IMO 1972 LL SWE41

The ternary expansion x = 0.10101010 . . . is given. Give the

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IMO 1972 LL SWE41

Origin: SWE

Problem

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