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R1218x SERIES
Step-up DC/DC converter for White LED Backlight
NO.EA-166-070905
OUTLINE
The R1218x Series are PWM control type step-up DC/DC converter ICs with low supply current. The R1218x is fully dedicated to drive White LED with constant current. Each of these ICs consists of an NMOS FET, an oscillator, a PWM comparator, a voltage reference unit, an error amplifier, an under voltage lockout circuit (UVLO), an over-voltage protection circuit (OVP), and so on. The R1218x can drive white LEDs with high efficiency with low supply current. A diode is built-in the R1218xxx1A, therefore it is possible to drive up to 4LEDs without an external diode. The R1218xxx2A, an external diode is necessary, however, up to 6 serial LEDs can be driven with the R1218xxx2A. Constant current can be set with an external resistance value. Dimming control is possible by PWM signal for CE pin. Feedback voltage is 0.2V, therefore power loss by current setting resistance is small and efficiency is good. Maximum duty cycle is internally fixed, Typ. 91%. LEDs can be driven from low voltage. Protection circuits are the current limit of Lx peak current, the over voltage limit of output, and the under voltage lockout function. Packages are standard SOT-23-6 and very tiny PLP1820-6.
FEATURES
* * * * * * * * * Operating voltage.......................................... 1.8V to 5.5V Built-in 400mA, 1.5, 20V Nch MOSFET (R1218xxx1A) Built-in 400mA, 1.5, 29V Nch MOSFET (R1218xxx2A) Oscillator Frequency (PWM control)............. 1.2MHz Maximum Duty Cycle .................................... Typ. 91% Feedback Voltage ......................................... Typ. 0.2V UVLO Threshold Voltage .............................. Typ. 1.6V (Hysteresis Typ. 0.1V) Lx Current limit Protection............................. Typ. 700mA Over Voltage Protection (OVP) Threshold .... Typ. 9.5V (R1218x021A) Typ. 14.0V (R1218x031A) Typ. 18.5V (R1218x041A) Typ. 23.0V (R1218x052A) Typ. 27.5V (R1218x062A) * LED dimming control..................................... by external PWM signal (Frequency 200Hz to 5kHz) to CE pin by feedback voltage and filtered PWM signal (high frequency) * Packages ...................................................... SOT-23-6 or PLP1820-6
APPLICATION
* White LED Backlight for portable equipment
1
R1218x
BLOCK DIAGRAMS
R1218xxx1A
VFB
VIN
LX
VOUT
Error Amp PWM Comp R S Vref OSC Slope Compensation Q
UVLO
Switch Control
OVP
Current Protect
Current sense
Shutdown delay Chip Enable
CE
R1218xxx2A
GND
VFB
VIN
LX
VOUT
Error Amp PWM Comp R S Vref OSC Slope Compensation Q
UVLO
Switch Control
OVP
Current Protect
Current sense
Shutdown delay Chip Enable
CE
GND
2
R1218x
SELECTION GUIDE
The OVP threshold voltage and the package for the ICs can be selected at the user's request. The selection can be available by designating the part number as shown below;
R1218xxxxx-xx-x Part Number
a Code a b cd Contents Designation of Package Type: N: SOT-23-6 K: PLP1820-6 Designation of OVP threshold and with/without of built-in diode 021A: 9.5V with built-in diode 031A: 14.0V with built-in diode 041A: 18.5V with built-in diode 052A: 23.0V without built-in diode 062A: 27.5V without built-in diode Designation of Taping Type: Ex. TR (refer to Taping Specifications; for SOT-23-6 and PLP1820-6) Designation of composition of plating: -F : Lead free plating (SOT-23-6) None : Au plating (PLP1820-6)
b
c d
3
R1218x
PIN CONFIGURATIONS
* SOT-23-6
6 5 4
* PLP1820-6
Top View
6 5 4
Bottom View
4 5 6
(mark side)
1
2
3
1
2
3
3
2
1
PIN DESCRIPTIONS
*
SOT-23-6
Pin No. 1 2 3 4 5 6 Symbol CE VOUT VIN Lx GND VFB Description Chip Enable Pin Output Pin Power Supply Input Pin Switching Pin (Open Drain Output) Ground Pin Feedback Pin
*
PLP1820-6
Pin No. 1 2 3 4 5 6 Symbol CE VFB Lx GND VIN VOUT Description Chip Enable Pin Feedback Pin Switching Pin (Open Drain Output) Ground Pin Power Supply Input Pin Output Pin
Tab in the parts have GND level. (They are connected to the back side of this IC.) Do not connect to other wires or land patterns.
