Well I have tried home basic and I now run Vista Ultimate.
There are diffrences in appearance and game play.
Home basic is that basic ,you mite as well run XP if your choice is basic..
Her have a read of what are the diffrences.
Windows Vista: Home Page
Vista 64 bit would reconise more RAM/Memory if you decide to put more in.32 bit only reconises 3.25 RAM/Memory.
Quad core is better if your a gamer.How to explain dual and quad is pritty simple I would say 1 core would be running a game,2nd core lets say IE and 3rd core for WMP.Ohters can discribe the dual and quads in a more technical terms if you wish?
Smoother operation.
Although check out Tesco but do not go for Medion they are rubbish.
The question is why would anyone run Vista Home Basic on a quad core machine?