EE115C Digital Electronic Circuits Homework #4

Size: px
Start display at page:

Download "EE115C Digital Electronic Circuits Homework #4"

Transcription

1 EE115 Digital Electronic ircuits Homework #4 Problem 1 Power Dissipation Solution Vdd =1.0V onsider the source follower circuit used to drive a load L =20fF shown above. M1 and M2 are both NMOS transistors parameterized by Table below. V T0 [V] k [μa/v 2 ] γ [V 1/2 ] λ [V 1 ] V DSAT [V] 2Φ F [V] NMOS PMOS a) Assume that the input square wave edges and the inverter are fast compared to the rest of the circuit Solution: The overall function of this circuit is a follower. When VIN is low, M1 is off and M2 is on, and the VOL = 0 V. When VIN is high, M2 is off and M1 is on and in a source follower configuration. As VOUT rises, it eventually reaches VDD - VT, at which point M1 turns off. Therefore, VOH = VDD - VT. However, since V S is not equal to 0, VT is not equal to VT0. We need to find VT from the two equations: A simple way to solve these equations is to iterate with an initial guess for VT:, 1

2 for example, VT = 0.2V. VS = 0.8V VT = V VS = V VT = V VS = V VT = V VS = V VT = V VS = V At this point we are close to the final value, and the last few mv don t affect the solution significantly. Use VOH=0.7608V. Now we can sketch the input and output waveforms: b) What is the power consumption if T=20ns? Neglect the standard inverter and assume that L dominates the device capacitance of M1 and M2. Solution: Note that during a 0 1 transition, we charge the capacitor to VOH, and thus draw an amount of charge Q = LVOH from the supply. Thus, the energy consumed in a single positive transition is E = QVDD = LVDDVOH. Therefore, P = L VDD VOH f0 1 = 20 ff 1V 0.76V 25 MHz. P = 380 nw c) onsider what happens if V IN is not a square wave, but a data stream consisting of a random sequence of bits. If the bit period is 20ns and each bit has an equal chance of being 0 or 1, what is the average power consumption of the circuit? Solution: In this case we use the same power formula as in part (b), but we must determine the new value of f0 1. Since the bits have equal probability of being 0 or 1, every bit has a 50% chance of being different from the previous bit. Thus, on average there is a transition every 40ns. Half of those transitions are 0 1 and half are 1 0, so on average there is a 0 1 transition every 80ns, or f0 1 = 12.5 MHz. P= L VDD VOH f0 1 = 20 ff 1.0V 0.76V 12.5 MHz. P = 190 nw 2

3 Problem 2 FO4 Delay and Switching Energy Dissipation a) FO4 delay: This exercise is similar to calculating FO4 delay from Tutorial 2. Find FO4 Delay of an inverter with following parameters (Wp=650nm, Wn=430nm) when V DD varies from 1V down to 0.15V (50mV increments). Specify capacitance and clock properties as follows: cap : output load, set value to 100f vpulse : (input pulse voltage source) Voltage 1 = 0, Voltage 2 = V DD, Delay time = 100p, Rise time = 10p, Fall time = 10p, Pulse width = 200ps, Period = 400ps b) Energy consumption: Simulate E 0 1 as a function of V DD as V DD varies from 1V down to 0.15V (take V DD step 50mV). To emulate realistic switching cycle in digital logic, set the input switching period to 10 FO4 delay as you scale down V DD. Solution a) For Spectre simulation, we first construct the schematics as the following figure: A Transient Analysis is ran with a pulse input source having the pulse-width of 200ps. The simulation result is shown below. We can use the alculator to measure falling and rising transitions. t PLH = ps, t PHL = ps FO4 _ Delay = ( t + t ) / 2 = 32. ps PLH PHL 81 3

4 b) Let the period of your clock be 40 the FO4 Delay. T = 40 FO4 _ Delay = 1. 32ns Find switching energy dissipation. 250 ps 14 E = Vdd i( t) dt = 1 i( t) dt = ps You can again use the alculator to find the integration of current. This step can be done while varying Vdd. Following table and figure illustrate how energy dissipation changes with Vdd. Note that near Subthreshold region, you need to allow sufficient about of time for the logic to charge and discharge. 4

5 Vdd Isw[A*T] Esw[fJ] t plh t phl tp ps 29.23ps 33.60ps ps 31.07ps 36ps ps 33.28ps 38ps ps 36.1ps 42ps ps 39.51ps 45ps ps 43.85ps 50.5ps ps 49.57ps 57ps ps 57.23ps 65ps ps 68ps 72ps ps 84.04ps 95ps ,.9ps 110.3ps 125ps ps 158.6ps 178ps ps 270ps 293.5ps ps 515.8ps 566ps ns 1.2ns 1.3ns ns 3.185n 3.7ns ns 9.3ns 14ns 5

6 Problem 3 MOS Gate Design Electrical Engineering Department Spring 2010 a) Design F = A + A +. b) apacitance of internal nodes = int, apacitance of loading = L, Resistance of NMOS = R N, Resistance of PMOS = R P, calculate t phl and t plh for all possible input combinations (hint: for a first-order estimate, ignore int ). Solution a) One possible implementation: A F A 2x b) List the Truth Table and use delay = 0.69R for pull-down or pull-up network. For example: If {A,, }={0, 1, 1} F = 0, equivalent pull-down resistance = 2R N t phl = R N. L = 1.38 R N L A F t phl t plh R P L R P L R P L R N L R P L R N L R N L R N L - 6

ECE 438: Digital Integrated Circuits Assignment #4 Solution The Inverter

ECE 438: Digital Integrated Circuits Assignment #4 Solution The Inverter ECE 438: Digital Integrated Circuits Assignment #4 The Inverter Text: Chapter 5, Digital Integrated Circuits 2 nd Ed, Rabaey 1) Consider the CMOS inverter circuit in Figure P1 with the following parameters.

