From what I understand you have XP on one computer and you want to put it on the other computer. Well, legally I don't think you can do that. My gf's parents had MS Office and they bought a new comp so they wanted to move it over but MS said they couldn't register it then. :dunno: fawkin ghey.
Anyway, to install your version of XP on the new computer you will just need teh CD key that probably came printed onto the cover of the XP manual.