CMOS VLSI DesignCircuits and Layout Slide 6
Series and Parallel
nMOS: 1 = ON
pMOS: 0 = ON
Series: both must be ON
Parallel: 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
CMOS VLSI DesignCircuits and Layout Slide 7
Conduction Complement
Complementary CMOS gates always produce 0 or 1
Ex: 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 -> parallelA
B
Y
CMOS VLSI DesignCircuits and Layout Slide 8
Compound Gates
Compound gatescan do any inverting function
Ex: A
B
C
D
A
B
C
D
A BC D
A B
C D
B
D
Y
A
C
A
C
A
B
C
D
B
D
Y
(a)
(c)
(e)
(b)
(d)
(f) Y = (A.B + C.D)’
CMOS VLSI DesignCircuits and Layout Slide 10
Example: O3AI
Y = ((A+B+C).D)’A B
Y
C
D
DC
B
A
CMOS VLSI DesignCircuits and Layout Slide 11
Signal Strength
Strengthof signal
–How close it approximates ideal voltage source
V
DDand GND rails are strongest 1 and 0
nMOS 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
CMOS VLSI DesignCircuits and Layout Slide 12
Pass Transistors
Transistors can be used as switchesg
s d
g
s d
CMOS VLSI DesignCircuits and Layout Slide 13
Pass Transistors
Transistors can be used as switchesg
s d
g = 0
s d
g = 1
s d
0 strong 0
Input Output
1 degraded 1
g
s d
g = 0
s d
g = 1
s d
0 degraded 0
Input Output
strong 1
g = 1
g = 1
g = 0
g = 0
CMOS VLSI DesignCircuits and Layout Slide 14
Transmission Gates
Pass transistors produce degraded outputs
Transmission gatespass both 0 and 1 well
CMOS VLSI DesignCircuits and Layout Slide 15
Transmission Gates
Pass transistors produce degraded outputs
Transmission gatespass both 0 and 1 wellg = 0, gb = 1
a b
g = 1, gb = 0
a b
0 strong 0
Input Output
1 strong 1
g
gb
a b
a b
g
gb
a b
g
gb
a b
g
gb
g = 1, gb = 0
g = 1, gb = 0
CMOS VLSI DesignCircuits and Layout Slide 16
Tristates
Tristate bufferproduces Z when not enabled
EN A Y
0 0
0 1
1 0
1 1A Y
EN
A Y
EN
EN
CMOS VLSI DesignCircuits and Layout Slide 17
Tristates
Tristate bufferproduces Z when not enabled
EN A Y
0 0 Z
0 1 Z
1 0 0
1 1 1A Y
EN
A Y
EN
EN
CMOS VLSI DesignCircuits and Layout Slide 18
Nonrestoring Tristate
Transmission gate acts as tristate buffer
–Only two transistors
–But nonrestoring
•Noise on A is passed on to YA Y
EN
EN
CMOS VLSI DesignCircuits and Layout Slide 19
Tristate Inverter
Tristate inverter produces restored output
–Violates conduction complement rule
–Because we want a Z outputA
Y
EN
EN
CMOS VLSI DesignCircuits and Layout Slide 20
Tristate Inverter
Tristate inverter produces restored output
–Violates conduction complement rule
–Because we want a Z outputA
Y
EN
A
Y
EN = 0
Y = 'Z'
Y
EN = 1
Y = A
A
EN
CMOS VLSI DesignCircuits and Layout Slide 21
Multiplexers
2:1 multiplexerchooses between two inputs
S D1 D0 Y
0 X 0
0 X 1
1 0 X
1 1 X0
1
S
D0
D1
Y
CMOS VLSI DesignCircuits and Layout Slide 22
Multiplexers
2:1 multiplexer chooses between two inputs
S D1 D0 Y
0 X 0 0
0 X 1 1
1 0 X 0
1 1 X 10
1
S
D0
D1
Y
CMOS VLSI DesignCircuits and Layout Slide 23
Gate-Level Mux Design
How many transistors are needed?10
(too many transistors)Y SD SD
CMOS VLSI DesignCircuits and Layout Slide 24
Gate-Level Mux Design
How many transistors are needed? 2010
(too many transistors)Y SD SD 4
4
D1
D0
S
Y
4
2
2
2Y
2
D1
D0
S
CMOS VLSI DesignCircuits and Layout Slide 25
Transmission Gate Mux
Nonrestoring mux uses two transmission gates
CMOS VLSI DesignCircuits and Layout Slide 26
Transmission Gate Mux
Nonrestoring mux uses two transmission gates
–Only 4 transistorsS
S
D0
D1
YS
CMOS VLSI DesignCircuits and Layout Slide 27
