What are the fundamental differences between 32-bit software and 64-bit software?

For chess engines that use bitboards (http://en.wikipedia.org/wiki/Bit...) to represent the state of a game, 64-bit CPUs offer a substantial performance gain over their 32-bit counterparts. This is because a single 64-bit word manipulation operation on a 64-bit CPU usually translates to multiple instructions on a 32-bit CPU. More.

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