Computer won't boot - please help

It would make sense that my power supply is broken, since it can't even power on by that method, so I swapped in a working power supply, to no avail. Perhaps both my power supply and motherboard were broken, since it is quite an old system. I decided to just get a new computer, but now I'm lost as to how to get the data off my hard drives, since I have 2 physical disks in a RAID 0 arrangement, which I don't think I can just hook up to another computer and access. Am I correct?
 
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