngement System for Power-Line Communictions nd its Verifiction y Simultion Mrkus Seeck, Gerd Bumiller GmH Unterschluerscher-Huptstr. 10, D-90613 Großhersdorf, Germny Phone: +49 9105 9960-51,

More information

Computer Architecture

Computer Architecture Computer Architecture Random Access Memory Technologies 2015. április 2. Budapest Gábor Horváth associate professor BUTE Dept. Of Networked Systems and Services ghorvath@hit.bme.hu 2 Storing data Possible

More information

Vectors 2. 1. Recap of vectors

Vectors 2. 1. Recap of vectors Vectors 2. Recp of vectors Vectors re directed line segments - they cn be represented in component form or by direction nd mgnitude. We cn use trigonometry nd Pythgors theorem to switch between the forms

More information

UNLOCKING TECHNOLOGY IVECO

UNLOCKING TECHNOLOGY IVECO UNLOCKING TECHNOLOGY IVECO IVECO - CONTENTS PPLICTIONS PGE DS136 IVECO 3 DS177 IVECO CN 3 DIGNOSTIC SOCKETS LOCTIONS IVECO 4 GENERL OPERTION 5 6 TIPS & HINTS 15 2 Version: 2.3 July 2011 Copyright 2009

More information

New Internet Radio Feature

New Internet Radio Feature XXXXX XXXXX XXXXX /XW-SMA3/XW-SMA4 New Internet Rdio Feture EN This wireless speker hs een designed to llow you to enjoy Pndor*/Internet Rdio. In order to ply Pndor/Internet Rdio, however, it my e necessry

More information