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1 Introduction to CMOS VLSI Design Lecture 1: Intro to CMOS Circuits David Harris Harvey Mudd College Spring 2004 Steven Levitan Fall 2008

Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

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Page 1: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

1

Introduction toCMOS VLSI

Design

Lecture 1: Intro to CMOS Circuits

David Harris

Harvey Mudd CollegeSpring 2004

Steven LevitanFall 2008

Page 2: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

2

1: Circuits & Layout Slide 2CMOS VLSI Design

OutlineA Brief HistoryCMOS Gate DesignPass TransistorsCMOS Latches & Flip-FlopsStandard Cell LayoutsStick Diagrams

Page 3: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

3

1: Circuits & Layout Slide 3CMOS VLSI Design

A Brief History1958: First integrated circuit– Flip-flop using two transistors– Built by Jack Kilby at Texas Instruments

2003– Intel Pentium 4 μprocessor (55 million transistors)– 512 Mbit DRAM (> 0.5 billion transistors)

53% compound annual growth rate over 45 years– No other technology has grown so fast so long

Driven by miniaturization of transistors– Smaller is cheaper, faster, lower in power!– Revolutionary effects on society

Page 4: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

4

1: Circuits & Layout Slide 4CMOS VLSI Design

Annual Sales1018 transistors manufactured in 2003– 100 million for every human on the planet

0

50

100

150

200

1982 1984 1986 1988 1990 1992 1994 1996 1998 2000 2002

Year

Global S

emiconductor B

illings(B

illions of US

$)

Page 5: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

5

1: Circuits & Layout Slide 5CMOS VLSI Design

Invention of the TransistorVacuum tubes ruled in first half of 20th century Large, expensive, power-hungry, unreliable1947: first point contact transistor– John Bardeen and Walter Brattain at Bell Labs– Read Crystal Fire

by Riordan, Hoddeson

Page 6: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

6

1: Circuits & Layout Slide 6CMOS VLSI Design

Transistor TypesBipolar transistors– npn or pnp silicon structure– Small current into very thin base layer controls

large currents between emitter and collector– Base currents limit integration density

Metal Oxide Semiconductor Field Effect Transistors– nMOS and pMOS MOSFETS– Voltage applied to insulated gate controls current

between source and drain– Low power allows very high integration

Page 7: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

7

1: Circuits & Layout Slide 7CMOS VLSI Design

1970’s processes usually had only nMOS transistors– Inexpensive, but consume power while idle

1980s-present: CMOS processes for low idle power

MOS Integrated Circuits

Intel 1101 256-bit SRAM Intel 4004 4-bit μProc

Page 8: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

8

1: Circuits & Layout Slide 8CMOS VLSI Design

Moore’s Law1965: Gordon Moore plotted transistor on each chip– Fit straight line on semilog scale– Transistor counts have doubled every 26 months

Year

Transistors

40048008

8080

8086

80286Intel386

Intel486Pentium

Pentium ProPentium II

Pentium IIIPentium 4

1,000

10,000

100,000

1,000,000

10,000,000

100,000,000

1,000,000,000

1970 1975 1980 1985 1990 1995 2000

Integration Levels

SSI: 10 gates

MSI: 1000 gates

LSI: 10,000 gates

VLSI: > 10k gates

Page 9: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

9

1: Circuits & Layout Slide 9CMOS VLSI Design

CorollariesMany other factors grow exponentially – Ex: clock frequency, processor performance

Year

1

10

100

1,000

10,000

1970 1975 1980 1985 1990 1995 2000 2005

4004

8008

8080

8086

80286

Intel386

Intel486

Pentium

Pentium Pro/II/III

Pentium 4

Clock S

peed (MH

z)

Page 10: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

10

EE14110

© Digital Integrated Circuits2nd Manufacturing

MOS transistorsMOS transistorsTypes and SymbolsTypes and Symbols

D

S

G

D

S

G

G

S

D D

S

G

NMOS Enhancement NMOS

PMOS

Depletion

Enhancement

B

NMOS withBulk Contact

Digital Integrated Circuits © Prentice Hall 1995IntroductionIntroductionECE 1192 © 2006, Steven Levitan, University of Pittsburgh

