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Correction to “logical” arithmetric on computers with two's complement binary arithmetic

By John R. Ehrman

Communications of the ACM, Vol. 13 No. 11, Pages 697-698

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In reference [1] algorithms for performing arithmetic with unsigned two's complement operands were described. The scheme for division was implemented in a set of multiple-precision floating-point arithmetic routines [2]. User experience with those routines showed that there is one case where the algorithm fails [3]. We give here a modification to the algorithm which eliminates the error condition. Equations are numbered beginning with (20), so that we may refer to equations in the original paper as well.

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