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  preliminary rev. 0.1 12/11 copyright ? 2011 by silicon laboratories SI52146 this information applies to a product under dev elopment. its characteristics and specifications are s ubject to change without n otice. SI52146 pci-e xpress g en 1, g en 2, & g en 3 s ix o utput c lock g enerator features applications description the SI52146 is a spread-controlled pc ie clock generator that can source six pcie clocks simultaneously. the device has six hardware inputs for enabling the respective outputs on the fly while powered on along with the spread control hardware pin to enable spread for emi reduction. functional block diagram ? pci-express gen 1, gen 2, & gen 3 compliant ? low power push-pull type differential output buffers ? integrated resistors on differential clocks ? dedicated output enable pin for each clock ? hardware select able spread control ? six pci-express clocks ? 25 mhz crystal input or clock input ? i 2 c support with readback capabilities ? triangular spread spectrum profile for maximum electromagnetic interference (emi) reduction ? industrial temperature: ?40 to 85 o c ? 3.3 v power supply ? 32-pin qfn package ? network attached storage ? multi-function printer ? wireless access point ? routers control ram control & memory xin/clkin xout sclk sdata oe [5:0] ckpwrgd/pdb sson diff3 diff5 pll1 (ssc) divider diff4 diff0 diff2 diff1 patents pending ordering information: see page 18 pin assignments 9 10 11 12 13 14 15 16 vdd oe2 1 sson 2 oe3 1 oe5 1 oe4 1 xin xout vdd 1 2 3 4 5 6 30 29 28 27 26 25 24 23 22 21 20 19 diff0 diff0 diff1 diff1 vdd diff2 ckpwrgd_pdb 1 sdata sclk vdd diff5 diff5 vdd diff4 diff4 vdd nc 7 8 diff2 vdd 18 17 diff3 diff3 oe1 1 oe0 1 32 31 notes: 1. internal 100 kohm pull-up. 2. internal 100 kohm pull-down. 33 gnd
SI52146 2 preliminary rev. 0.1
SI52146 preliminary rev. 0.1 3 t able of c ontents section page 1. electrical specificat ions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .4 2. functional description . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7 2.1. crystal recommendatio ns . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7 2.2. ckpwrgd_pdb (power dow n) clarification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8 2.3. pdb (power down) a ssertion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8 2.4. pdb deassertion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8 2.5. oe clarification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8 2.6. oe assertion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8 2.7. oe deassertion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.8. sson clarification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .8 3. test and measurement setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .9 4. control registers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 4.1. serial data interface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .11 4.2. data protocol . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 5. pin descriptions: 32-pin qfn . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 6. ordering guide . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 7. package outline . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 contact information . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .20