Do not forget:These are all 4 terminal devices

Page 11: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

11

EE14111

© Digital Integrated Circuits2nd Manufacturing

The Basic IdeaThe Basic Idea……

Voltage on the Gate controls the current through the source/drain path

N-Channel - N-Switches are ON when the Gate is HIGH and OFF when the Gate is LOW

P-Channel - P-Switches are OFF when the Gate is HIGH and ON when the Gate is LOW

(ON == Circuit between Source and Drain)

ECE 1192 © 2006, Steven Levitan, University of Pittsburgh

Page 12: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

12

EE14112

© Digital Integrated Circuits2nd Manufacturing

Transistors as SwitchesTransistors as Switches

GS

D

GD

S

N Switch

P Switch

0

1

1

0

Passes “good zeros”

Passes “good ones”

ECE 1192 © 2006, Steven Levitan, University of Pittsburgh

Page 13: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

13

EE14113

© Digital Integrated Circuits2nd Manufacturing

Four Views Four Views

Logic Transistor Layout Physical

ECE 1192 © 2006, Steven Levitan, University of Pittsburgh

Page 14: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

14

EE14114

© Digital Integrated Circuits2nd Manufacturing

CMOS N Well ProcessCMOS N Well Process

P-Channel in an N well

N-Channel in a P substrate

Page 15: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

15

EE14115

© Digital Integrated Circuits2nd Manufacturing

3D Perspective3D Perspective

Polysilicon Aluminum

Page 16: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

16

EE14116

© Digital Integrated Circuits2nd Manufacturing

A Modern Dual Well CMOS ProcessA Modern Dual Well CMOS Process

p-well n-well

p+

p-epi

SiO2

AlCu

poly

n+

SiO2

p+

gate-oxide

Tungsten

TiSi2

DualDual--Well TrenchWell Trench--Isolated CMOS ProcessIsolated CMOS Process

epi – epitaxial = grown with matching crystal structureTiSi – silicide = low resistance coating (real trenches are much deeper)

Page 17: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

17

1: Circuits & Layout Slide 17CMOS VLSI Design

Complementary CMOSComplementary CMOS logic gates– nMOS pull-down network– pMOS pull-up network– a.k.a. static CMOS

pMOSpull-upnetwork

outputinputs

nMOSpull-downnetwork

X (crowbar)0Pull-down ON

1Z (float)Pull-down OFFPull-up ONPull-up OFF

Page 18: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

18

1: Circuits & Layout Slide 18CMOS VLSI Design

Series and ParallelnMOS: 1 = ONpMOS: 0 = ONSeries: both must be ONParallel: either can be ON

(a)

a

b

a

b

g1

g2

0

0

a

b

0

1

a

b

1

0

a

b

1

1

OFF OFF OFF ON

(b)

a

b

a

b

g1

g2

0

0

a

b

0

1

a

b

1

0

a

b

1

1

ON OFF OFF OFF

(c)

a

b

a

b

g1 g2 0 0

OFF ON ON ON

(d) ON ON ON OFF

a

b

0

a

b

1

a

b

11 0 1

a

b

0 0

a

b

0

a

b

1

a

b

11 0 1

a

b

g1 g2

Page 19: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

19

1: Circuits & Layout Slide 19CMOS VLSI Design

Conduction ComplementComplementary CMOS gates always produce 0 or 1Ex: NAND gate– Series nMOS: Y=0 when both inputs are 1– Thus Y=1 when either input is 0– Requires parallel pMOS

Rule of Conduction Complements– Pull-up network is complement of pull-down– Parallel -> series, series -> parallel

A

B

Y

Page 20: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

20

1: Circuits & Layout Slide 20CMOS VLSI Design

CMOS Gate DesignActivity:– Sketch a 4-input CMOS NAND gate

Page 21: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

21

1: Circuits & Layout Slide 21CMOS VLSI Design

CMOS Gate DesignActivity:– Sketch a 4-input CMOS NOR gate

A

B

C

DY

Page 22: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

22

1: Circuits & Layout Slide 22CMOS VLSI Design

Compound GatesCompound gates can do any inverting functionEx: (AND-AND-OR-INVERT, AOI22)Y A B C D= +