More information

CARNEGIE MELLON UNIVERSITY DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING DIGITAL INTEGRATED CIRCUITS FALL 2002

CARNEGIE MELLON UNIVERSITY DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING DIGITAL INTEGRATED CIRCUITS FALL 2002 CARNEGIE MELLON UNIVERSITY DEPARTMENT OF ELECTRICAL AND COMPUTER ENGINEERING 18-322 DIGITAL INTEGRATED CIRCUITS FALL 2002 Final Examination, Monday Dec. 16, 2002 NAME: SECTION: Time: 180 minutes Closed

More information

Properties of CMOS Gates Snapshot

Properties of CMOS Gates Snapshot MOS logic 1 Properties of MOS Gates Snapshot High noise margins: V OH and V OL are at V DD and GND, respectively. No static power consumption: There never exists a direct path between V DD and V SS (GND)

More information

ECE 342 Solid State Devices & Circuits 4. CMOS

ECE 342 Solid State Devices & Circuits 4. CMOS ECE 34 Solid State Devices & Circuits 4. CMOS Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jschutt@emlab.uiuc.edu ECE 34 Jose Schutt Aine 1 Digital Circuits V IH : Input

More information

EE115C Digital Electronic Circuits Homework #6

EE115C Digital Electronic Circuits Homework #6 Problem 1 Sizing of adder blocks Electrical Engineering Department Spring 2010 EE115C Digital Electronic Circuits Homework #6 Solution Figure 1: Mirror adder. Study the mirror adder cell (textbook, pages

More information

EECS 141: FALL 05 MIDTERM 1

EECS 141: FALL 05 MIDTERM 1 University of California College of Engineering Department of Electrical Engineering and Computer Sciences D. Markovic TuTh 11-1:3 Thursday, October 6, 6:3-8:pm EECS 141: FALL 5 MIDTERM 1 NAME Last SOLUTION

More information

THE INVERTER. Inverter

THE INVERTER. Inverter THE INVERTER DIGITAL GATES Fundamental Parameters Functionality Reliability, Robustness Area Performance» Speed (delay)» Power Consumption» Energy Noise in Digital Integrated Circuits v(t) V DD i(t) (a)

More information

EE213, Spr 2017 HW#3 Due: May 17 th, in class. Figure 1

EE213, Spr 2017 HW#3 Due: May 17 th, in class. Figure 1 RULES: Please try to work on your own. Discussion is permissible, but identical submissions are unacceptable! Please show all intermediate steps: a correct solution without an explanation will get zero

More information

ESE 570: Digital Integrated Circuits and VLSI Fundamentals

ESE 570: Digital Integrated Circuits and VLSI Fundamentals ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 15: March 15, 2018 Euler Paths, Energy Basics and Optimization Midterm! Midterm " Mean: 89.7 " Standard Dev: 8.12 2 Lecture Outline! Euler

More information

Circuit A. Circuit B

Circuit A. Circuit B UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences Last modified on November 19, 2006 by Karl Skucha (kskucha@eecs) Borivoje Nikolić Homework #9

More information

Midterm. ESE 570: Digital Integrated Circuits and VLSI Fundamentals. Lecture Outline. Pass Transistor Logic. Restore Output.

Midterm. ESE 570: Digital Integrated Circuits and VLSI Fundamentals. Lecture Outline. Pass Transistor Logic. Restore Output. ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 16: March 21, 2017 Transmission Gates, Euler Paths, Energy Basics Review Midterm! Midterm " Mean: 79.5 " Standard Dev: 14.5 2 Lecture Outline!

More information

EEC 118 Lecture #6: CMOS Logic. Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation

EEC 118 Lecture #6: CMOS Logic. Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation EEC 118 Lecture #6: CMOS Logic Rajeevan mirtharajah University of California, Davis Jeff Parkhurst Intel Corporation nnouncements Quiz 1 today! Lab 2 reports due this week Lab 3 this week HW 3 due this

More information

EE115C Digital Electronic Circuits Homework #5

EE115C Digital Electronic Circuits Homework #5 EE115C Digital Electronic Circuits Homework #5 Due Thursday, May 13, 6pm @ 56-147E EIV Problem 1 Elmore Delay Analysis Calculate the Elmore delay from node A to node B using the values for the resistors

More information

EEC 118 Lecture #5: CMOS Inverter AC Characteristics. Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation

EEC 118 Lecture #5: CMOS Inverter AC Characteristics. Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation EEC 8 Lecture #5: CMOS Inverter AC Characteristics Rajeevan Amirtharajah University of California, Davis Jeff Parkhurst Intel Corporation Acknowledgments Slides due to Rajit Manohar from ECE 547 Advanced

More information

EE141Microelettronica. CMOS Logic

EE141Microelettronica. CMOS Logic Microelettronica CMOS Logic CMOS logic Power consumption in CMOS logic gates Where Does Power Go in CMOS? Dynamic Power Consumption Charging and Discharging Capacitors Short Circuit Currents Short Circuit

More information

EEE 421 VLSI Circuits

EEE 421 VLSI Circuits EEE 421 CMOS Properties Full rail-to-rail swing high noise margins» Logic levels not dependent upon the relative device sizes transistors can be minimum size ratioless Always a path to V dd or GND in steady

More information

Power Dissipation. Where Does Power Go in CMOS?