SI52146 4 preliminary rev. 0.1 1. electrical specifications table 1. dc electrical specifications parameter symbol test condition min typ max unit 3.3 v operating voltage vdd core 3.3 5% 3.135 3.3 3.465 v 3.3 v input high voltage v ih control input pins 2.0 ? v dd + 0.3 v 3.3 v input low voltage v il control input pins v ss ? 0.3 ? 0.8 v input high voltage v ihi2c sdata, sclk 2.2 ? ? v input low voltage v ili2c sdata, sclk ? ? 1.0 v input high leakage current i ih except internal pull-down resistors, 0 < v in < v dd ?? 5 ? a input low leakage current i il except internal pull-up resistors, 0 < v in < v dd ?5 ? ? ? a 3.3 v output high voltage (se) v oh i oh = ?1 ma 2.4 ? ? v 3.3 v output low voltage (se) v ol i ol = 1 ma ? ? 0.4 v high-impedance output current i oz ?10 ? 10 ? a input pin capacitance c in 1.5 ? 5 pf output pin capacitance c out ?? 6pf pin inductance l in ?? 7nh power down current i dd _ pd ?? 1ma dynamic supply current i dd_3.3v all outputs enabled. differ- ential clocks with 5? traces and 2 pf load. ??60ma
SI52146 preliminary rev. 0.1 5 table 2. ac electrical specifications parameter symbol condition min typ max unit crystal long-term accuracy l acc measured at v dd /2 differential ? ? 250 ppm clock input clkin duty cycle t dc measured at v dd /2 47 ? 53 % clkin rise and fall times t r /t f measured between 0.2 v dd and 0.8 v dd 0.5 ? 4.0 v/ns clkin cycle to cycle jitter t ccj measured at vdd/2 ? ? 250 ps clkin long term jitter t ltj measured at vdd/2 ? ? 350 ps input high voltage v ih xin/clkin pin 2 ? vdd+0.3 v input low voltage v il xin/clkin pin ? ? 0.8 v input high current i ih xin/clkin pin, vin = vdd ? ? 35 ua input low current i il xin/clkin pin, 0 < vin <0.8 ?35 ? ? ua diff at 0.7 v diff duty cycle t dc measured at 0 v differential 45 ? 55 % any diff clock skew from the earliest bank to the latest bank t skew(win dow) measured at 0 v differential ? ? 50 ps diff cycle to cycle jitter t ccj measured at 0 v differential ? 35 50 ps output pcie gen1 refclk phase jitter rms gen1 includes pll bw 1.5?22 mhz, = 0.54, td=10 ns, ftrk=1.5 mhz with ber = 1e-12 040 108ps output pcie gen2 refclk phase jitter rms gen2 includes pll bw 8?16 mhz, jitter peaking = 3 db, = 0.54, td=12 ns), low band, f < 1.5 mhz 02 3.0ps output pcie gen2 refclk phase jitter rms gen2 includes pll bw 8?16 mhz, jitter peaking = 3 db, = 0.54, td=12 ns), high band, 1.5 mhz < f < nyquist 02 3.1ps output phase jitter impact? pcie gen3 rms gen3 includes pll bw 2?4 mhz, cdr = 10 mhz) 00.5 1.0ps diff long term accuracy l acc measured at 0 v differential ? ? 100 ppm diff rising/falling slew rate t r /t f measured differentially from 150 mv 1? 8v/ns voltage high v high ?? 1.15v voltage low v low ?0.3 ? ? v crossing point voltage at 0.7 v swing v ox 300 ? 550 mv enable/disable and setup clock stabilization from power-up t stable ?? 1.8ms stopclock set-up time t ss 10.0 ? ? ns
SI52146 6 preliminary rev. 0.1 table 3. absolute maximum conditions parameter symbol condition min typ max unit main supply voltage v dd_3.3v functional ? ? 4.6 v input voltage v in relative to v ss ?0.5 ? 4.6 v dc temperature, storage t s non-functional ?65 ? 150 c temperature, operating ambient t a functional ?40 ? 85 c temperature, junction t j functional ? ? 150 c dissipation, junction to case ? jc jedec (jesd 51) ? ? 17 c/w dissipation, junction to ambient ? ja jedec (jesd 51) ? ? 35 c/w esd protection (human body model) esd hbm jedec (jesd 22-a114) 2000 ? ? v flammability rating ul-94 ul (class) v?0 moisture sensitivity le vel msl jedec (j-std-020) 2 note: while using multiple power supplies, the voltage on any input or i/o pin cannot exceed the power pin during power-up. power supply sequencing is not required .
