plz help me?!

i bought Norton for my mac not long ago, i've also got a pc and the pc's supscription is about to run out just wondering if you could help me out here.

 

I have the Norton Dual pack for Mac which came with the two discs i was wondering should i take the norton i have on my pc off and install the windows disc i got with the dual pack instead on to my pc? if i do this does that me my mac will be registered too?