Power Dissipation. Where Does Power Go in CMOS? Power Dissipation [Adapted from Chapter 5 of Digital Integrated Circuits, 2003, J. Rabaey et al.] Where Does Power Go in CMOS? Dynamic Power Consumption Charging and Discharging Capacitors Short Circuit

More information

COMP 103. Lecture 16. Dynamic Logic

COMP 103. Lecture 16. Dynamic Logic COMP 03 Lecture 6 Dynamic Logic Reading: 6.3, 6.4 [ll lecture notes are adapted from Mary Jane Irwin, Penn State, which were adapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.] COMP03

More information

Spiral 2 7. Capacitance, Delay and Sizing. Mark Redekopp

Spiral 2 7. Capacitance, Delay and Sizing. Mark Redekopp 2-7.1 Spiral 2 7 Capacitance, Delay and Sizing Mark Redekopp 2-7.2 Learning Outcomes I understand the sources of capacitance in CMOS circuits I understand how delay scales with resistance, capacitance

More information

Topic 4. The CMOS Inverter

Topic 4. The CMOS Inverter Topic 4 The CMOS Inverter Peter Cheung Department of Electrical & Electronic Engineering Imperial College London URL: www.ee.ic.ac.uk/pcheung/ E-mail: p.cheung@ic.ac.uk Topic 4-1 Noise in Digital Integrated

More information

Chapter 5. The Inverter. V1. April 10, 03 V1.1 April 25, 03 V2.1 Nov Inverter

Chapter 5. The Inverter. V1. April 10, 03 V1.1 April 25, 03 V2.1 Nov Inverter Chapter 5 The Inverter V1. April 10, 03 V1.1 April 25, 03 V2.1 Nov.12 03 Objective of This Chapter Use Inverter to know basic CMOS Circuits Operations Watch for performance Index such as Speed (Delay calculation)

More information

EEC 116 Lecture #5: CMOS Logic. Rajeevan Amirtharajah Bevan Baas University of California, Davis Jeff Parkhurst Intel Corporation

EEC 116 Lecture #5: CMOS Logic. Rajeevan Amirtharajah Bevan Baas University of California, Davis Jeff Parkhurst Intel Corporation EEC 116 Lecture #5: CMOS Logic Rajeevan mirtharajah Bevan Baas University of California, Davis Jeff Parkhurst Intel Corporation nnouncements Quiz 1 today! Lab 2 reports due this week Lab 3 this week HW

More information

Announcements. EE141- Spring 2003 Lecture 8. Power Inverter Chain

Announcements. EE141- Spring 2003 Lecture 8. Power Inverter Chain - Spring 2003 Lecture 8 Power Inverter Chain Announcements Homework 3 due today. Homework 4 will be posted later today. Special office hours from :30-3pm at BWRC (in lieu of Tuesday) Today s lecture Power

More information

Digital Integrated Circuits A Design Perspective

Digital Integrated Circuits A Design Perspective igital Integrated Circuits esign Perspective esigning Combinational Logic Circuits 1 Combinational vs. Sequential Logic In Combinational Logic Circuit Out In Combinational Logic Circuit Out State Combinational

More information

MOSFET and CMOS Gate. Copy Right by Wentai Liu

MOSFET and CMOS Gate. Copy Right by Wentai Liu MOSFET and CMOS Gate CMOS Inverter DC Analysis - Voltage Transfer Curve (VTC) Find (1) (2) (3) (4) (5) (6) V OH min, V V OL min, V V IH min, V V IL min, V OHmax OLmax IHmax ILmax NM L = V ILmax V OL max

More information

Dynamic operation 20

Dynamic operation 20 Dynamic operation 20 A simple model for the propagation delay Symmetric inverter (rise and fall delays are identical) otal capacitance is linear t p Minimum length devices R W C L t = 0.69R C = p W L 0.69

More information

Announcements. EE141- Fall 2002 Lecture 7. MOS Capacitances Inverter Delay Power

Announcements. EE141- Fall 2002 Lecture 7. MOS Capacitances Inverter Delay Power - Fall 2002 Lecture 7 MOS Capacitances Inverter Delay Power Announcements Wednesday 12-3pm lab cancelled Lab 4 this week Homework 2 due today at 5pm Homework 3 posted tonight Today s lecture MOS capacitances

More information

9/18/2008 GMU, ECE 680 Physical VLSI Design

9/18/2008 GMU, ECE 680 Physical VLSI Design ECE680: Physical VLSI Design Chapter III CMOS Device, Inverter, Combinational circuit Logic and Layout Part 3 Combinational Logic Gates (textbook chapter 6) 9/18/2008 GMU, ECE 680 Physical VLSI Design

More information

Integrated Circuits & Systems

Integrated Circuits & Systems Federal University of Santa Catarina Center for Technology Computer Science & Electronics Engineering Integrated Circuits & Systems INE 5442 Lecture 14 The CMOS Inverter: dynamic behavior (sizing, inverter

More information

CPE/EE 427, CPE 527 VLSI Design I Pass Transistor Logic. Review: CMOS Circuit Styles

CPE/EE 427, CPE 527 VLSI Design I Pass Transistor Logic. Review: CMOS Circuit Styles PE/EE 427, PE 527 VLI Design I Pass Transistor Logic Department of Electrical and omputer Engineering University of labama in Huntsville leksandar Milenkovic ( www.ece.uah.edu/~milenka ) Review: MO ircuit

