Horner-Schema/Beispiele/Binär nach Dezimal

$${\begin{aligned}{\textrm {1}}&=\color {blue}{1}\\{\color {blue}{\textrm {1}}}{\color {orange}{\textrm {0}}}&={\color {blue}{1}}\cdot 2+{\color {orange}{0}}={\color {green}{2}}\\{\color {green}{\textrm {10}}}{\color {red}{\textrm {1}}}&={\color {green}{2}}\cdot 2+{\color {red}{1}}={\color {purple}{5}}\\{\color {purple}{\textrm {101}}}{\color {royalblue}{\textrm {0}}}&={\color {purple}{\textrm {5}}}\cdot 2+{\color {royalblue}{0}}={\color {gray}{10}}\\{\color {gray}{\textrm {1010}}}{\color {orchid}{\textrm {1}}}&={\color {gray}{\textrm {10}}}\cdot 2+{\color {orchid}{1}}={\color {brown}{21}}\\{\color {brown}{\textrm {10101}}}{\color {seagreen}{\textrm {0}}}&={\color {brown}{\textrm {21}}}\cdot 2+{\color {seagreen}{0}}=42\end{aligned}}$$