It's just showing you the flags in hex from left to right.  4 flags in each hex digit.  Add four for each '0' to the left, then add 1 for an '8', 2 for a '4', 3 for a '2' and 4 for a '1'.

One of your examples was: 0x00800000 0x00000000

So two zeros on the left, add 4 for each => 2 * 4 => 8

Next digit is 8, so add 1.   8 + 1 => 9.  This is flag 9.

This works fine for determining the flag number of any single flag.  If you have multiple flags in different digits, just pretend the others aren't set.  So this one in my logs:   0x28000004 0x00000000

Would be flags 3, 5, and 30.

Little more complex if you have multiple flags in a digit. You have to break it into the components.

I have a lot of errors of flag 55 (which is just past the end of the flags that are discussed in the HP document).  I remember asking them about it, but we didn't come up with a specific reason for that flag to alert.  Caused a *lot* of problems.

Note that the BPTM log records the same data in two forms.  Once with the hex display and once with the decimal display.

02:48:09.651 [364] <2> send_MDS_msg: DEVICE_STATUS 1 52778 blah blah blah blah TAPE_ALERT 2048 0
02:48:09.651 [364] <2> JobInst::sendIrmMsg: starting
02:48:09.653 [364] <2> JobInst::sendIrmMsg: returning
02:48:09.679 [364] <2> log_media_error: successfully wrote to error file - 01/01/09 02:48:09 blah 30 TAPE_ALERT blah 0x00000800 0x00000000

0x000000800 and '2048' tell about the same flag.