The binary number 0.1101 in decimal is

Explanation

0.1101 in base two to base 10

0.1101 = \(0+ 1 \times2^{-1} + 1 \times2^{-2} + 0 \times 2^{-3} + 1 \times2^{-4}\)

           = 0 + \(\frac{1}{2} + \frac{1}{4} + 0 + \frac{1}{16}\)

           = 0 + \(\frac{13}{16}\) = \(0.8125_{10}\)