I posted a related question about my situation on SU. Here is the link
I am trying to upgrade my 32 bit Home Basic Win 7 edition to 64 bit since I added some more RAM. And it is looking like I can not download any 64 bit sources from Microsoft's Digital River service. They are only offering Windows 8 download sources these days.
I would like to know if I can not upgrade my 32 bit installation to 64 bit, instead of purchasing a Win 7 64 bit disc from the market, I would rather purchase a 64 bit Win 8 disc.
But will Skyrim run on Windows 8 without any problems?