I've heard several people say that they don't like phonetic systems, but I think a lot of the problems that people mention about translating the numbers into sounds disappear after some practice. :)
I used the Dominic system for about seven months, then experimented with the Major System, and eventually switched to a modified Ben System. The ease at remembering the numbers is the same, except more digits fit into a locus with a 1000 image system. Also, I don't think anything approaches Ben's system for binaries.
With Ben's system, a row of 30 (competition) binaries like this: 011110010000100000000110001111
can easily be marked with a pencil like this: 0111'100'100/0010'000'000/0110'001'111
And quickly translated into "car", "Nostradamus", "beaker" (though I've created all my images as one syllable sounds with a certain notation: "KAR", "NOS", "BIK" -- I think of it as a kind of artificial language). I don't think 10 binaries can be encoded at once without a phonetic system.
It's definitely brutal to learn in the early stages, but I'm convinced that it will pay off. :)