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Addition in an arbitrary base without radix conversion

Published:01 June 1975Publication History
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Abstract

hnique; using it, one may add and subtract numbers represented in any radix, including a mixed radix, and stored one digit per byte in bytes of sufficient size. Radix conversion is unnecessary, no looping is required, and numbers may even be stored in a display (I/O) format. Applications to Cobol, MIX, and hexadecimal sums are discussed.

References

  1. 1 Grishman, R. Assembly Languages Programming foir the Control Data 6000 Series. Algorithmics Press, New York, 1971, pp. 191, 201.Google ScholarGoogle Scholar
  2. 2 Knuth, D.E. The Art of Computer Programming, Vol. 1, Fundamental Algorithms. Addison-Wesley, Reading, Mass., 1968, pp. 120-121. Google ScholarGoogle ScholarDigital LibraryDigital Library
  3. 3 Neuhaus, J.O. Display coded character arithmetic on the 6000 series. CDC Tech. Rep. TER-04, Dec. 1966.Google ScholarGoogle Scholar

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  1. Addition in an arbitrary base without radix conversion

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        cover image Communications of the ACM
        Communications of the ACM  Volume 18, Issue 6
        June 1975
        51 pages
        ISSN:0001-0782
        EISSN:1557-7317
        DOI:10.1145/360825
        Issue’s Table of Contents

        Copyright © 1975 ACM

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        Association for Computing Machinery

        New York, NY, United States

        Publication History

        • Published: 1 June 1975

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