ABSOLUTE MAXIMUM RATINGS
Symbol VIN VCE VFB VOUT VIN Pin Voltage CE Pin Voltage VFB Pin Voltage VOUT Pin Voltage R1218xxx1A R1218xxx2A VLX ILX PD Topt Tstg LX Pin Voltage LX Pin Current Power Dissipation (SOT-23-6) *
Note1 Note1
(GND=0V)
Item
Rating 6.5 -0.3 to VIN+0.3 -0.3 to VIN+0.3 -0.3 to 22 -0.3 to 32 -0.3 to 22 -0.3 to 32 800 420 880 -40 to 85 -55 to 125
Unit V V V V
R1218xxx1A R1218xxx2A
V mA mW C C
Power Dissipation (PLP1820-6) * Operating Temperature Range Storage Temperature Range
*Note1) For Power Dissipation, please refer to PACKAGE INFORMATION to be described. 4
R1218x
ELECTRICAL CHARACTERISTICS
*
R1218xxxxA
Symbol VIN IDD Istandby VUVLO1 VUVLO2 VCEH VCEL RCE tshtdn VFB VFB/ Topt IFB RON ILXleak ILXlim Vf IDIODEleak fosc Maxduty Item Operating Input Voltage Supply Current Standby Current UVLO Detector Threshold UVLO Released Voltage CE Input Voltage "H" CE Input Voltage "L" CE Pull Down Resistance CE Shutdown Delay Time VFB Voltage VFB Voltage Temperature Coefficient VFB Input Current Switch On Resistance Switch Leakage Current Switch Current Limit Diode Forward Voltage Diode Leakage Current Oscillator Frequency Maximum Duty Cycle VIN=5.5V, VFB=0V, Lx at no load VIN=5.5V, VCE=0V VIN falling VIN rising VIN=5.5V VIN=1.8V VIN=3.6V VIN=3.6V VIN=3.6V VIN=3.6V, -40C
< =
Topt=25C
Conditions
Min. 1.8
Typ.
Max. 5.5
Unit V mA A V V V
0.5 0 1.5 1.6 VUVLO1 +0.1 1.5
1.0 3.0 1.7 1.8
0.5 600 1200 10 0.19 Topt
< =
V k ms V ppm /C
2200
0.20 150
0.21
85C -0.1
VIN=5.5V, VFB=0V or 5.5V VIN=3.6V, ISW=100mA R1218xxx1A R1218xxx2A VIN=3.6V R1218xxx1A IDIODE=100mA R1218xxx1A VOUT=20V, VLX=0V VIN=3.6V, VOUT=VFB=0V VIN=3.6V, VOUT=VFB=0V R1218x021A R1218x031A VLX=20V VLX=29V
0.1 1.5 0 0 3.0 3.0 1000
A A A mA V A
400
700 0.8 10
1.0 86 8.5 13.0 17.0 21.5 26.0
1.2 91 9.5 14.0 18.5 23.0 27.5 VOVP1 -0.5 VOVP1 -0.75 VOVP1 -1.0 VOVP1 -1.25 VOVP1 -1.5
1.4
MHz %
10.5 15.0 20.0 24.5 29.0 V
VOVP1
OVP Detector Threshold
VIN=3.6V, VOUT rising
R1218x041A R1218x052A R1218x062A R1218x021A R1218x031A
VOVP2
OVP Released Voltage
VIN=3.6V, VOUT falling
R1218x041A R1218x052A R1218x062A
V
5
R1218x
TYPICAL APPLICATIONS
R1218x041A
L1 22H C1 1F
R1218x062A
L1 22H
C2 0.22F
C1 1F
VIN
LX
VIN LX
C2 0.22F
CE
VOUT
CE VOUT
GND
VFB
R1 10
GND
VFB
R1 10
*
LED Current setting
LED current can be set with feedback resister(R1) ILED=0.2 / R1
*
LED Dimming Control, Softstart
(1) LED dimming control by PWM signal to CE pin LED dimming control is possible by forcing PWM signal to CE pin. When the power-on or start up with CE pin, softstart function works, however, after that, if the CE pin is set as "L" and set CE pin "H" again during the shutdown delay time, softstart function is disabled and starts up fast to normal mode, therefore 200Hz to 5kHz PWM signal is standard. By the CE pin input, LED turns on and off. Average LED current varies depending on the duty cycle of CE input. Too high frequency PWM signal is not effective because of its delay.