More information

COMBINATIONAL LOGIC. Combinational Logic

COMBINATIONAL LOGIC. Combinational Logic COMINTIONL LOGIC Overview Static CMOS Conventional Static CMOS Logic Ratioed Logic Pass Transistor/Transmission Gate Logic Dynamic CMOS Logic Domino np-cmos Combinational vs. Sequential Logic In Logic

More information

Lecture 14 - Digital Circuits (III) CMOS. April 1, 2003

Lecture 14 - Digital Circuits (III) CMOS. April 1, 2003 6.12 - Microelectronic Devices and Circuits - Spring 23 Lecture 14-1 Lecture 14 - Digital Circuits (III) CMOS April 1, 23 Contents: 1. Complementary MOS (CMOS) inverter: introduction 2. CMOS inverter:

More information

Digital Microelectronic Circuits ( ) Ratioed Logic. Lecture 8: Presented by: Mr. Adam Teman

Digital Microelectronic Circuits ( ) Ratioed Logic. Lecture 8: Presented by: Mr. Adam Teman Digital Microelectronic ircuits (361-1-3021 ) Presented by: Mr. Adam Teman Lecture 8: atioed Logic 1 Motivation In the previous lecture, we learned about Standard MOS Digital Logic design. MOS is unquestionably

More information

ECE 342 Electronic Circuits. Lecture 35 CMOS Delay Model

ECE 342 Electronic Circuits. Lecture 35 CMOS Delay Model ECE 34 Electronic Circuits Lecture 35 CMOS Delay Model Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jesa@illinois.edu ECE 34 Jose Schutt Aine 1 Digital Circuits V IH : Input

More information

ESE 570: Digital Integrated Circuits and VLSI Fundamentals

ESE 570: Digital Integrated Circuits and VLSI Fundamentals ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 17: March 26, 2019 Energy Optimization & Design Space Exploration Penn ESE 570 Spring 2019 Khanna Lecture Outline! Energy Optimization! Design

More information

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences Elad Alon Homework #2 EECS141 Due Thursday, September 9, 5pm, box in 240 Cory PROBLEM

More information

PASS-TRANSISTOR LOGIC. INEL Fall 2014

PASS-TRANSISTOR LOGIC. INEL Fall 2014 PASS-TRANSISTOR LOGIC INEL 4207 - Fall 2014 Figure 15.5 Conceptual pass-transistor logic gates. (a) Two switches, controlled by the input variables B and C, when connected in series in the path between

More information

5.0 CMOS Inverter. W.Kucewicz VLSICirciuit Design 1

5.0 CMOS Inverter. W.Kucewicz VLSICirciuit Design 1 5.0 CMOS Inverter W.Kucewicz VLSICirciuit Design 1 Properties Switching Threshold Dynamic Behaviour Capacitance Propagation Delay nmos/pmos Ratio Power Consumption Contents W.Kucewicz VLSICirciuit Design

More information

EE5311- Digital IC Design

EE5311- Digital IC Design EE5311- Digital IC Design Module 3 - The Inverter Janakiraman V Assistant Professor Department of Electrical Engineering Indian Institute of Technology Madras Chennai September 6, 2017 Janakiraman, IITM

More information

Lecture 4: DC & Transient Response

Lecture 4: DC & Transient Response Introduction to CMOS VLSI Design Lecture 4: DC & Transient Response David Harris Harvey Mudd College Spring 004 Outline DC Response Logic Levels and Noise Margins Transient Response Delay Estimation Slide

More information

DC and Transient. Courtesy of Dr. Daehyun Dr. Dr. Shmuel and Dr.

DC and Transient. Courtesy of Dr. Daehyun Dr. Dr. Shmuel and Dr. DC and Transient Courtesy of Dr. Daehyun Lim@WSU, Dr. Harris@HMC, Dr. Shmuel Wimer@BIU and Dr. Choi@PSU http://csce.uark.edu +1 (479) 575-604 yrpeng@uark.edu Pass Transistors We have assumed source is

More information

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences UNIVERSITY OF LIFORNI, ERKELEY ollege of Engineering Department of Electrical Engineering and omputer Sciences Elad lon Homework #3 EE141 Due Thursday, September 13 th, 5pm, box outside 125 ory PROLEM

More information

2007 Fall: Electronic Circuits 2 CHAPTER 10. Deog-Kyoon Jeong School of Electrical Engineering

2007 Fall: Electronic Circuits 2 CHAPTER 10. Deog-Kyoon Jeong School of Electrical Engineering 007 Fall: Electronic Circuits CHAPTER 10 Digital CMOS Logic Circuits Deog-Kyoon Jeong dkjeong@snu.ac.kr k School of Electrical Engineering Seoul lnational luniversity it Introduction In this chapter, we

More information

CPE/EE 427, CPE 527 VLSI Design I Delay Estimation. Department of Electrical and Computer Engineering University of Alabama in Huntsville

CPE/EE 427, CPE 527 VLSI Design I Delay Estimation. Department of Electrical and Computer Engineering University of Alabama in Huntsville CPE/EE 47, CPE 57 VLSI Design I Delay Estimation Department of Electrical and Computer Engineering University of labama in Huntsville leksandar Milenkovic ( www.ece.uah.edu/~milenka ) Review: CMOS Circuit

More information

Designing Information Devices and Systems II Fall 2017 Miki Lustig and Michel Maharbiz Homework 1. This homework is due September 5, 2017, at 11:59AM.

