This article linked at Kurzweil's site suggest computers will continue their exponential growth in processing power in the coming years so that in less than a decade, they will operate at exaflop speeds (10^18 or a quintillion operations per second).
For computers to actually achieve strong AI (intelligence) on a level equalling or exceeding humans, dramatic improvements in AI software would also have to be made. Pure processing power in itself is not enough.
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