Cubase 5 32bit - projects compatibility with next versions

Hello !
I had a PC with windows 7 32bit. Now I have the same PC but with windows 7 64bit. I installed cubase 5.5.3 on 32bit mode because I wasn’t sure if could open the older projects and for some other plug ins if they could work. My question is that in the future, if I want to update with a higher version of cubase, do I have again to select the 32bit option to open older projects that have been made in the past (windows 7 64bit - cubase 5 32 bit mode) or the higher versions of cubase open every project in every bit mode ?

Thanks