# Number bases 2

Number Theory Level pending

Convert 0.2 into base 2.

This number can be written as $$0.\overline{a_1a_2a_3a_4}_2$$ Calculate $$a_1+a_2+a_3+a_4$$

Details: the line above means that $$a_1a_2a_3a_4$$ repeats itself in the binary notation.

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