Can I put modern day lighter gasoline in a prehistoric flint?
Basically, that is the same question. 64 bit applications are not made for PII computers in any way. If a PII is all you have, don't even think of messing with 64 bit applications. If you must run a 64 bit application, get yourself a machine that can do so.
PIIs are old. Not only does it have a different processor, it has a different BIOS, lacks space in drives and memory, probably uses another USB standard, etc.
First, I am surprised that you can run a VM at all on a PII. Second, I would be very surprised if it would say something else than "out of memory" for anything heavier than notepad.
Like you cannot test lighter fluid with a prehistoric flint (you might get it to burn, but it won't tell you anything; even the flint in your modern lighter is totally different), trying to test the quality of a 64 bit program on a PII is a waste of effort.
+++ Despite being wrong in every important aspect, that is a very good analogy +++
Hex (in Darwin's Watch)