# A Quick Change of Base Algorithm for Fractions

by Juan B. Gil and Michael D. Weiner

College Mathematics Journal
January, 2008

Subject classification(s): Algebra and Number Theory | Number Theory | Congruences
Applicable Course(s): 4.3 Number Theory

This note is on the digital (floating-point) representation in various arithmetic bases of the reciprocal of an integer $m$. An algorithm is given to change the representation of $1/m$ in base $b$ to its representation in base $b+mt$ for any integer $t$.

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