Question 2.2: Convert 02CA16 to decimal.
Convert 02CA_{16} to decimal.
First, convert the hex to binary by grouping into hextets.
\begin{matrix} \underset{0000}{ \underline{0}} & \underset{0010}{\underline{2}} & \underset{1100}{{\underline{C} }} & \underset{1010}{\underline{A} } \end{matrix}Then apply the double-dabble method on the binary form:
\begin{matrix} 1 & 0 & 1 & 1 & 0 & 0 & 1 & 0 & 1 & 0 \\ & 2 & 4 & 10 & 22 & 44 & 88 & 178 & 356 & 714\\ \\ &\frac{+0}{2} & \frac{+1}{5} & \frac{+1}{11} & \frac{+0}{22} & \frac{+0}{44} & \frac{+1}{89} & \frac{+0}{178} & \frac{+1}{357} & \frac{+0}{714}\\ \\ \frac{\times2}{2} &\frac{\times2}{4} & \frac{\times2}{10} & \frac{\times2}{22} & \frac{\times2}{44} & \frac{\times2}{88} & \frac{\times2}{178} & \frac{\times2}{356} & \frac{\times2}{714} & \end{matrix}02CA_{16}=1011001010_{2} = 714_{10}
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