Which number cannot be represented exactly on a digital computer?

A digital computer stores fractions as a finite number of bits b1,b2,b3,,bnb_1, b_2, b_3, \ldots , b_n representing

b12+b222++bn2n.\frac{b_1}{2} + \frac{b_2}{2^2} + \cdots + \frac{b_n}{2^n}.

Which of the following numbers cannot be represented exactly in this manner?

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