The most powerful computers on both aircraft are the same. They are grey on the outside and squishy. On Boeing, they are directly connected to the aircraft, on airbus, there are much less capable computers in the way.
While some sing the praises of that bl@&Ły table, others look at the manuals and see that though not perfect, Boeing present their information (information that might save your life) much better than airbus, yet their aircraft is simpler.
Being build aircraft which suffer glitches, as airbus do, but the Boeing product is honest and doesn't try to confuse you when things go wrong - perhaps the greatest failing of the airbus product line for some time.
If you wish to be an aircraft manager, and don't mind handing some of the authority over whether you live or die to French technology, enjoy the airbus. If you are a pilot, and wish to control a machine, using your skills, experience, wit, and cunning to get the best out of it, then the Boeing is for you.