64-bit Kernel Question

[Petrus de Calguarium]

I have seen many mentions of the default kernel in Fedora 11 being the 64-
bit kernel for all hardware that supports it. How do I know if my hardware 
supports it? I have an Intel dual core processor. Does that mean I could 
install the 64-bit kernel? I am presently using the PAE kernel. An article 
suggested that this is for "older" hardware. My processor is definitely not 
'older'.