>>Almost certainly bad hardware of some kind. From what you describe, my first guess would be bad RAM - check with the MemTest86+ download I recommended the other day.
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>When running that test, are we suppose to get 0 error, assuming that all would be ok with the memory? Or, is it normal I have 18432 errors and counting, as the test is only at 32% right now. I figure out it would take about 30 minutes to do the entire test. Is this about how it ran for you?

Normal is 0 errors. You have bad RAM.

When I ran the test with my formerly bad RAM, it came up with about 200 errors (IIRC) in the first few seconds. I knew if it was failing that fast, I definitely had a bad stick. Sounds like yours is even worse.

I have seen some intermittent RAM failures that required running that utility overnight for errors to show up.

Hopefully the errors are limited to one of the 4 sticks you currently have in the computer, and the error messages should point out which stick it is. You can remove that stick, and its partner and run with only 4GB until you get replacement RAM. Be sure to test again if you do this.

There is one other slight possibility - incorrect RAM settings in the BIOS - either on purpose, or by mistake.

Some unscrupulous system builders will overclock RAM to squeeze a little extra performance, or to save a little money by using slower, cheaper parts. Or, if they don't know what they're doing they may have set the speed of the RAM beyond its specifications.

If you bought your system or components from a reputable and competent dealer this is not likely the problem. But if you suspect this may be the case, in most system BIOSs there is a command to "Load safe defaults" or words to that effect - load a conservative configuration that should be reliable. You may try that. If you do so, be sure to record your existing settings on all screens. Since you can't do print screens or captures in the BIOS, one way is to use a digital camera.