Number bases 2

Number Theory Level pending

Convert 0.2 into base 2.

This number can be written as 0. a 1 a 2 a 3 a 4 2 0.\overline{a_1a_2a_3a_4}_2 Calculate a 1 + a 2 + a 3 + a 4 a_1+a_2+a_3+a_4

Details: the line above means that a 1 a 2 a 3 a 4 a_1a_2a_3a_4 repeats itself in the binary notation.


The answer is 2.

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