Numerische Mathematik

, Volume 18, Issue 3, pp 224–242

A floating-point technique for extending the available precision

  • T. J. Dekker

DOI: 10.1007/BF01397083

Cite this article as:
Dekker, T.J. Numer. Math. (1971) 18: 224. doi:10.1007/BF01397083


A technique is described for expressing multilength floating-point arithmetic in terms of singlelength floating point arithmetic, i.e. the arithmetic for an available (say: single or double precision) floating-point number system. The basic algorithms are exact addition and multiplication of two singlelength floating-point numbers, delivering the result as a doublelength floating-point number. A straight-forward application of the technique yields a set of algorithms for doublelength arithmetic which are given as ALGOL 60 procedures.

Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • T. J. Dekker
    • 1
  1. 1.Mathematical CentreAmsterdamNetherlands