MathDB

SMT 2010 General #22

Source:

February 11, 2012

ratio

Problem Statement

We need not restrict our number system radix to be an integer. Consider the phinary numeral system in which the radix is the golden ratio

\phi = \frac{1+\sqrt{5}}{2}

and the digits

0

and

1

are used. Compute

1010100_{\phi}-.010101_{\phi}