Computer randomly restarts - driving me crazy - files provided to help

[livejamie]

My computer is an Athlon 64 x2 Dual Core machine running Windows 7 32bit (Was having some problems with some programs when running the 64 bit version) with a GeForce 9800 GT.

All my drivers are current, and other than this - everything seems fine.

It won't bluescreen, it just turns off - it's random. I can be just word processing, or watching a video, it doesn't seem to do it during anything specific. Sometimes it will go days without the problem, sometimes it happens twice in a few hours.

I've even enabled the bluescreen option, but it doesn't seem to matter.

Upon reboot it then gives me this message:

--

    Problem signature:
    Problem Event Name:	BlueScreen
    OS Version:	6.1.7600.2.0.0.256.1
    Locale ID:	1033

    Additional information about the problem:
    BCCode:	124
    BCP1:	00000000
    BCP2:	86975024
    BCP3:	00000000
    BCP4:	00000000
    OS Version:	6_1_7600
    Service Pack:	0_0
    Product:	256_1

    Files that help describe the problem:
    C:\Windows\Minidump\112910-25630-01.dmp
    C:\Users\Jamie\AppData\Local\Temp\WER-34023-0.sysdata.xml

--

I've uploaded the files it mentions along with a DxDiag.txt here.

I'm not really familiar with advanced computer hardware at all. I can install a video card, or replace RAM, etc. But I don't know how to diagnose this. It'd be nice if somebody can help me narrow down the problem. I don't want to have to result to taking it to the Geek Squad or something.

Thanks so much for your time!

 

[wish]

Follow this instruction to collect data.
Blue Screen of Death (BSOD) Posting Instructions

By looking at bugcheck code 0x124 = related to hardware problem.
Then try this troubleshooting steps → http://www.sevenforums.com/crash-lockup-debug-how/35349-stop-0x124-what-means-what-try.html