Question : Can Windows XP Pro for 32-bit run on a 64-bit machine?

I am having issues with my computer and I would like to know if I can run Windows XP Professional for a 32-bit machine on my 64-bit machine?  I currently have the Toshiba Model #A305-S6858.

Answer : Can Windows XP Pro for 32-bit run on a 64-bit machine?

Thank you.  

I guess I didn't word that correctly.  I should have asked if it was 'okay.'  My issues are with my old software that I purchased won't run with Vista and it's too expensive for me to wait &/or purchase upgrades, etc.