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I got a problem, I can't figure out why when I compute [itex]A+B[/itex] and [itex]2\times (\frac{A}{2}+\frac{B}{2})[/itex] the result is sometimes different.

Can anyone explain why the results of the two operations are different ?

Edit : A and B are coded in binary of course and we compute a binary addition.

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# Error in binary arithmetics

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