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Communications of the ACM

Communications of the ACM

Rounding problems in commercial data processing

A common requirement in commercial data processing is that the sum of a set of numbers, rounded in a generally understood manner, be equal to the sum of the numbers rounded individually. Four rounding procedures are described to accomplish this. The particular procedure that is appropriate depends upon whether the numbers being accumulated can vary in sign, whether their sum can vary in sign, and whether the last number being summed can be recognized as such prior to its rounding.

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