On the Distribution of Numbers
- 1 October 1970
- journal article
- research article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in Bell System Technical Journal
- Vol. 49 (8), 1609-1625
- https://doi.org/10.1002/j.1538-7305.1970.tb04281.x
Abstract
This paper examines the distribution of the mantissas of floating point numbers and shows how the arithmetic operations of a computer transform various distributions toward the limiting distribution $r(x) = {1 over x ln b} quad (1/b leqq x leqq ...This publication has 5 references indexed in Scilit:
- On the Distribution of First Significant FiguresThe American Mathematical Monthly, 1969
- Representation Error for Real Numbers in Binary Computer ArithmeticIEEE Transactions on Electronic Computers, 1967
- A Note on the Location of the Binary Point in a Computing MachineIEEE Transactions on Electronic Computers, 1965
- Numerical Methods for Scientists and Engineers.Journal of the Royal Statistical Society. Series A (General), 1962
- On the Distribution of First Significant DigitsThe Annals of Mathematical Statistics, 1961