Unnormalized Floating Point Arithmetic

Algorithms for floating point computer arithmetic are described, in which fractional parts are not subject to the usual normalization convention. These algorithms give results in a form which furnishes some indication of their degree of precision. An analysis of one-stage error propagation is developed for each operation; a suggested statistical model for long-run error propagation is also set forth.

[1]  Robert L. Ashenhurst,et al.  Significant Digit Computer Arithmetic , 1958, IRE Trans. Electron. Comput..