Designing Information Devices and Systems II Fall 2017 Miki Lustig and Michel Maharbiz Homework 1. This homework is due September 5, 2017, at 11:59AM. EECS 16 Designing Information Devices and Systems II Fall 017 Miki Lustig and Michel Maharbiz Homework 1 This homework is due September 5, 017, at 11:59M. 1. Fundamental Theorem of Solutions to Differential

More information

Digital Integrated Circuits

Digital Integrated Circuits Chapter 6 The CMOS Inverter 1 Contents Introduction (MOST models) 0, 1 st, 2 nd order The CMOS inverter : The static behavior: o DC transfer characteristics, o Short-circuit current The CMOS inverter :

More information

The Physical Structure (NMOS)

The Physical Structure (NMOS) The Physical Structure (NMOS) Al SiO2 Field Oxide Gate oxide S n+ Polysilicon Gate Al SiO2 SiO2 D n+ L channel P Substrate Field Oxide contact Metal (S) n+ (G) L W n+ (D) Poly 1 Transistor Resistance Two

More information

Homework Assignment #3 EE 477 Spring 2017 Professor Parker , -.. = 1.8 -, 345 = 0 -

Homework Assignment #3 EE 477 Spring 2017 Professor Parker , -.. = 1.8 -, 345 = 0 - Homework Assignment #3 EE 477 Spring 2017 Professor Parker Note:! " = $ " % &' ( ) * ),! + = $ + % &' (, *,, -.. = 1.8 -, 345 = 0 - Question 1: a) (8%) Define the terms V OHmin, V IHmin, V ILmax and V

More information

EE5780 Advanced VLSI CAD

EE5780 Advanced VLSI CAD EE5780 Advanced VLSI CAD Lecture 4 DC and Transient Responses, Circuit Delays Zhuo Feng 4.1 Outline Pass Transistors DC Response Logic Levels and Noise Margins Transient Response RC Delay Models Delay

More information

ESE570 Spring University of Pennsylvania Department of Electrical and System Engineering Digital Integrated Cicruits AND VLSI Fundamentals

ESE570 Spring University of Pennsylvania Department of Electrical and System Engineering Digital Integrated Cicruits AND VLSI Fundamentals University of Pennsylvania Department of Electrical and System Engineering Digital Integrated Cicruits AND VLSI Fundamentals ESE570, Spring 017 Final Wednesday, May 3 4 Problems with point weightings shown.

More information

EE 466/586 VLSI Design. Partha Pande School of EECS Washington State University

EE 466/586 VLSI Design. Partha Pande School of EECS Washington State University EE 466/586 VLSI Design Partha Pande School of EECS Washington State University pande@eecs.wsu.edu Lecture 8 Power Dissipation in CMOS Gates Power in CMOS gates Dynamic Power Capacitance switching Crowbar

More information

Lecture 5: DC & Transient Response

Lecture 5: DC & Transient Response Lecture 5: DC & Transient Response Outline q Pass Transistors q DC Response q Logic Levels and Noise Margins q Transient Response q RC Delay Models q Delay Estimation 2 Activity 1) If the width of a transistor

More information

Next, we check the race condition to see if the circuit will work properly. Note that the minimum logic delay is a single sum.

Next, we check the race condition to see if the circuit will work properly. Note that the minimum logic delay is a single sum. UNIVERSITY OF CALIFORNIA College of Engineering Department of Electrical Engineering and Computer Sciences Last modified on May 1, 2003 by Dejan Markovic (dejan@eecs.berkeley.edu) Prof. Jan Rabaey EECS

More information

Lecture 6 Power Zhuo Feng. Z. Feng MTU EE4800 CMOS Digital IC Design & Analysis 2010

Lecture 6 Power Zhuo Feng. Z. Feng MTU EE4800 CMOS Digital IC Design & Analysis 2010 EE4800 CMOS Digital IC Design & Analysis Lecture 6 Power Zhuo Feng 6.1 Outline Power and Energy Dynamic Power Static Power 6.2 Power and Energy Power is drawn from a voltage source attached to the V DD

More information

Digital Integrated Circuits A Design Perspective

Digital Integrated Circuits A Design Perspective Designing ombinational Logic ircuits dapted from hapter 6 of Digital Integrated ircuits Design Perspective Jan M. Rabaey et al. opyright 2003 Prentice Hall/Pearson 1 ombinational vs. Sequential Logic In

More information

Digital Integrated Circuits 2nd Inverter

Digital Integrated Circuits 2nd Inverter Digital Integrated Circuits The Inverter The CMOS Inverter V DD Analysis Inverter complex gate Cost V in V out complexity & Area Integrity and robustness C L Static behavior Performance Dynamic response

More information

Lecture 5: DC & Transient Response

Lecture 5: DC & Transient Response Lecture 5: DC & Transient Response Outline Pass Transistors DC Response Logic Levels and Noise Margins Transient Response RC Delay Models Delay Estimation 2 Pass Transistors We have assumed source is grounded

More information

ESE 570: Digital Integrated Circuits and VLSI Fundamentals

ESE 570: Digital Integrated Circuits and VLSI Fundamentals ESE 570: Digital Integrated Circuits and VLSI Fundamentals Lec 10: February 15, 2018 MOS Inverter: Dynamic Characteristics Penn ESE 570 Spring 2018 Khanna Lecture Outline! Inverter Power! Dynamic Characteristics

