MathCastle
Number TheoryEasyDigits and Bases

Digits and Bases · Easy problem

The base-2 numeral 0.10120.101_2 means 1⋅2−1+0⋅2−2+1⋅2−31 \cdot 2^{-1} + 0 \cdot 2^{-2} + 1 \cdot 2^{-3}. Write it as a fraction in lowest terms.