Question

how to convert (11010. 011)₂into decimal number?

Answer 1

$$\begin{gathered} \mathrm{The}\mathrm{given}\mathrm{binary}\mathrm{number}\mathrm{is}, \\ {\left(11010.011\right)}_2=1\times 2^4+1\times 2^3+0\times 2^2+1\times 2^1+0\times 2^0+0\times 2^{-1}+1\times 2^{-2}+1\times 2^{-3} \\ =16+8+0+2+0+0+\frac{1}{4}+\frac{1}{8} \\ ={\left(26.375\right)}_{10} \end{gathered}$$