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Issue No. 04 - April (1982 vol. 31)
ISSN: 0018-9340
pp: 328-335
A. Feldstein , Department of Mathematics, Arizona State University
ABSTRACT
We study the loss of significant ?its (?base ? digits) in floating point addition or subtraction. To do this, we calculate the conditional probability of a post-arithmetic normalization shift of m ?its, given an exponent difference of k ?its. The study is done for various bases ?, under two different assumptions?that the operands are selected at random from the logarithmic distribution or from the uniform distribution.
INDEX TERMS
uniformly distributed numbers, Computer arithmetic, floating point addition and subtraction, floating point precision and significance, logarithmically distributed numbers, loss of significant digits, significant digits
CITATION

R. Goodman and A. Feldstein, "Loss of Significance in Floating Point Subtraction and Addition," in IEEE Transactions on Computers, vol. 31, no. , pp. 328-335, 1982.
doi:10.1109/TC.1982.1676002
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