Answer
10010
Work Step by Step
As with standard Base 10 multiplication, multiply each digit of the second factor by the first factor, adding a 0 to the end of the product for each digit to the right of the digit you are multiplying
$\ \ \ \ \ 1\,1\,0$
$\ \ \ \underline{\ \ \ \ \ 1\,1}$
$\ \ \ \ \ \ 1\,1\,0$
$\ \ \ \underline{1\,1\,0\,0}\longrightarrow$ add one 0 at the end
$1\, \underset\uparrow0\, \underset\uparrow0\, 1\, 0$
$\ \ \ $Since $1+1=10$ in binary addition, write 0 in this column and carry 1 to the left.