My XXX rule is, (now) when I am diving 32 - 36%... I better be watching the computer when I get down to about 800 or 1000 psi, more or less, depending on tank size, depth and workload - for the first dive of course.
One of my favourite bits of dialog from any movie ever is from Animal Crackers. It's an old Marx Brother's movie.
Groucho, as Captain Geoffrey T. Spaulding is talking to Roscoe W. Chandler, famous art patron, about building a new opera house near Central Park in Manhattan. Groucho suggests putting it in Central Park at night when no one is looking. Maybe right in the reservoir. And then screenwriter George Kaufman drops this gem:
"Well, Art is Art, isn't it? Still, on the other hand, water is water. And east is east and west is west and if you take cranberries and stew them like applesauce they taste much more like prunes than rhubarb does. Now you tell me what you know."
I am very much reminded of this scene by your XXX rule. There are a handful of bits of information, which are generally related, but don't exactly fit together.
Why are you watching your computer when you get down to 800-100psi? Is it AI? Why is tank size important? Is it a single HP120? Is it a set of doubled LP50s? 800psi in those two different rigs is pretty goddamn different. The deco models from 32 (the most useful gas possible) and 36 (some crap that dive resorts sell because they can charge more for) is pretty different, too. "For the first dive of course," ... of course? I don't know why "of course."
So many questions.
But I'd like to ask you one. Specifically about 800psi. Let's go with an AL80 because... well... why the hell not.
800 psi in an AL80 is ~20 cubic feet. If you are at, say, 100 feet of depth (we are completely ignoring all sorts of discussion about NDLs or deco at this point because... well... If you take cranberries and stew them like applesauce, they taste much more like prunes than rhubarb does) and you look down to see that you're at 800 psi... you are actually, possibly, completely screwed.
To get from 100 feet to the surface at a safe ascent rate should take AT LEAST 4 minutes at 30 feet per minute, excluding any safety stop or slowed shallow ascent rate. So let's call it 5. For luck.
OH DIP, WE'RE GONNA TALK AVERAGE DEPTHS!!
100 feet -> 0 feet in five minutes. Average depth = 50 feet over those five minutes.
If you're breathing rate is, say, .7cf/minute, which is on the mid-high side of average... but you're at and average of 50 feet, or 2.5ATA... you're burning through about 1.75cf/minute. So you need at least 9 cubic feet to get safely to the surface. But you've only got 20. Which means...
Oh. Hm. That by the time you hit the surface you've still got 11 cubic feet (or 440psi) left in your tank. Which is nice, I guess.
Assuming your pressure gauge is accurate at those lower pressures and your heart rate/breathing rate/workload never escalated at all or that you never had to share air with a buddy who was also running on fumes.