The whole idea reminds me a lot of quantum computers in that they'll likely be very good at solving very specific math problems that regular computers currently struggle with. For instance, the issue of identifying what set of numbers inside a much larger set adds up to a specific value, like 10.
"...rather than hassling with a back-and-fourth data-shuffle, the internal architecture of the memcomputer essentially sets up a giant maze for electricity to run through. To oversimplify whats going on: In the maze, you can imagine the entrance is a single number and all the possible exits are every other possible number it could be combined with. The maze is also constructed so that electric current can only jolt through to correct combinations (combinations that add up to 10, for example). In a single blast the memcomputer will set up a maze, have electricity run it, and store which the numbers combined with the first number to add up to 10."
Hope this new system works!
I hope this tech doesn't fades in the dark as other hyped ideas 'cough nanotubes cough!'