But I'm afraid that http://forums.techguy.org/windows-xp/406960-stop-0x0000001e-kmode-exception-not-4.html is more applicable: "The bottom line here is, if this is not a hardware problem such as faulty ram, a misbehaving motherboard, or perhaps even a bad video card, then there is some corruption of a core system file which only a reinstall will fix in my opinion."
Checking the RAM is easy (for example: www.memtest86.com). If that turns up no errors, you must take a guess about what to do first:
- replace the videocard
- replace the motherboard
- clean install of the OS
The easy case would be a RAM error. So you may be lucky.