Kernel compiled for AMD
 

I have a question about kernels begin compiled for different architectures.

If I compile a kernel for my AMD64, boot with it and then compile other applications under this kernel. If I then compile another kernel for i386 and boot with that...do I need to recompile my applications under the different kernel? Does the architecture the kernel is compiled for have any bearing whatsoever on how an application is compiled?

compile all application in i386 kernel and then i hope they will work under 64bit kernel.