The LPC doesnt get power unless the d0 gets grounded, which is what happens when the chip is ON.
you might wana try grounding the d0 (solder it to the case or a metal screwhole) and try to turn it on, if it DOESNT frag then the d0 solder is bad.
If you dont wana do that try a multimter diagnostic
For a 'live' diagnostic:
To perform these diagnostics, leave your hdd in the xbox case and take the dvd drive out (still connected) and turn it 90 - 180 degrees around and prop it up behind your xbox case ( ouside the case)
The chip should now be visible, turn your xbox on, and while powered on make your measurements using the following guidelines:
We're measuring volts here, so adjust your meter to that setting on a small scale ~10 or 20 volts. Make sure your meter is on DC (direct current) and in the ~20 v range, or it wont register correctly.
probe to the metal on the case (gnd = 0v) and the other probe to the pin you want to check. Read the meter while both probes are in *good* contact. Dont freak if it reads negative, that just means you placed wrong probe on ground, if it's the right amount you're fine.
For 'cold' diagnostics:
for these, you can unhook your xbox and all the drive etc to get at the motherboard, because we dont need power.
Here we'd be measuring resistance (ohms). There are 2 types of diagnostics here, I'd only recomend one at this point unless you think your LPC flawed (bad resistor or MB component, not too likely they're hard to break).
The diagnostic I recomend is a conductivity check. Your multi-meter essentially charges one probe of the multimeter and checks for voltage on the other probe to measure resistance.
I'd check your D0 point first if you're going to do this diagnostic. Put one probe on the bottom D0 point, and one probe on the D0 poing on the Duo chip. If you read more than about 1 ohm of resistance, you're solder is bad. Likely you're going to see about .5 ohms or your meter wont pick up a damn thing because there's no conductivity. If it reads less than an ohm your solder is fine.
I'm not going to bother with telling you the LPC diagnostic cause I dont think your MB would work at all if you screwed it up so bad that you broke the LPC, trust me I've abused a board before.
Hope that helps
