Question:

Do 32 bit prgms work in 64 bit?

Answer:

Yes, mostly. You will have some compatibility problems, though. 32-bit drivers won’t work in a 64-bit environment, and programs that depend on a specific 32-bit driver won’t work (think, some webcam software, CD/DVD burning software, etc). ActiveX parts of Web pages might not work for you. Additionally, everything is going to be a little bit slower (like, 5-10%).
But, most programs will work, thanks to WOW64 (64-bit Windows on Windows). The WOW64 layer handles all the translations needed when programs try to communicate to a 32-bit version of Windows. For more information about WOW64, read this two-part article.