A

B

C

D

A

B

C

D

A B C DA B

C D

B

D

YA

CA

C

A

B

C

D

B

D

Y

(a)

(c)

(e)

(b)

(d)

(f)

Page 23: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

23

1: Circuits & Layout Slide 23CMOS VLSI Design

Example: O3AI( )Y A B C D= + +

Page 24: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

24

1: Circuits & Layout Slide 24CMOS VLSI Design

Example: O3AI ( )Y A B C D= + +

A B

Y

C

D

DC

B

A

Page 25: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

25

1: Circuits & Layout Slide 25CMOS VLSI Design

Signal StrengthStrength of signal– How close it approximates ideal voltage source

VDD and GND rails are strongest 1 and 0nMOS pass strong 0– But degraded or weak 1

pMOS pass strong 1– But degraded or weak 0

Thus nMOS are best for pull-down network

Page 26: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

26

1: Circuits & Layout Slide 26CMOS VLSI Design

Pass TransistorsTransistors can be used as switches

g

s d

g

s d

Page 27: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

27

1: Circuits & Layout Slide 27CMOS VLSI Design

Pass TransistorsTransistors can be used as switches

g

s d

g = 0s d

g = 1s d

0 strong 0Input Output

1 degraded 1

g

s d

g = 0s d

g = 1s d

0 degraded 0Input Output

strong 1

g = 1

g = 1

g = 0

g = 0

Page 28: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

28

1: Circuits & Layout Slide 28CMOS VLSI Design

Transmission GatesPass transistors produce degraded outputsTransmission gates pass both 0 and 1 well

Page 29: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

29

1: Circuits & Layout Slide 29CMOS VLSI Design

Transmission GatesPass transistors produce degraded outputsTransmission gates pass both 0 and 1 well

g = 0, gb = 1a b

g = 1, gb = 0a b

0 strong 0

Input Output

1 strong 1

g

gb

a b

a bg

gb

a bg

gb

a bg

gb

g = 1, gb = 0

g = 1, gb = 0

Page 30: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

30

1: Circuits & Layout Slide 30CMOS VLSI Design

TristatesTristate buffer produces Z when not enabled

11011000

YAEN

A Y

EN

A Y

EN

EN

Page 31: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

31

1: Circuits & Layout Slide 31CMOS VLSI Design

TristatesTristate buffer produces Z when not enabled

111001Z10Z00YAEN

A Y

EN

A Y

EN

EN

Page 32: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

32

1: Circuits & Layout Slide 32CMOS VLSI Design

Nonrestoring TristateTransmission gate acts as tristate buffer– Only two transistors– But nonrestoring

• Noise on A is passed on to Y

A Y

EN

EN

Page 33: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

33

1: Circuits & Layout Slide 33CMOS VLSI Design

Tristate InverterTristate inverter produces restored output– Violates conduction complement rule– Because we want a Z output

A

YEN

EN

Page 34: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

34

1: Circuits & Layout Slide 34CMOS VLSI Design

Tristate InverterTristate inverter produces restored output– Violates conduction complement rule– Because we want a Z output

A

YEN

A

Y

EN = 0Y = 'Z'

Y

EN = 1Y = A

A

EN

Page 35: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

35

1: Circuits & Layout Slide 35CMOS VLSI Design

Multiplexers2:1 multiplexer chooses between two inputs

X11

X01

1X0

0X0

YD0D1S

0

1

S

D0

D1Y

Page 36: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

36

1: Circuits & Layout Slide 36CMOS VLSI Design

Multiplexers2:1 multiplexer chooses between two inputs

1X11

0X01

11X0

00X0

YD0D1S

0

1

S

D0

D1Y

Page 37: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

37

1: Circuits & Layout Slide 37CMOS VLSI Design

Gate-Level Mux Design

How many transistors are needed?1 0 (too many transistors)Y SD SD= +

Page 38: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

38

1: Circuits & Layout Slide 38CMOS VLSI Design

Gate-Level Mux Design

How many transistors are needed? 201 0 (too many transistors)Y SD SD= +

44

D1

D0S Y

4

2

22 Y

2

D1

D0S

Page 39: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

39

1: Circuits & Layout Slide 39CMOS VLSI Design

Transmission Gate MuxNonrestoring mux uses two transmission gates

Page 40: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

40

1: Circuits & Layout Slide 40CMOS VLSI Design

Transmission Gate MuxNonrestoring mux uses two transmission gates– Only 4 transistors