CE VFB R1
Dimming controle by CE pin input
6
R1218x
(2) Dimming control by DC voltage LED dimming control is also possible by using the DC voltage to VFB pin. LED current is adjustable by DC voltage and resisters, R1 and R2 in the following figure. ILED=(DC - 0.2) / R2 - 0.2 / R1
R2 VFB R1 DC
Dimming control by DC voltage (3) Dimming control by feedback voltage and filtered PWM signal LED dimming control is also possible by using the feedback voltage and filtered PWM signal. LED current is adjustable according to the "H" level (VH) and "L" level(VL) of PWM signal and resisters,
R2 VFB R3 C3 R4 R1 VH VL
Dimming controle by filtered PWM signal R1, R2, R3, and R4 in the figure5. Duty=0% to 100% PWM signal duty cycle can be used up to the maximum LED current and minimum LED current as in the next formulas. ILEDMIN=(0.2 - R2 x (VH - 0.2) / (R3 + R4)) / R1 ILEDMAX=(0.2 - R2 x (VL - 0.2) / (R3 + R4)) / R1 For example, supposed that the PWM signal level is set as 2.5V/0V, to adjust the LED current range from 0mA to 20mA by the duty cycle, our recommendation external components values are, R1=10, R2=5.1k, R3=51k, R4=5.1k or around. C3 should be set large enough to regard the PWM signal as adjustable DC voltage by the filter. In this method, higher frequency control than the frequency against the CE pin can be used for dimming control. For example, if the frequency is 40kHz, 0.1F or more capacitor is our recommendation value as C3.
7
R1218x
*
Selection of Inductors
The peak current of the inductor at normal mode can be calculated as next formula: ILXpeak=1.25 x ILED x VOUT / VIN + 0.5 x VIN x (VOUT - VIN) / (L x VOUT x fosc) When the start-up or dimming control by CE pin, transient current flows, the peak current must be equal or less than the current limit of the IC. The peak current should not beyond the rating current of the inductor. For example, for 4 serial LED drive from VIN=3.6V, recommendation value of the inductor is 22H or more.
*
Selection of Capacitors
Set 1F or more value bypass capacitor C1 between VIN pin and GND pin as close as posible. Set 0.22F or more capacitor C2 between VOUT and GND pin.
TEST CIRCUITS
A
VIN R1218x Series CE
LX
VOUT
LX R1218x Series CE VOUT
VIN
OSCILLOSCOPE
GND
VFB
GND
VFB
Supply Current Test Circuit
UVLO Detector Threshold, UVLO Released Voltage
LX R1218x Series VOUT CE
VIN
VIN OSCILLOSCOPE
LX R1218x Series CE VOUT
OSCILLOSCOPE
GND
VFB
GND
VFB
VFB Voltage, Oscillator Frequency, Maximum Duty Test Circuit
OVP Detector Threshold, OVP Released Voltage Test Circuit
8
R1218x
TYPICAL CHARACTERISTICS
1) Efficiency vs. LED Current (2LED) L:LQH32CN220 (Topt=25C)
R1218x021A
100 90 80 70 60 50 40 30 20 10 0 0 4 VIN=1.8V 100 90 80 70 60 50 40 30 20 10 0 0 4
R1218x021A
VIN=3.6V
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
R1218x021A
100 90 80 70 60 50 40 30 20 10 0 0 4 VIN=4.2V
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
