0.1101 in base two to base 10
0.1101 = 0+1×2−1+1×2−2+0×2−3+1×2−40+ 1 \times 2^{-1} + 1 \times 2^{-2} + 0 \times 2^{-3} + 1 \times 2^{-4}0+1×2−1+1×2−2+0×2−3+1×2−4
= 0 + 12+ 14+0+ 116\;\frac{1}{2} + \;\frac{1}{4} + 0 + \;\frac{1}{16}21+41+0+161
= 0 + 1316\;\frac{13}{16}1613 = 0.8125100.8125_{10}0.812510