SI52146 preliminary rev. 0.1 7 2. functional description 2.1. crystal recommendations the clock device requires a parallel resonance crystal. substituting a series resonance crystal causes the clock device to operate at the wrong freque ncy and violates the ppm specification. for most applications there is a 300 ppm frequency shift between series and parallel crystals due to incorrect loading. 2.1.1. crystal loading crystal loading plays a critical role in achieving low ppm performance. to realize low ppm performance, use the total capacitance the crystal sees to calcul ate the appropriate capacitive loading (cl). figure 1 shows a typical crystal configuration using the two tr im capacitors. it is import ant that the trim capacitors are in series with the crystal. it is not true that load capacitors are in parallel with the crystal and are approximately equal to the load capacitance of the crystal. figure 1. crystal capacitive clarification 2.1.2. calculating load capacitors in addition to the standard external trim capacitors, consider the trace capacitance and pin capacitance to calculate the crystal loading correctly. again, the capacitance on each side is in series with the crystal. the total capacitance on both side is twice the specified cr ystal load capacitance (cl). trim capacitors are calculated to provide equal capacitive loading on both sides. figure 2. crystal loading example table 4. crystal recommendations frequency (fund) cut loading load cap shunt cap (max) motional (max) tolerance (max) stability (max) aging (max) 25 mhz at parallel 12?15 pf 5 pf 0.016 pf 35 ppm 30 ppm 5 ppm
SI52146 8 preliminary rev. 0.1 use the following formulas to calculate the trim capacitor values for ce1 and ce2. ?? cl: crystal load capacitance ?? cle: actual loading seen by crystal using standard value trim capacitors ?? ce: external trim capacitors ?? cs: stray capacitance (terraced) ?? ci : internal capacitance (lead frame, bond wires, etc.) 2.2. ckpwrgd_pdb (pow er down) clarification the ckpwrgd_pdb pin is a dual-function pin. during init ial power up, the pin functions as ckpwrgd. upon the first powerup if the ckpwrgd is low, the device ou tputs will be disabled, but th e crystal oscillator and i 2 c logics are active. once ckpwrgd has been sampled high by the clock chip, the pin assumes a pdb functionality. when the pin has assumed a pdb functionality and the pin is pull low, the device will be placed in standby mode. 2.3. pdb (power down) assertion the pdb pin is an asynchronous active lo w input used to disable all clocks in a glitch free ma nner. all outputs will be driven low in power down m ode. in power down mode, all outputs, the crystal oscillator and the i 2 c logic are disabled. 2.4. pdb deassertion when a valid rising edge on ckpwrgd/pdb pin is applied, all outputs are enabled in a glitch free manner within two to six output clock cycle. 2.5. oe clarification the oe pins are active high inputs used to enable and disa ble the output clocks. to enable the output clock, the oe pin needs to be logic high and the i 2 c output enable bit needs to be logic high. there are two methods to disable the output clocks: the oe is pulled to a logic low, or the i 2 c enable bit is set to a logic low. the oe pins is required to be driven at all time and even though it has an internally 100 k ? resistor. 2.6. oe assertion the oe signals are active high input used for synchronous stopping and starting the diff output clocks respectively while the rest of the clock generator c ontinues to function. the assertion of the oe signal by making it logic high causes stopped respective diff output to resume normal ope ration. no short or stretched clock pulses are produced when the clock resumes. the maximum latency from the assertion to acti ve outputs is no more than two to six output clock cycles. 2.7. oe deassertion when the oe pin is deasserted by making its logic low, the corresponding diff output is stopped cleanly, and the final output state is driven low. 2.8. sson clarification sson is an active input used to enable ?0.5% spread on all diff outputs. when sampled high, ?0.5% spread is enabled on all diff outputs. when sampled low, the diff output frequencies are non-spread. load capacitance (each side) total capacitance (as seen by the crystal) ce = 2 x cl ? (cs + ci) ce1 + cs1 + ci1 1 + ce2 + cs2 + ci2 1 () 1 = cle