More information

CMOS Inverter (static view)

CMOS Inverter (static view) Review: Design Abstraction Levels SYSTEM CMOS Inverter (static view) + MODULE GATE [Adapted from Chapter 5. 5.3 CIRCUIT of G DEVICE Rabaey s Digital Integrated Circuits,, J. Rabaey et al.] S D Review:

More information

ECE 546 Lecture 10 MOS Transistors

ECE 546 Lecture 10 MOS Transistors ECE 546 Lecture 10 MOS Transistors Spring 2018 Jose E. Schutt-Aine Electrical & Computer Engineering University of Illinois jesa@illinois.edu NMOS Transistor NMOS Transistor N-Channel MOSFET Built on p-type

More information

Lecture Outline. ESE 570: Digital Integrated Circuits and VLSI Fundamentals. Restore Output. Pass Transistor Logic. How compare.

Lecture Outline. ESE 570: Digital Integrated Circuits and VLSI Fundamentals. Restore Output. Pass Transistor Logic. How compare. ESE 570: igital Integrated ircuits and VLSI undamentals Lec 16: March 19, 2019 Euler Paths and Energy asics & Optimization Lecture Outline! Pass Transistor Logic! Logic omparison! Transmission Gates! Euler

More information

Integrated Circuits & Systems

Integrated Circuits & Systems Federal University of Santa Catarina Center for Technology Computer Science & Electronics Engineering Integrated Circuits & Systems INE 5442 Lecture 13 The CMOS Inverter: dynamic behavior (delay) guntzel@inf.ufsc.br

More information

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences

UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences UNIVERSITY OF CALIFORNIA, BERKELEY College of Engineering Department of Electrical Engineering and Computer Sciences Elad Alon Homework #2 - Solutions EECS141 Due Thursday, September 10, 5pm, box in 240

More information

EE241 - Spring 2000 Advanced Digital Integrated Circuits. Announcements

EE241 - Spring 2000 Advanced Digital Integrated Circuits. Announcements EE241 - Spring 2 Advanced Digital Integrated Circuits Lecture 11 Low Power-Low Energy Circuit Design Announcements Homework #2 due Friday, 3/3 by 5pm Midterm project reports due in two weeks - 3/7 by 5pm

More information

Lecture 12 Digital Circuits (II) MOS INVERTER CIRCUITS

Lecture 12 Digital Circuits (II) MOS INVERTER CIRCUITS Lecture 12 Digital Circuits (II) MOS INVERTER CIRCUITS Outline NMOS inverter with resistor pull-up The inverter NMOS inverter with current-source pull-up Complementary MOS (CMOS) inverter Static analysis

More information

Delay and Power Estimation

Delay and Power Estimation EEN454 Digital Integrated ircuit Design Delay and Power Estimation EEN 454 Delay Estimation We would like to be able to easily estimate delay Not as accurate as simulation But make it easier to ask What

More information

EE115C Digital Electronic Circuits Homework #3

EE115C Digital Electronic Circuits Homework #3 Electrical Engineering Department Spring 1 EE115C Digital Electronic Circuits Homework #3 Due Thursday, April, 6pm @ 56-147E EIV Solution Problem 1 VTC and Inverter Analysis Figure 1a shows a standard

More information

CPE/EE 427, CPE 527 VLSI Design I L07: CMOS Logic Gates, Pass Transistor Logic. Review: CMOS Circuit Styles

CPE/EE 427, CPE 527 VLSI Design I L07: CMOS Logic Gates, Pass Transistor Logic. Review: CMOS Circuit Styles PE/EE 427, PE 527 VLI esign I L07: MO Logic Gates, Pass Transistor Logic epartment of Electrical and omputer Engineering University of labama in Huntsville leksandar Milenkovic ( www.ece.uah.edu/~milenka

More information

Fig. 1 CMOS Transistor Circuits (a) Inverter Out = NOT In, (b) NOR-gate C = NOT (A or B)

Fig. 1 CMOS Transistor Circuits (a) Inverter Out = NOT In, (b) NOR-gate C = NOT (A or B) 1 Introduction to Transistor-Level Logic Circuits 1 By Prawat Nagvajara At the transistor level of logic circuits, transistors operate as switches with the logic variables controlling the open or closed

More information

Based on slides/material by. Topic 3-4. Combinational Logic. Outline. The CMOS Inverter: A First Glance

Based on slides/material by. Topic 3-4. Combinational Logic. Outline. The CMOS Inverter: A First Glance ased on slides/material by Topic 3 J. Rabaey http://bwrc.eecs.berkeley.edu/lasses/icook/instructors.html Digital Integrated ircuits: Design Perspective, Prentice Hall D. Harris http://www.cmosvlsi.com/coursematerials.html

More information

Lecture 11 VTCs and Delay. No lab today, Mon., Tues. Labs restart next week. Midterm #1 Tues. Oct. 7 th, 6:30-8:00pm in 105 Northgate

Lecture 11 VTCs and Delay. No lab today, Mon., Tues. Labs restart next week. Midterm #1 Tues. Oct. 7 th, 6:30-8:00pm in 105 Northgate EE4-Fall 2008 Digital Integrated Circuits Lecture VTCs and Delay Lecture # Announcements No lab today, Mon., Tues. Labs restart next week Midterm # Tues. Oct. 7 th, 6:30-8:00pm in 05 Northgate Exam is

More information

High-to-Low Propagation Delay t PHL

High-to-Low Propagation Delay t PHL High-to-Low Propagation Delay t PHL V IN switches instantly from low to high. Driver transistor (n-channel) immediately switches from cutoff to saturation; the p-channel pull-up switches from triode to

More information

Where Does Power Go in CMOS?

