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Transform ternary decimal to binary decimal and vice versa

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December 6, 2010
number theory unsolvednumber theory

Problem Statement

The ternary expansion x=0.10101010⋯x = 0.10101010\cdots is given. Give the binary expansion of xx. Alternatively, transform the binary expansion y=0.110110110⋯y = 0.110110110 \cdots into a ternary expansion.
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