S

S

D0

D1YS

Page 41: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

41

1: Circuits & Layout Slide 41CMOS VLSI Design

Inverting MuxInverting multiplexer– Use compound AOI22– Or pair of tristate inverters– Essentially the same thing

Noninverting multiplexer adds an inverter

S

D0 D1

Y

S

D0

D1Y

0

1S

Y

D0

D1

S

S

S

S

S

S

Page 42: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

42

1: Circuits & Layout Slide 42CMOS VLSI Design

4:1 Multiplexer4:1 mux chooses one of 4 inputs using two selects

Page 43: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

43

1: Circuits & Layout Slide 43CMOS VLSI Design

4:1 Multiplexer4:1 mux chooses one of 4 inputs using two selects– Two levels of 2:1 muxes– Or four tristates

S0

D0

D1

0

1

0

1

0

1Y

S1

D2

D3

D0

D1

D2

D3

Y

S1S0 S1S0 S1S0 S1S0

Page 44: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

44

1: Circuits & Layout Slide 44CMOS VLSI Design

D LatchWhen CLK = 1, latch is transparent– D flows through to Q like a buffer

When CLK = 0, the latch is opaque– Q holds its old value independent of D

a.k.a. transparent latch or level-sensitive latch

CLK

D Q

Latc

h D

CLK

Q

Page 45: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

45

1: Circuits & Layout Slide 45CMOS VLSI Design

D Latch DesignMultiplexer chooses D or old Q

1

0

D

CLK

QCLK

CLKCLK

CLK

DQ Q

Q

Page 46: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

46

1: Circuits & Layout Slide 46CMOS VLSI Design

D Latch Operation

CLK = 1

D Q

Q

CLK = 0

D Q

Q

D

CLK

Q

Page 47: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

47

1: Circuits & Layout Slide 47CMOS VLSI Design

D Flip-flopWhen CLK rises, D is copied to QAt all other times, Q holds its valuea.k.a. positive edge-triggered flip-flop, master-slave flip-flop

Flop

CLK

D Q

D

CLK

Q

Page 48: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

48

1: Circuits & Layout Slide 48CMOS VLSI Design

D Flip-flop DesignBuilt from master and slave D latches

QMCLK

CLKCLK

CLK

Q

CLK

CLK

CLK

CLK

D

Latc

h

Latc

h

D QQM

CLK

CLK

Page 49: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

49

1: Circuits & Layout Slide 49CMOS VLSI Design

D Flip-flop Operation

CLK = 1

D

CLK = 0

Q

D

QM

QMQ

D

CLK

Q

Page 50: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

50

1: Circuits & Layout Slide 50CMOS VLSI Design

Race ConditionBack-to-back flops can malfunction from clock skew– Second flip-flop fires late– Sees first flip-flop change and captures its result– Called hold-time failure or race condition

CLK1

D Q1

Flop

Flop

CLK2

Q2

CLK1

CLK2

Q1

Q2

Page 51: Lecture 1: Intro to CMOS Circuits - University of Pittsburgh...1: Circuits & Layout Slide 6CMOS VLSI Design Transistor Types Bipolar transistors – npn or pnp silicon structure –

51

1: Circuits & Layout Slide 51CMOS VLSI Design

Nonoverlapping ClocksNonoverlapping clocks can prevent races– As long as nonoverlap exceeds clock skew

We will use them in this class for safe design– Industry manages skew more carefully instead

φ1

φ1φ1

φ1

φ2

φ2φ2

φ2

φ2

φ1

QMQD