2). Efficiency vs. LED Current (3LED) L: LQH32CN220 (Topt=25C)
R1218x031A
100 90 80 70 60 50 40 30 20 10 0 0 4 VIN=2.7V 100 90 80 70 60 50 40 30 20 10 0 0 4
R1218x031A
VIN=3.6V
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
9
R1218x
R1218x031A
100 90 80 70 60 50 40 30 20 10 0 0 4 VIN=4.2V
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
3) Efficiency vs. LED Current (4 LED ) L: LQH32CN220 (Topt=25C)
R1218x041A
100 90 80 70 60 50 40 30 20 10 0 0 4 VIN=2.7V 100 90 80 70 60 50 40 30 20 10 0 0 4
R1218x041A
VIN=3.6V
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
R1218x041A
100 90 80 70 60 50 40 30 20 10 0 0 4 VIN=4.2V
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
10
R1218x
4) Efficiency vs. LED Current (6LED) L: LQH32CN220, Diode: CRS02 (Topt=25C)
R1218x062A
100 90 80 70 60 50 40 30 20 10 0 0 4 VIN=2.7V 100 90 80 70 60 50 40 30 20 10 0 0 4
R1218x062A
VIN=3.6V
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
R1218x062A
100 90 80 70 60 50 40 30 20 10 0 0 4 VIN=4.2V
Efficiency (%)
8 12 16 LED Current lLED (mA)
20
5) PWM Dimming Control (2 LED) VIN=3.6V, R1=10 5-1. Duty vs. LED Current (Topt=25C)
R1218x021A
25.0 22.5 20.0 17.5 15.0 12.5 10.0 7.5 5.0 2.5 0 0 20 40 60 Duty (%)
LED Current lLED (mA)
5kHz 1kHz 200Hz 80 100
11
R1218x
5-2. Output Voltage Waveform (Topt=25C)
R1218x021A
fosc=200Hz 10
Output Voltage VOUT (V) Output Voltage VOUT (V)
R1218x021A
fosc=5kHz 10
CE Input Voltage VCE (V)
CE Input Voltage VCE (V)
CE Input Voltage
CE Input Voltage VCE(V)
5 0
CE Input Voltage
5 0
10 5 0 0
Output Voltage
10 5 0
Output Voltage
0.8
1.6 2.4 Time (ms)
3.2
0
0.04
0.08 0.12 Time (ms)
0.16
6) PWM Dimming Control (4 LED) VIN=3.6V, R1=10 6-1. Duty vs. LED Current (Topt=25C)
R1218x041A
25.0 22.5 20.0 17.5 15.0 12.5 10.0 7.5 5.0 2.5 0 0 20 40 60 Duty (%)
LED Current lLED (mA)
5kHz 1kHz 200Hz 80 100
6-2. Output Voltage Waveform (4 LED) (Topt=25C)
R1218x041A
fosc=200Hz 10
Output Voltage VOUT (V)
R1218x041A
fosc=5kHz 10
CE Input Voltage VCE (V)
Output Voltage VOUT (V)
CE Input Voltage
5 0
CE Input Voltage
5 0
20 10 0 0
Output Voltage
20 10 0
Output Voltage
0.8
1.6 2.4 Time (ms)
3.2
0
0.04
0.08 0.12 Time (ms)
0.16
12
R1218x
7) PWM Dimming Control (6 LED) VIN=3.6V, R1=10 7-1. Duty vs. LED Current (Topt=25C)
R1218x062A
25.0 22.5 20.0 17.5 15.0 12.5 10.0 7.5 5.0 2.5 0 0 20 40 60 Duty (%)
LED Current lLED (mA)
5kHz 1kHz 200Hz 80 100
7-2. Output Voltage Waveform (6 LED) (Topt=25C)
R1218x062A
fosc=200Hz 10
Output Voltage VOUT (V)
R1218x062A
fosc=5kHz 10
CE Input Voltage VCE (V)
Output Voltage VOUT (V)
CE Input Voltage
5 0
CE Input Voltage
5 0
20 10 0 0
Output Voltage
20 Output Voltage 10 0
0.8
1.6 2.4 Time (ms)
3.2
0
0.04
0.08 0.12 Time (ms)
0.16
8) VFB Voltage vs. Temperature
R1218x041A
VIN=3.6V 0.215
VFB Voltage VFB (V)
9) UVLO Detector Threshold/Released Voltage vs. Temperature
R1218x041A
UVLO Detector Threshold UVLO1 (V)
