# Writing Numbers in Base $3$, the Hard Way

by Gary E. Michalek

Mathematics Magazine
February, 2001

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

Every integer can be expressed in base $2$ using the set $\{-1, 0, 1\}$ as coefficients. Does one need to use this set, or might another set of numbers do as well? The author investigates this type of question in base $3$, to provide richer examples.

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