Definition:Golden Mean Number System/Examples

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Examples of Numbers Expressed in Golden Mean Number System

Example: $100 \cdotp 1$

The number expressed in the golden mean number system as $100 \cdotp 1$ is:

\(\ds \left[{100 \cdotp 1}\right]_\phi\) \(=\) \(\ds \phi^2 + \phi^{-1}\)
\(\ds \) \(\approx\) \(\ds 3 \cdotp 236\)