41

Part of 1972 IMO Longlists

Problems(1)

Transform ternary decimal to binary decimal and vice versa

Source:

The ternary expansion

x = 0.10101010\cdots

is given. Give the binary expansion of

x

. Alternatively, transform the binary expansion

y = 0.110110110 \cdots

into a ternary expansion.

number theory unsolvednumber theory