SI52146 preliminary rev. 0.1 9 3. test and measurement setup this diagram shows the test load configuration for the differential clock signals. figure 3. 0.7 v differential load configuration figure 4. differential output signals (for ac parameters measurement) measurement point 2pf 50 ? measurement point 2pf 50 ? l1 l1 = 5" out+ out- l1
SI52146 10 preliminary rev. 0.1 figure 5. single-ended measurement for differential output signals (for ac parameters measurement) v min = ?0.30v v min = ?0.30v
SI52146 preliminary rev. 0.1 11 4. control registers 4.1. serial data interface to enhance the flexibility and function of the clock synthe sizer, a two-signal serial interface is provided. through the serial data interface, various devi ce functions, such as individual clo ck output buffers are individually enabled or disabled. the registers associated with the serial data interface initializ e to their default setting at power-up. the use of this interface is optional. clock device register changes are normally made at system initialization, if any are required. the interface can not be used during system operation for power mana gement functions. 4.2. data protocol the clock driver serial protocol accepts byte write, by te read, block write, and block read operations from the controller. for block write/read operation, access the by tes in sequential order from lowest to highest (most significant bit first) with the ability to stop after any comp lete byte is transferred. for byte write and byte read operations, the system controller can acce ss individually indexed bytes. the of fset of the indexed byte is encoded in the command code described in table 1 on page 4. the block write and block read protocol is outlined in table 5 while table 6 outlines byte write and byte read protocol. the slave receiver address is 11010110 (d6h). table 5. block read and block write protocol block write protocol block read protocol bit description bit description 1 start 1 start 8:2 slave address?7 bits 8:2 slave address?7 bits 9write 9write 10 acknowledge from slave 10 acknowledge from slave 18:11 command code?8 bits 18:11 command code?8 bits 19 acknowledge from slave 19 acknowledge from slave 27:20 byte count?8 bits 20 repeat start 28 acknowledge from slave 27:21 slave address?7 bits 36:29 data byte 1?8 bits 28 read = 1 37 acknowledge from slave 29 acknowledge from slave 45:38 data byte 2?8 bits 37:30 byte count from slave?8 bits 46 acknowledge from slave 38 acknowledge .... data byte/slave acknowledges 46:39 data byte 1 from slave?8 bits .... data byte n?8 bits 47 acknowledge .... acknowledge from slave 55:48 data byte 2 from slave?8 bits .... stop 56 acknowledge .... data bytes from slave/acknowledge .... data byte n from slave?8 bits .... not acknowledge .... stop
SI52146 12 preliminary rev. 0.1 table 6. byte read and byte write protocol byte write protocol byte read protocol bit description bit description 1start 1start 8:2 slave address?7 bits 8:2 slave address?7 bits 9write 9write 10 acknowledge from slave 10 acknowledge from slave 18:11 command code?8 bits 18:11 command code?8 bits 19 acknowledge from slave 19 acknowledge from slave 27:20 data byte?8 bits 20 repeated start 28 acknowledge from slave 27:21 slave address?7 bits 29 stop 28 read 29 acknowledge from slave 37:30 data from slave?8 bits 38 not acknowledge 39 stop
SI52146 preliminary rev. 0.1 13 reset settings = 00000000 reset settings = 00010101 control register 0. byte 0 bitd7d6d5d4d3d2d1d0 name type r/w r/w r/w r/w r/w r/w r/w r/w bit name function 7:0 reserved control register 1. byte 1 bitd7d6d5d4d3d2d1d0 name diff0_oe diff1_oe diff2_oe type r/w r/w r/w r/w r/w r/w r/w r/w bit name function 7:5 reserved 4 diff0_oe output enable for diff0. 0: output disabled. 1: output enabled. 3 reserved 2 diff1_oe output enable for diff1. 0: output disabled. 1: output enabled. 1 reserved 0 diff2_oe output enable for diff2. 0: output disabled. 1: output enabled.
SI52146 14 preliminary rev. 0.1 reset settings = 11100000 reset settings = 00001000 control register 2. byte 2 bitd7d6d5d4d3d2d1d0 name diff3_oe diff4_oe diff5_oe type r/w r/w r/w r/w r/w r/w r/w r/w bit name function 7 diff3_oe output enable for diff3. 0: output disabled. 1: output enabled. 6 diff4_oe output enable for diff4. 0: output disabled. 1: output enabled. 5 diff5_oe output enable for diff5. 0: output disabled. 1: output enabled. 4:0 reserved control register 3. byte 3 bitd7d6d5d4d3d2d1d0 name rev code[3:0] vendor id[3:0] type r/w r/w r/w r/w r/w r/w r/w r/w bit name function 7:4 rev code[3:0] program revision code. 3:0 vendor id[3:0] vendor identification code.
