I have 2003 chevy silverado that ideles rough i

Sounds like a vacuum leak. Spray carb/throttle body cleaner at all fuel and air intake areas ie; intake manifold to heads, throttle body to intake, all vacuum hoses, etc. Work the throttle to keep it running or have someone inside doing it. You will know if the carb cleaner gets sucked in somewhere. That will be the location of your vacuum leak.

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Is this correct, you have a silverado 1500 2004 that runs rough and black smoke out of exhaust, the check engine light on and how long has engine light been on?

have you checked your pulley,s and belt,s

in my 03 1500hd had real rough idel clean the throttle body my truck idels perfectly now dosent take 30min and throttle body cleaners 8$ at autozone theres how to videos on youtube thats what i did

Battery was completely dead ? after how long , over night , or just out of the blue ? These year GM vehicle's 03 to 06 have instrument cluster problems , draining the battery . Do you know what parasitic draw is ? Google it . They used lead free solder constructing the electronics , an after a while it causes silver migration .
Chevrolet Truck Battery Dies Overnight Part
Chevrolet Truck Battery Dies Overnight Part II

if the battery is dead, It will make that sound even if you have power to the dash board and radio.try to jump the car and if it run then its your battery and if not then check your starter. Good luck bro

if nothing was wrong other than a low battery or dead battery you will need to drive the car to get the sensors to relearn. Your complaint is very common after a battery issue.

DTC Number
P0160 DTC Name O2 Sensor Circuit No Activity Detected Bank 2 Sensor DTC Number P0300 DTC Name Random/Multiple Cylinder Misfire Detected

A bad ground or wire somewhere is pulling current from your battery when it's not running. Use a test light, try to find a circuit that is hot when it shouldn't be. It will take some time and patience.

This is a tough question but it sounds like you understand .
You posted it in 2009
I have a 96 s-10 blazer and know of the electrical problems ware one thing is related to another thing that no one would thing had any kind of relationship with the other but they do.
You have a vehicle in the years that they build junk no telling Chevy did