I think we have determined the alternator is not charging.... and that the big battery cables are good... BUT this is NOT everything you need to get output.
The red battery light on the dash MUST turn on with they key on, engine off. If it does not, you will have no alternator output. The indicator lamp is actually part of the circuit. The regulator must also have +12v input on one of the small wires.
This schematic is for a 93, but I believe it is correct...
First check the light with the key on, engine off. If it is off, then unplug the wiring connector from the regulator and check for battery voltage between the y/w wire from the distribution box and battery - with the key on. If there is voltage there, then (with the connector still disconnected) verify the battery light is off. Short the lg/r wire from the indicator to the battery - with a piece of wire. The light should be on. If you do not get the intended results, check the fuses especially on the +12 feed to the regulator. They sometimes blow when the alternator goes bad.
If this all checks out, then you probably have a bad voltage regulator... I wouldn't be surprised, the made in china ones on rebuilds have about a 5% chance of working.
EDIT (to comment on some more things from this thread): I see no reason to be pulling the battery cables while it is running. You can tell very easily if the alternator is charging via the battery voltage. The battery acts to smooth out any inconsistencies in the rectified AC output a working alternator produces, so disconnecting it exposes the vehicle's electronics to dirty power. There is also the chance of sparking from the cables, and we all know what happens with sparks and batteries....
when i do the KOEO computer check it gives me 513 code.... replace processor internal voltage failure... so i guess i should replace the processor huh?
Nope... the ECM is expecting the 14+v of a properly working charging system when the engine is running running, not the battery voltage of a battery that is probably half dead to begin with. That code should go away when you fix the alternator. Nothing you can get from codes is going to help you fix this, so don't bother pulling them.