Where Does Power Go in CMOS? Power Dissipation Where Does Power Go in CMOS? Dynamic Power Consumption Charging and Discharging Capacitors Short Circuit Currents Short Circuit Path between Supply Rails during Switching Leakage Leaking

More information

EE115C Winter 2017 Digital Electronic Circuits. Lecture 6: Power Consumption

EE115C Winter 2017 Digital Electronic Circuits. Lecture 6: Power Consumption EE115C Winter 2017 Digital Electronic Circuits Lecture 6: Power Consumption Four Key Design Metrics for Digital ICs Cost of ICs Reliability Speed Power EE115C Winter 2017 2 Power and Energy Challenges

More information

Last Lecture. Power Dissipation CMOS Scaling. EECS 141 S02 Lecture 8

Last Lecture. Power Dissipation CMOS Scaling. EECS 141 S02 Lecture 8 EECS 141 S02 Lecture 8 Power Dissipation CMOS Scaling Last Lecture CMOS Inverter loading Switching Performance Evaluation Design optimization Inverter Sizing 1 Today CMOS Inverter power dissipation» Dynamic»

More information

EE141. Administrative Stuff

EE141. Administrative Stuff -Spring 2004 Digital Integrated ircuits Lecture 15 Logical Effort Pass Transistor Logic 1 dministrative Stuff First (short) project to be launched next Th. Overall span: 1 week Hardware lab this week Hw

More information

ECE321 Electronics I

ECE321 Electronics I ECE31 Electronics Lecture 1: CMOS nverter: Noise Margin & Delay Model Payman Zarkesh-Ha Office: ECE Bldg. 30B Office hours: Tuesday :00-3:00PM or by appointment E-mail: payman@ece.unm.edu Slide: 1 CMOS

More information

Lecture 7 Circuit Delay, Area and Power

Lecture 7 Circuit Delay, Area and Power Lecture 7 Circuit Delay, Area and Power lecture notes from S. Mitra Intro VLSI System course (EE271) Introduction to VLSI Systems 1 Circuits and Delay Introduction to VLSI Systems 2 Power, Delay and Area:

More information

Digital Integrated Circuits A Design Perspective

Digital Integrated Circuits A Design Perspective Digital Integrated Circuits Design Perspective Jan M. Rabaey nantha Chandrakasan orivoje Nikolić Designing Combinational Logic Circuits November 2002. 1 Combinational vs. Sequential Logic In Combinational

More information

CMOS Inverter. Performance Scaling

CMOS Inverter. Performance Scaling Announcements Exam #2 regrade requests due today. Homework #8 due today. Final Exam: Th June 12, 8:30 10:20am, CMU 120 (extension to 11:20am requested). Grades available for viewing via Catalyst. CMOS

More information

Miscellaneous Lecture topics. Mary Jane Irwin [Adapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.]

Miscellaneous Lecture topics. Mary Jane Irwin [Adapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.] Miscellaneous Lecture topics Mary Jane Irwin [dapted from Rabaey s Digital Integrated Circuits, 2002, J. Rabaey et al.] MOS Switches MOS transistors can be viewed as simple switches. In an N-Switch, the

More information

Digital Microelectronic Circuits ( ) The CMOS Inverter. Lecture 4: Presented by: Adam Teman

Digital Microelectronic Circuits ( ) The CMOS Inverter. Lecture 4: Presented by: Adam Teman Digital Microelectronic Circuits (361-1-301 ) Presented by: Adam Teman Lecture 4: The CMOS Inverter 1 Last Lectures Moore s Law Terminology» Static Properties» Dynamic Properties» Power The MOSFET Transistor»

More information

EE5311- Digital IC Design

EE5311- Digital IC Design EE5311- Digital IC Design Module 3 - The Inverter Janakiraman V Assistant Professor Department of Electrical Engineering Indian Institute of Technology Madras Chennai September 3, 2018 Janakiraman, IITM

More information

Pass-Transistor Logic

Pass-Transistor Logic -all 26 Digital tegrated ircuits nnouncements No new homework this week roject phase one due on Monday Midterm 2 next Thursday Review session on Tuesday Lecture 8 Logic Dynamic Logic EE4 EE4 2 lass Material

More information

CMPEN 411 VLSI Digital Circuits Spring 2011 Lecture 07: Pass Transistor Logic

CMPEN 411 VLSI Digital Circuits Spring 2011 Lecture 07: Pass Transistor Logic CMPEN 411 VLSI Digital Circuits Spring 2011 Lecture 07: Pass Transistor Logic [dapted from Rabaey s Digital Integrated Circuits, Second Edition, 2003 J. Rabaey,. Chandrakasan,. Nikolic] Sp11 CMPEN 411

More information

E40M Capacitors. M. Horowitz, J. Plummer, R. Howe

E40M Capacitors. M. Horowitz, J. Plummer, R. Howe E40M Capacitors 1 Reading Reader: Chapter 6 Capacitance A & L: 9.1.1, 9.2.1 2 Why Are Capacitors Useful/Important? How do we design circuits that respond to certain frequencies? What determines how fast

More information

Power Consumption in CMOS CONCORDIA VLSI DESIGN LAB

Power Consumption in CMOS CONCORDIA VLSI DESIGN LAB Power Consumption in CMOS 1 Power Dissipation in CMOS Two Components contribute to the power dissipation:» Static Power Dissipation Leakage current Sub-threshold current» Dynamic Power Dissipation Short

