How to add two natural numbers in base phi

F. Michel Dekking

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arXiv · 2002.01665

How to add two natural numbers in base phi

F. Michel Dekking

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Abstract

In the base phi representation any natural number is written uniquely as a sum of powers of the golden mean with coefficients 0 and 1, where it is required that the product of two consecutive digits is always 0. In this self-contained paper we give a new, and short proof of the recursive structure of the base phi representations of the natural numbers.

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F. Michel Dekking. 2020-02-05. How to add two natural numbers in base phi. https://arxiv.org/abs/2002.01665

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