No, and, sorry to sound like a degenerate neanderthal, but you'll need to explain that to me too!
If the CPU is the engine than the OS is the steering wheel, accelerator, and brakes. The CPU is what makes the computer work, but the OS is what allows you to actually use it.
If you want 4 or more gigs of RAM then you will need a 64 bit OS, which is able to actually utilize all of the RAM, unlike a 32 bit OS, which cannot. It is likely that you will need to buy a new OS for your new computer as you will not be able to use your old one. And they can be expensive, getting up into the triple digits even.
The one that you'll probably want is Windows 7 64 bit, which is the current newest OS, and the one that I can personally vouch for.