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Exploring number bases as tools

Published: 01 March 2012 Publication History

Abstract

In computer science and for society in general, there is a tendency to overlook number bases beyond decimal, binary, and hexadecimal. Our mathematical ancestors used the numbers 12, 60, and 360 to organize time and angular measure. This article describes a method of examining number bases at a glance for possible incorporation in information-age ideas. The number-theoretical relationships of digits to number bases serve as a guide toward selection of numbers for such uses.

References

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[2]
Dudley, Underwood (2008) Elementary Number Theory, Dover, Mineola, NY, page 10.
[3]
Ibid., page 28.
[4]
Flegg, Graham (1989) Numbers through the Ages, Macmillan Education Ltd., London, page 131.
[5]
Glaser, Anton (1971) History of Binary and Other Nondecimal Numeration, 1st ed., self-published, Philadelphia, PA, page 13.
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Hardy, G. H. and Wright, E. M. (2008) An Introduction to the Theory of Numbers, Sixth Edition, Oxford University Press, New York, pages 138--148.
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Ibid., page 111.
[17]
Ibid., page 316.
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    cover image ACM Inroads
    ACM Inroads  Volume 3, Issue 1
    March 2012
    72 pages
    ISSN:2153-2184
    EISSN:2153-2192
    DOI:10.1145/2077808
    Issue’s Table of Contents
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 01 March 2012
    Published in INROADS Volume 3, Issue 1

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    Author Tags

    1. code generation
    2. debugging
    3. instruction set
    4. machine code
    5. reverse engineering
    6. security

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