SI52146 preliminary rev. 0.1 15 reset settings = 00000110 reset settings = 11011000 control register 4. byte 4 bitd7d6d5d4d3d2d1d0 name bc[7:0] type r/w r/w r/w r/w r/w r/w r/w r/w bit name function 7:0 bc[7:0] byte count register. control register 5. byte 5 bit d7 d6 d5 d4 d3d2d1d0 name diff_amp_sel diff_amp_cntl[2] dif f_amp_cntl[1] dif f_amp_cntl[0] type r/w r/w r/w r/w r/w r/w r/w r/w bit name function 7 diff_amp_sel amplitude control for diff differential outputs. 0: differential outputs with default amplitude. 1: differential outputs amplitude is set by byte 5[6:4]. 6 diff_amp_cntl[2] diff differential outputs amplitude adjustment. 000: 300 mv 001: 400 mv 010: 500 mv 011: 600 mv 100: 700 mv 101: 800 mv 110: 900 mv 111: 1000 mv 5 diff_amp_cntl[1] 4 diff_amp_cntl[0] 3:0 reserved
SI52146 16 preliminary rev. 0.1 5. pin descriptions: 32-pin qfn table 7. SI52146 32-pin qfn descriptions pin # name type description 1vdd pwr 3.3 v power supply 2oe2 i,pu 3.3 v input to disable diff2 (internal 100 k ? pull-up). refer to table 1 on page 4 for oe specifications. 3 sson i, pd 3.3 v-tolerant input for enabli ng ?0.5% spread on diff clocks (internal 100 k ? pull-down) 4oe3 i,pu 3.3 v input to disable diff3 (internal 100 k ? pull-up). refer to table 1 on page 4 for oe specifications. 5oe4 i,pu 3.3 v input to disable diff4 (internal 100 k ? pull-up). refer to table 1 on page 4 for oe specifications. 6oe5 i,pu 3.3 v input to disable diff5 (internal 100 k ? pull-up). refer to table 1 on page 4 for oe specifications. 7nc nc no connect 8vdd pwr 3.3 v power supply 9 diff0 o, dif 0.7 v, 100 mhz differential clock 10 diff0 o, dif 0.7 v, 100 mhz differential clock 11 diff1 o, dif 0.7 v, 100 mhz differential clock 9 10 11 12 13 14 15 16 vdd oe2 1 sson 2 oe3 1 oe5 1 oe4 1 xin xout vdd 1 2 3 4 5 6 30 29 28 27 26 25 24 23 22 21 20 19 diff0 diff0 diff1 diff1 vdd diff2 ckpwrgd_pdb 1 sdata sclk vdd diff5 diff5 vdd diff4 diff4 vdd nc 7 8 diff2 vdd 18 17 diff3 diff3 oe1 1 oe0 1 32 31 notes: 1. internal 100 kohm pull-up. 2. internal 100 kohm pull-down. 33 gnd
SI52146 preliminary rev. 0.1 17 12 diff1 o, dif 0.7 v, 100 mhz differential clock 13 vdd pwr 3.3 v power supply 14 diff2 o, dif 0.7 v, 100 mhz differential clock 15 diff2 o, dif 0.7 v, 100 mhz differential clock 16 vdd pwr 3.3 v power supply 17 diff3 o, dif 0.7 v, 100 mhz differential clock 18 diff3 o, dif 0.7 v, 100 mhz differential clock 19 diff4 o, dif 0.7 v, 100 mhz differential clock 20 diff4 o, dif 0.7 v, 100 mhz differential clock 21 vdd pwr 3.3 v power supply 22 diff5 o, dif 0.7 v, 100 mhz differential clock 23 diff5 o, dif 0.7 v, 100 mhz differential clock 24 vdd pwr 3.3 v power supply 25 sclk i smbus compatible sclock 26 sdata i/o smbus compatible sdata 27 ckpwrgd_pdb i, pu 3.3 v cmos input. a real-time acti ve low input for asserting power down (pdb) and disabling all outputs (internal 100 k ? pull-up). 28 vdd pwr 3.3 v power supply 29 xout o 25.00 mhz crystal output, float xout if using only clkin (clock input) 30 xin/clkin i 25.00 mhz crystal input or 3.3 v, 25 mhz clock input 31 oe0 i,pu 3.3 v input to disable diff0 (internal 100 k ? pull-up). refer to table 1 on page 4 for oe specifications. 32 oe1 i,pu 3.3 v input to disable diff1 (internal 100 k ? pull-up). refer to table 1 on page 4 for oe specifications. 33 gnd gnd ground for bottom pad of the ic. table 7. SI52146 32-pin qfn descriptions pin # name type description
