in case you don't know what
32-bit and
64-bit is
read this.
To know if your current OS is 32 or 64 bit,
read this, to know what you are installing, depends from the disk you are using, it should clearly state it during installation.
As long as both windows 7 (HP and Ultimate) are both 32 bit OR both 64 bit, doing the backup with drivermax should work.