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Message: [QUOTE="Paul Hsieh, post: 1402207"] [email]ron@sensor.com[/email] says... You can, but you'd be wrong. Rotations are operations which form a mathematical object called a "group" -- but this is really only true if the rotation index is unrestricted, or equivalently that the modulo on the rotation index is applied. This is not true of shifts, which is why the argument is different. In essence, ror(ror(a,b),c) should be simplifiable to ror(a,b+c) without question. (I could argue for different kinds properties for shifts, but they are not the same as this one, and obviously the ANSI C committee isn't concerned about such things.) [/QUOTE]