KenV, I'd be a little surprised if the Advanced Super Hornet has more processing power (installed and operating) than the F-35. I was under the impression that the single company funded prototype focussed on the conformal tanks and weapons pod - I'm not aware that they've built a new avionics system as well. If you have any more info on this, please share it, I'd be really interested.
These are the primary areas of improvement in the Advanced Super Hornet over the Super Hornet:
Conformal fuel tanks
Enclosed weapons pod
Next-generation cockpit
Enhanced engine
Internal Infrared Search and Track
The "Next Generation Cockpit" includes new more powerful processors, 11x19 touch screen displays (similar to the F-35), an advanced helmet cueing system, and more. I'll look for some technical details.