Transcript Chapter 6

Chapter 6 (I)
Designing
Combinational
Logic Circuits
•Dynamic CMOS Logic
V1.0 5/4/2003
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Revision Chronicle
 5/4:
Split Chapter 6 into two parts: Part I focuses
on Static and Pass Transistor Logic. Part II
focuses on Dynamic Logic
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Dynamic CMOS

In static circuits at every point in time (except when
switching), the output is connected to either GND or
VDD via a low resistance path.
 Fan-in of n requires 2n (n N-type + n P-type)
devices

Dynamic circuits rely on the temporary storage of
signal values on the capacitance of high impedance
nodes.
 Requires on n + 2 (n+1 N-type + 1 P-type)
transistors
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Dynamic Gate
Clk
Clk
Mp
off
Mp on
Out
In1
In2
In3
Clk
CL
PDN
1
Out
((AB)+C)
A
C
B
Me
Clk
off
Me on
Two phase operation
Precharge (Clk = 0)
Evaluate (Clk = 1)
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Conditions on Output
Once the output of a dynamic gate is
discharged, it cannot be charged again until
the next precharge operation.
 Inputs to the gate can make at most one
transition during evaluation.


Output can be in the high impedance state
during and after evaluation (PDN off), state is
stored on CL
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Properties of Dynamic Gates

Logic function is implemented by the PDN only
 number of transistors is N + 2 (versus 2N for static complementary
CMOS)
Full swing outputs (VOL = GND and VOH = VDD)
 Non-ratioed - sizing of the devices does not affect
the logic levels
 Faster switching speeds

 reduced load capacitance due to lower input capacitance (Cin)
 reduced load capacitance due to smaller output loading (Cout)
 no Isc, so all the current provided by PDN goes into discharging CL
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Properties of Dynamic Gates

Overall power dissipation usually higher than static
CMOS
 no static current path ever exists between VDD and GND
(including Psc)
 no glitching
 Higher transition probabilities
 Extra load on Clk

PDN starts to work as soon as the input signals
exceed VTn, so VM, VIH and VIL equal to VTn
 Low noise margin (NML)

Needs a precharge/evaluate clock
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Issues in Dynamic Design 1:
Charge Leakage
CLK
Clk
Mp
Out
CL
A
Clk
Me
Evaluate
VOut
Precharge
Leakage sources
Dominant component is subthreshold current
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Solution to Charge Leakage
Keeper
Clk
Mp
A
Mkp
CL
Out
B
Clk
Me
Same approach as level restorer for pass-transistor logic
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Issues in Dynamic Design 2:
Charge Sharing
Clk
Mp
Out
A
CL
B=0
Clk
Charge stored originally on
CL is redistributed (shared)
over CL and CA leading to
reduced robustness
CA
Me
CB
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Charge Sharing Example
Clk
A
A
B
B
B
Cc=15fF
C
C
Ca=15fF
Out
CL=50fF
!B
Cb=15fF
Cd=10fF
Clk
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Charge Sharing
VV
DD
case 1) if V out < VTn
DD
Clk
Mp

Mp
Out
Out
CL
A
CL
Ma
A
Ma
X X
B =B0= 0
Clk

MM
b b
MM
e e
Ca
C
Cb
Cb
C L VDD = C L Vout  t  + Ca  VDD – V Tn  V X  
or
Ca
V out = Vout  t  – V DD = – --------  V DD – V Tn  V X  
CL
case 2) if V out > VTn
Ca 
 ---------------------
Vout = –V DD 
 Ca + CL 
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Solution to Charge Redistribution
Clk
Mp
Mkp
Clk
Out
A
B
Clk
Me
Precharge internal nodes using a clock-driven transistor
(at the cost of increased area and power)
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Issues in Dynamic Design 3:
Backgate Coupling
Clk
Mp
A=0
Out1 =1
CL1
Out2 =0
CL2
In
B=0
Clk
Me
Dynamic NAND
Static NAND
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Backgate Coupling Effect
3
2
Out1
1
Clk
0
In
Out2
2
Time, ns
-1
0
4
6
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Issues in Dynamic Design 4: Clock
Feedthrough
Coupling between Out and Clk
input of the precharge device
Clk
Mp
A
CL
due to the gate to drain
capacitance.
The voltage of Out can rise
B
Clk
Out
above VDD.
Me
The fast rising (and falling
edges) of the clock couple to
Out.
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Clock Feedthrough
Clock feedthrough
Clk
Out
2.5
In1
In2
1.5
In3
In &
Clk
0.5
In4
Clk
Out
-0.5
0
0.5
Time, ns
1
Clock feedthrough
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Other Effects
 Capacitive
coupling
 Substrate coupling
 Minority charge injection
 Supply noise (ground bounce)
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Cascading Dynamic Gates
V
Clk
Mp
Clk
Mp
Out1
Me
Clk
Out2
In
In
Clk
Clk
Me
Out1
VTn
V
Out2
t
Only 0  1 transitions allowed at inputs!
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Domino Logic
Clk
In1
In2
In3
Clk
Mp
11
10
PDN
Me
Out1
Clk
Mp Mkp
Out2
00
01
In4
In5
Clk
PDN
Me
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Why Domino?
Clk
Ini
Inj
Clk
PDN
Ini
Inj
PDN
Ini
Inj
PDN
Ini
Inj
PDN
Like falling dominos!
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Properties of Domino Logic
Only non-inverting logic can be implemented
 Very high speed

 static inverter can be skewed, only L-H transition
 Input capacitance reduced – smaller logical effort
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Designing with Domino Logic
VDD
VDD
VDD
Clk
Mp
Clk
Mp
Out1
Mr
Out2
In1
In2
In3
PDN
PDN
In4
Can be eliminated!
Clk
Me
Clk
Me
Inputs = 0
during precharge
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Footless Domino
VDD
Clk
VDD
Mp
Clk
Mp
Out1
0
Clk
1
0
Outn
1
0
In2
0
Mp
Out2
In1
1
VDD
1
0
In3
1
0
1
Inn
1
0
The first gate in the chain needs a foot switch
Precharge is rippling – short-circuit current
A solution is to delay the clock for each stage
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Differential (Dual Rail) Domino
off
Mp Mkp
Clk
Out = AB
1
on
Mkp
0
Clk
Mp
1
A
!A
0
Out = AB
!B
B
Clk
Me
Solves the problem of non-inverting logic
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np-CMOS
Clk
In1
In2
In3
Clk
Mp
11
10
PDN
Me
Out1
Clk
Me
In4
In5
PUN
00
01
Clk
Mp
Out2
(to PDN)
Only 0  1 transitions allowed at inputs of PDN
Only 1  0 transitions allowed at inputs of PUN
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NORA Logic
Clk
In1
In2
In3
Clk
Mp
11
10
Out1
PDN
Clk
Me
In4
In5
PUN
00
01
Clk
Me
to other
PDN’s
WARNING: Very Sensitive to Noise!
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Mp
Out2
(to PDN)
to other
PUN’s
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