Answer
11001101
Work Step by Step
We repeatedly divide 205 by 2, writing the result under the number and writing the remaineder to the right of that number. When we read the remainders from the bottom up, we get our answer.
$2|\underline{205}\ \ \ \ \ $remainders
$2|\underline{102}\ \ \ \ \ \ 1$
$2|\underline{51}\ \ \ \ \ \ \ \ 0$
$2|\underline{25}\ \ \ \ \ \ \ \ 1$
$2|\underline{12}\ \ \ \ \ \ \ \ 1$
$2|\underline{6}\ \ \ \ \ \ \ \ \ 0$
$2|\underline{3}\ \ \ \ \ \ \ \ \ 0$
$2|\underline{1}\ \ \ \ \ \ \ \ \ 1$
$2|\underline{0}\ \ \ \ \ \ \ \ \ 1\ \ \ \uparrow$ read digits up