Inverting Mux
Inverting multiplexer
–Use compound AOI22
–Or pair of tristate inverters
–Essentially the same thing
Noninverting multiplexer adds an inverterS
D0 D1
Y
S
D0
D1
Y
0
1
S
Y
D0
D1
S
S
S
S
S
S
CMOS VLSI DesignCircuits and Layout Slide 28
4:1 Multiplexer
4:1 mux chooses one of 4 inputs using two selects
CMOS VLSI DesignCircuits and Layout Slide 29
4:1 Multiplexer
4:1 mux chooses one of 4 inputs using two selects
–Two levels of 2:1 muxes
–Or four tristatesS0
D0
D1
0
1
0
1
0
1
Y
S1
D2
D3
D0
D1
D2
D3
Y
S1S0S1S0S1S0S1S0
CMOS VLSI DesignCircuits and Layout Slide 30
D Latch
When 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 latchor level-sensitive latchCLK
D Q
Latch D
CLK
Q
CMOS VLSI DesignCircuits and Layout Slide 31
D Latch Design
Multiplexer chooses D or old Q1
0
D
CLK
Q
CLK
CLK
CLK
CLK
DQ Q
Q
CMOS VLSI DesignCircuits and Layout Slide 32
D Latch OperationCLK = 1
D Q
Q
CLK = 0
D Q
Q
D
CLK
Q
CMOS VLSI DesignCircuits and Layout Slide 33
D Flip-flop
When CLK rises, D is copied to Q
At all other times, Q holds its value
a.k.a. positive edge-triggered flip-flop, master-slave
flip-flopFlop
CLK
D Q D
CLK
Q
CMOS VLSI DesignCircuits and Layout Slide 34
D Flip-flop Design
Built from master and slave D latchesQM
CLK
CLK
CLK
CLK
Q
CLK
CLK
CLK
CLK
D
Latch Latch
D Q
QM
CLK
CLK
CMOS VLSI DesignCircuits and Layout Slide 35
D Flip-flop OperationCLK = 1
D
CLK = 0
Q
D
QM
QM
Q
D
CLK
Q
CMOS VLSI DesignCircuits and Layout Slide 36
Race Condition
Back-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 failureor race conditionCLK1
D
Q1
Flop Flop
CLK2
Q2
CLK1
CLK2
Q1
Q2
CMOS VLSI DesignCircuits and Layout Slide 37
Nonoverlapping Clocks
Nonoverlapping 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
1
1
1
1
2
2
2
2
2
1
QM
QD
CMOS VLSI DesignCircuits and Layout Slide 38
Gate Layout
Layout can be very time consuming
–Design gates to fit together nicely
–Build a library of standard cells
Standard cell design methodology
–V
DDand GND should abut (standard height)
–Adjacent gates should satisfy design rules
–nMOS at bottom and pMOS at top
–All gates include well and substrate contacts
CMOS VLSI DesignCircuits and Layout Slide 39
Example: Inverter
CMOS VLSI DesignCircuits and Layout Slide 40
Example: NAND3
Horizontal N-diffusion and p-diffusion strips
Vertical polysilicon gates
Metal1 V
DDrail at top
Metal1 GND rail at bottom
32 lby 40 l
CMOS VLSI DesignCircuits and Layout Slide 41
Stick Diagrams
Stick diagramshelp plan layout quickly
–Need not be to scale
–Draw with color pencils or dry-erase markers
CMOS VLSI DesignCircuits and Layout Slide 42
Wiring Tracks
A wiring trackis the space required for a wire
–4 lwidth, 4 lspacing from neighbor = 8 lpitch
Transistors also consume one wiring track
CMOS VLSI DesignCircuits and Layout Slide 43
Well spacing
Wells must surround transistors by 6 l
–Implies 12 lbetween opposite transistor flavors
–Leaves room for one wire track
CMOS VLSI DesignCircuits and Layout Slide 44
Area Estimation
Estimate area by counting wiring tracks
–Multiply by 8 to express in l
CMOS VLSI DesignCircuits and Layout Slide 45
Example: O3AI
Sketch a stick diagram for O3AI and estimate area
–Y = ((A+B+C).D)’
CMOS VLSI DesignCircuits and Layout Slide 46
Example: O3AI
Sketch a stick diagram for O3AI and estimate area
–Y = ((A+B+C).D)’
CMOS VLSI DesignCircuits and Layout Slide 47
Example: O3AI
Sketch a stick diagram for O3AI and estimate area
–Y = ((A+B+C).D)’