More information

Lecture 6: DC & Transient Response

Lecture 6: DC & Transient Response Lecture 6: DC & Transient Response Slides courtesy of Deming Chen Slides based on the initial set from David Harris CMOS VLSI Design Outline Pass Transistors DC Response Logic Levels and Noise Margins

More information

EE141-Fall Digital Integrated Circuits. Announcements. Lab #2 Mon., Lab #3 Fri. Homework #3 due Thursday. Homework #4 due next Thursday

EE141-Fall Digital Integrated Circuits. Announcements. Lab #2 Mon., Lab #3 Fri. Homework #3 due Thursday. Homework #4 due next Thursday EE4-Fall 2000 Digital Integrated ircuits Lecture 6 Inverter Delay Optimization Announcements Lab #2 Mon., Lab #3 Fri. Homework #3 due Thursday Homework #4 due next Thursday 2 2 lass Material Last lecture

More information

Chapter 9. Estimating circuit speed. 9.1 Counting gate delays

Chapter 9. Estimating circuit speed. 9.1 Counting gate delays Chapter 9 Estimating circuit speed 9.1 Counting gate delays The simplest method for estimating the speed of a VLSI circuit is to count the number of VLSI logic gates that the input signals must propagate

More information

! Energy Optimization. ! Design Space Exploration. " Example. ! P tot P static + P dyn + P sc. ! Steady-State: V in =V dd. " PMOS: subthreshold

! Energy Optimization. ! Design Space Exploration.  Example. ! P tot P static + P dyn + P sc. ! Steady-State: V in =V dd.  PMOS: subthreshold ESE 570: igital Integrated ircuits and VLSI undamentals Lec 17: March 26, 2019 Energy Optimization & esign Space Exploration Lecture Outline! Energy Optimization! esign Space Exploration " Example 3 Energy

More information

EE 434 Lecture 33. Logic Design

EE 434 Lecture 33. Logic Design EE 434 Lecture 33 Logic Design Review from last time: Ask the inverter how it will interpret logic levels V IN V OUT V H =? V L =? V LARGE V H V L V H Review from last time: The two-inverter loop X Y X

More information

! Dynamic Characteristics. " Delay

! Dynamic Characteristics.  Delay EE 57: Digital Integrated ircuits and LI Fundamentals Lecture Outline! Dynamic haracteristics " Delay Lec : February, 8 MO Inverter and Interconnect Delay 3 Review: Propogation Delay Definitions Dynamic

More information

Digital Integrated Circuits A Design Perspective

Digital Integrated Circuits A Design Perspective Digital Integrated Circuits Design Perspective Designing Combinational Logic Circuits Fuyuzhuo School of Microelectronics,SJTU Introduction Digital IC Dynamic Logic Introduction Digital IC 2 EE141 Dynamic

More information

Very Large Scale Integration (VLSI)

Very Large Scale Integration (VLSI) Very Large Scale Integration (VLSI) Lecture 4 Dr. Ahmed H. Madian Ah_madian@hotmail.com Dr. Ahmed H. Madian-VLSI Contents Delay estimation Simple RC model Penfield-Rubenstein Model Logical effort Delay

More information

! Inverter Power. ! Dynamic Characteristics. " Delay ! P = I V. ! Tricky part: " Understanding I. " (pairing with correct V) ! Dynamic current flow:

! Inverter Power. ! Dynamic Characteristics.  Delay ! P = I V. ! Tricky part:  Understanding I.  (pairing with correct V) ! Dynamic current flow: ESE 570: Digital Integrated ircuits and LSI Fundamentals Lecture Outline! Inverter Power! Dynamic haracteristics Lec 10: February 15, 2018 MOS Inverter: Dynamic haracteristics " Delay 3 Power Inverter

More information

Lecture 12 CMOS Delay & Transient Response

Lecture 12 CMOS Delay & Transient Response EE 471: Transport Phenomena in Solid State Devices Spring 2018 Lecture 12 CMOS Delay & Transient Response Bryan Ackland Department of Electrical and Computer Engineering Stevens Institute of Technology

More information

Objective and Outline. Acknowledgement. Objective: Power Components. Outline: 1) Acknowledgements. Section 4: Power Components

Objective and Outline. Acknowledgement. Objective: Power Components. Outline: 1) Acknowledgements. Section 4: Power Components Objective: Power Components Outline: 1) Acknowledgements 2) Objective and Outline 1 Acknowledgement This lecture note has been obtained from similar courses all over the world. I wish to thank all the

More information

EECS 427 Lecture 11: Power and Energy Reading: EECS 427 F09 Lecture Reminders

EECS 427 Lecture 11: Power and Energy Reading: EECS 427 F09 Lecture Reminders EECS 47 Lecture 11: Power and Energy Reading: 5.55 [Adapted from Irwin and Narayanan] 1 Reminders CAD5 is due Wednesday 10/8 You can submit it by Thursday 10/9 at noon Lecture on 11/ will be taught by

More information

Homework Assignment #1 Solutions EE 477 Spring 2017 Professor Parker

Homework Assignment #1 Solutions EE 477 Spring 2017 Professor Parker Homework Assignment #1 Solutions EE 477 Spring 2017 Professor Parker Note: + implies OR,. implies AND, ~ implies NOT Question 1: a) (4%) Use transmission gates to design a 3-input OR gate Note: There are

More information