Well I guess it's a far gone conclusion that if
the
 box doesn't have an IBM 5150 style BIOS, it's not
 going to run DOS.  
The HP110 and HP150 don't have an IBM style BIOS -- the techncial manuals
make the point that they are not bios-function cmpatible with the PC. But
they run (a customised version of) MS-DOS. There was even a Microsoft
Windows 1.x for the HP150.
-tony