6 Beeps in your Studio XPS 8100
computer indicates Video Card
The Motherboard is unable to detect the Video Card
properly or not at all.
Try removing and re-seating the Video Card by following the instructions in the link which opens up the Service Manual of the computer:http://support.dell.com/support/edocs/systems/studio8100/en/index.htm
If the computer still behaves the same way after removing and reseating the Video Card, you may have to get the Video Card replaced...check with Dell about the Warranty and if the computer is still covered under warranty, get the Video Card replaced.
However, if the computer is out of warranty, you can replace the Video Card in the computer with any one of these as per your choice:
ATI Radeon HD 5770
NVIDIA GeForce GTX 260
NVIDIA GeForce GTS 240
NVIDIA GeForce GT 220