But -
if you have a drive formatted FAT (16 if you use a ms-dos 6 floppy and 16 or 32 with a dos-7-floppy) and put the BIOS-update files there... then you could take your bootfloppy, use another machine and make a bootable CD using the floppy as template for the booting function, boot the box with the cd and run the biosupdate stuff.
If you have a dos-6-floppy you could in fact have space on it for the bios-files as well. Make a bootable cd from it as above and then boot the first box regardless of os or filesystem of the harddrive.
@JacKDynne: Nah, it's good shaming a little every now and then...