SI52146 18 preliminary rev. 0.1 6. ordering guide part number package type temperature lead-free SI52146-a01agm 32-pin qfn industrial, ?40 to 85 ? c SI52146-a01agmr 32-pin qfn?tape and reel industrial, ?40 to 85 ? c
SI52146 preliminary rev. 0.1 19 7. package outline figure 6 illustrates the package details fo r the SI52146. table 8 lists the valu es for the dimensions shown in the illustration. figure 6. 32-pin quad flat no lead (qfn) package table 8. package diagram dimensions symbol millimeters min nom max a 0.70 0.75 0.80 a1 0.00 0.02 0.05 a3 0.175 0.20 0.225 b 0.20 0.25 0.30 d 4.90 5.00 5.10 d2 3.15 3.20 3.25 e 0.50 bsc e 4.90 5.00 5.10 e2 3.15 3.20 3.25 l 0.30 0.40 0.50 notes: 1. all dimensions shown are in millimeters (mm) unless otherwise noted. 2. dimensioning and tolerancing per ansi y14.5m-1994. 3. recommended card reflow profile is per the jedec/ipc j-std-020 specification for small body components. 4. coplanarity less than 0.08 mm. 5. terminal #1 identifier and terminal numbering convention conform to jesd 95-1 spp-012.
SI52146 20 preliminary rev. 0.1 c ontact i nformation silicon laboratories inc. 400 west cesar chavez austin, tx 78701 tel: 1+(512) 416-8500 fax: 1+(512) 416-9669 toll free: 1+(877) 444-3032 please visit the silicon labs technical support web page: https://www.silabs.com/support/pages/contacttechnicalsupport.aspx and register to submit a technical support request. silicon laboratories and silicon labs are trademarks of silicon laboratories inc. other products or brandnames mentioned herein are trademarks or registered trademarks of their respective holders. the information in this document is believed to be accurate in all respects at the time of publication but is subject to change without notice. silicon laboratories assumes no responsibility for errors and omissions, and disclaims responsib ility for any consequences resu lting from the use of information included herein. a dditionally, silicon laboratorie s assumes no responsibility for the functioning of und escribed features or parameters. silicon laboratories reserves the right to make changes without further notice . silicon laboratories makes no wa rranty, rep- resentation or guarantee regarding the suitability of its products for any particular purpose, nor does silicon laboratories as sume any liability arising out of the application or use of any product or circuit, and s pecifically disclaims any an d all liability, including wi thout limitation conse- quential or incidental damages. silicon laborat ories products are not designed, intended, or authorized for use in applications intended to support or sustain life, or for any other application in which the failure of the silicon laboratories product could create a s ituation where per- sonal injury or death may occur. should buyer purchase or us e silicon laboratories products for any such unintended or unauthor ized ap- plication, buyer shall indemnify and hold silicon laboratories harmless against all claims and damages.


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