Ok, I got it to work again. Let me start off by thanking everyone for their response.
I am not sure what happened, but after I replaced the motherboard battery (yes, with a brand new battery), I wasn't able to boot the computer, and I wasn't receiving any error messages on my computer screen, just a blank black screen. I tried going through a bunch of suggestions to include: disconnecting the hard drive and then powering up, pulling the RAM and putting it back in, all of the suggestions, and to respond to the post asking if I am sure about the beeps only being two rapid beeps in succession, yes that is what it was. I know that there is SUPPOSED to be three sets of beeps, but there was one set, of two rapid beeps (as in: beep beep...... nothing).
Oh, and let me clarify the monitor, I was using a plasma screen TV as my monitor because this tower was being used as a server.
Well, when I hooked it up to an actual computer monitor at my friends house, there was actually an error code, and some where along the line of me removing the battery from the motherboard, and then replacing the battery on the motherboard, my computer now wants to boot from a floppy disk drive, which of course there isn't one, so it gets hung up there, and I just choose the skip option and continue on with what I am doing. Luckily for me, I don't normally restart this computer, so if that is what I have to live with, I can deal with having to hit the F1 key to move on to the rest of the start up.