As I posted before, with four 8 ohm drivers you have the choice of 32, 8, or 2 ohms. It's not really a "theory" at all, it's just the way it is. The reason that
eight 8 ohm drivers can be wired for 4 ohms is best described by thinking of the 4 ohm 810 as two 8 ohm 410's wired together in parallel.
Theoretically, you could wire it for 2 ohms and put a resistor in the circuit to obtain 4 ohms; but that is such a terrible idea on so many levels it's not worth explaining.
It also would be counterproductive to the reason you want a 4 ohm cab in the first place, it wouldn't be louder than an 8 ohm cab, probably quieter in fact.
As far as getting "full use of the amp", the difference between running the amp at 8 ohms vs. 4 ohms isn't really that great.
A lot of people assume that just halving the impedance will make your rig about twice as loud.
I'm not real sure about the Beta output with an 8 ohm load; I'm going to guess about 60 watts or so. If that is correct, you
might pick up a decibel or two in volume by running the same cab but at 4 ohms.
IMO not worth messing with; you probably won't even be able to
tell it's louder without using a dB meter, and the amp is much happier and cooler running at 8 ohms.
If you want louder, add another 8 ohm 410.
That will pump things up!