Is is possible to run a 64 OS in a virtual environment host that is 32 bit. Say for example, I am running Windows XP 32 bit. Would it be possible for me to run a 64bit OS using VirtualBox or VMWare. My processor is a 64bit processor with VT enabled.
Yes, you can run a 64-Bit guest on a 32-Bit host using VirtualBox.
Moreover, I have tested the performance of a 64-Bit guest system on 64-Bit and 32-Bit hosts and for my specific loads there is no significant difference.
Sure, 64-Bit guest on a 64-Bit host feel slightly faster, but according to my measurements it's about 5% difference.
Just make sure you have enough memory on the host (4GB total will be reported as 3.5 GB for a 32Bit XP).