Normally when you get beeps it could be an indication of a hardware malfunction, it could be a memory chip has gone south or even a keyboard failure, it can vary with manufacturer(s). The first thing I'd try would be trying memory chip removal, depending of course of how many chips you are running, removing and replacing one at a time. Of course do not do the removal replacement(s) with the system running under power. I mentioned keyboard because sometime back I ran into a Dell desktop with a beeping issue and it turned out to be a bad keyboard, which is very rare and took me totally by surprise.
I was playing a few games on my XPS 625 and when I went to start up MSN I noticed my computer had the symbol where my shutdown button usually is that said it needed to shut down for updates, needing to go to the store I clicked it and headed to the store.
When I came back my computer was off, as expected, but when I turn it on my screens do not unhybernate and my mouse doesn't light up, my computer runs for about 10-20 seconds and then it starts beeping 6 times in quick succession and then it stays quiet for about a second and then repeats, I took out the CMOS battery for about a minute or two and put it back in, as well as taking out many of the parts and air-canning out as much dust as I could and it continues to beep when I start it up, any ideas how I may fix this?