VIN=3.6V 1.74 1.70 UVLO Released 1.66 1.62 1.58 1.54 1.50 -40 -25 UVLO Detector
0.210 0.205 0.200 0.195 0.190 0.185 -40 -25
0 25 50 Temperature Topt (C)
75 85
0 25 50 Temperature Topt (C)
75 85
CE Input Voltage VCE (V)
13
R1218x
10) Oscillator Frequency vs. Temperature
R1218x041A
VIN=3.6V
Oscillator Frequency fosc (kHz)
11) Maximum duty cycle vs. Temperature
R1218x041A
VIN=3.6V 99 97
1400 1350 1300 1250 1200 1150 1100 1050 1000 -40 -25 0 25 50 Temperature Topt (C) 75 85
Maxduty (%)
95 93 91 89 87 85 -40 -25 0 25 50 Temperature Topt (C) 75 85
12) OVP Detector Threshold/Released Voltage vs. Temperature
R1218x041A
OVP Detector Threshold VOVP1 (V)
13) Supply Current vs. Temperature
R1218x041A
VIN=3.6V 360
Supply Current ICC (A)
VIN=3.6V 20.5 20.0 19.5 19.0 18.5 18.0 17.5 17.0 16.5 -40 -25 320 280 240 200 160 120 80 40 0 -40 -25
OVP Detector Threshold
OVP Released Voltage
0 25 50 Temperature Topt (C)
75 85
0 25 50 Temperature Topt (C)
75 85
14) LX Current Limit vs. Temperature
R1218x041A
VIN=3.6V 1000
Lx Current Limit Ilim (mA)
900 800 700 600 500 400 300 -40 -25 0 25 50 Temperature Topt (C) 75 85
14
R1218x
15) OVP Transient Response (Topt=25C)
R1218x021A
OVP Detector Threshold VOVP1 (V)
R1218x041A
OVP Detector Threshold VOVP1 (V)
15.0 12.5
25 OVP Voltage 20 15 10 5 0 0 20 40 60 Time (ms) 80 100
OVP Voltage
10.0 7.5 5.0 2.5 0
0
20
40 60 Time (ms)
80
100
R1218x062A
OVP Detector Threshold VOVP1 (V)
35 30 25 20 15 10 5 0 0 20 40 60 Time (ms) 80 100 OVP Voltage
16) Efficiency dependence on inductors (4 LED)
R1218x041A (Intemal Diode Type)
VIN=3.6V 90 85
Efficiency (%)
80 75 70 65 60 55 50 0 LQH32CN220K53 LQH32CN100K53 GLF2012T220K GLF2012T100K 5 10 15 LED Current lLED (mA) 20
15
PACKAGE INFORMATION
PE-SOT-23-6-0611
*
SOT-23-6 (SC-74)
Unit: mm
PACKAGE DIMENSIONS
2.90.2 1.90.2 (0.95) (0.95) +0.2 1.1 -0.1 0.80.1 4
6
5
+0.2 1.6 -0.1
2.80.3
0 to 0.1
1
2
0.2 Min.
+0.1 0.4-0.2
+0.1 0.15 -0.05
TAPING SPECIFICATION
0.30.1 +0.1 1.5 0 4.00.1 2.00.05
1 2.0Max.
2
3 4.00.1
3.3
1.10.1
TR User Direction of Feed
TAPING REEL DIMENSIONS
(1reel=3000pcs)
REUSE REEL (EIAJ-RRM-08Bc)
11.41.0 9.00.3
210.8
0 180 -1.5
20.5
130.2
+1 60 0
3.2
8.00.3
6
5
4
3.50.05
1.750.1
PACKAGE INFORMATION
PE-SOT-23-6-0611
POWER DISSIPATION (SOT-23-6)
This specification is at mounted on board. Power Dissipation (PD) depends on conditions of mounting on board. This specification is based on the measurement at the condition below: Measurement Conditions Standard Land Pattern Environment Board Material Board Dimensions Copper Ratio Through-hole Measurement Result
(Topt=25C,Tjmax=125C)
Mounting on Board (Wind velocity=0m/s) Glass cloth epoxy plactic (Double sided) 40mm x 40mm x 1.6mm Top side : Approx. 50% , Back side : Approx. 50% 0.5mm x 44pcs
Standard Land Pattern Power Dissipation Thermal Resistance
600
Free Air 250mW 400C/W
420mW ja=(125-25C)/0.42W=263C/W
Power Dissipation PD(mW)
