Computer Build Question

Ok guys this is bit random but then again this is the OT Lounge so I'm hoping for some answers.

Simple really. Currently I've built a computer with the below specs:

Motherboard: ASUS M2N-VM DH SKT AM2 8 Channel Audio mATX http://www.ciao.co.uk/ASUS_M2N_VM_DH__6543557#productdetail
CPU: AMD Athlon 64 4600+ X2 Socket AM2 Dual-Core OEM http://www.ebuyer.com/product/119733

ok you don't need to know the other specs because they don't matter with the question I've got. Ok the above system was run as a 64 bit system with Vista 64 Ultimate edition.

Now I'm building a new system (for the living room) and I'd like to take both the motherboard and CPU to the new system but I do not want to run it as a 64 bit instead I want to run it as a 32 bit version. Now my question is could I take both the Motherboard and CPU to the new system and just install the 32 bit version of Vista with no problems? or is the processor or motherboard some how "ONLY" 64 bit compatible?

So basically can the above motherboard and CPU run as both 64 and 32 bit systems?

cool so I guess neither the CPU or motherboard are in anyway constrained to operating on a 64 bit system only, but can work on both just fine