Transfering product key/serial number to new computer

Hello everyone.  I recently switched from PC to Mac.  I'm most likely going to get rid of my PC (it's a dinosaur).  Problem is, I also recently renewed my subscription to Norton Antivirus 2009.  I guess my question is can I delete my Norton 2009 from my PC and then download Norton for Mac and then register it with my old information?  I'd hate to have to pay for another subscription considering I have almost 300 days left.

 

Thanks.