500 420 400 300
On Board
40
100 0 0 25 50 75 85 100 Ambient Temperature (C) 125 150
Power Dissipation
40
200
Measurement Board Pattern IC Mount Area Unit : mm
RECOMMENDED LAND PATTERN
0.7 MAX.
1.0
0.95 0.95 1.9
2.4
(Unit: mm)
PACKAGE INFORMATION
PE-PLP1820-6-0611
*
PLP1820-6
Unit: mm
PACKAGE DIMENSIONS
1.60.1
1.80
A
B
4
0.200.1
0.05 M AB 6
0.05
1.00.1
2.00
INDEX
3
0.6Max.
0.5 0.1NOM.
1
0.30.1
Bottom View
Attention: Tabs or Tab suspension leads in the parts have VDD or GND level.(They are connected to the reverse side of this IC.) Refer to PIN DISCRIPTION. Do not connect to other wires or land patterns.
0.05
TAPING SPECIFICATION
0.250.1 1.5 +0.1 0 4.00.1 2.00.05
3.50.05
1.750.1
2.4
1.10.1 2.2 1.1Max. 4.00.1
TR
User Direction of Feed
TAPING REEL DIMENSIONS
(1reel=5000pcs) (R5323K,R5325K : 1reel=3000pcs)
REUSE REEL (EIAJ-RRM-08Bc)
11.41.0 9.00.3
210.8
60 +1 0 0 180 -1.5
20.5
130.2
8.00.3
0.250.1
0.250.1
x4
PACKAGE INFORMATION
PE-PLP1820-6-0611
POWER DISSIPATION (PLP1820-6)
This specification is at mounted on board. Power Dissipation (PD) depends on conditions of mounting on board. This specification is based on the measurement at the condition below: Measurement Conditions Standard Land Pattern Environment Board Material Board Dimensions Copper Ratio Through-hole Measurement Result
(Topt=25C,Tjmax=125C)
Mounting on Board (Wind velocity=0m/s) Glass cloth epoxy plactic (Double sided) 40mm x 40mm x 1.6mm Top side : Approx. 50% , Back side : Approx. 50% 0.54mm x 30pcs
Standard Land Pattern Power Dissipation Thermal Resistance
1200
880mW ja=(125-25C)/0.88W=114C/W
Power Dissipation PD(mW)
1000 800 600 400 200 0 0
On Board 880
40
25
50 75 85 100 Ambient Temperature (C)
125
150
Power Dissipation
40
Measurement Board Pattern IC Mount Area Unit : mm
RECOMMENDED LAND PATTERN
0.5 0.5
0.75 0.45
1.00
1.60
0.35
0.25
(Unit: mm)
MARK INFORMATION
ME-R1218N-0610
R1218N SERIES MARK SPECIFICATION * SOT-23-6 (SC-74)
1 3
1 2 3 4
, ,
2 4
: Product Code (refer to Part Number vs. Product Code) : Lot Number
*
Part Number vs. Product Code
Product Code
1 2
Part Number R1218N021A R1218N031A R1218N041A R1218N022A R1218N032A R1218N042A R1218N052A R1218N062A
2 2 2 2 2 2 2 2
A B C D E F G H
MARK INFORMATION
ME-R1218K-0610
R1218K SERIES MARK SPECIFICATION * PLP1820-6
1 5
1 2 3
to ,
6
4
: Product Code (refer to Part Number vs. Product Code) : Lot Number
4
5
6
*
Part Number vs. Product Code
Product Code
1 2 3 4
Part Number R1218K021A R1218K031A R1218K041A R1218K022A R1218K032A R1218K042A R1218K052A R1218K062A
Y Y Y Y Y Y Y Y
0 0 0 0 0 0 0 0
0 0 0 0 0 0 0 0
1 2 3 4 5 6 7 8

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