Answer
$11110011$
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.
$\ \ \ \ \ \ \ \ \ \ \ 1\,1\,0\,1\,1$
$\ \ \ \ \ \ \ \ \ \underline{\ \ \ \ \ 1\,0\,0\,1}$
$\ \ \ \ \ \ \ \ \ \ \ 1\,1\,0\,1\,1$
$\ \ \ \underline{1\,1\,0\,1\,1\,0\,0\,0}\longrightarrow$ add three\gt zeroes at the end
$\ \ \ 1\, 1\, 1\, \underset\uparrow1\, \underset\uparrow0\,0\,1\,1$
$\ \ \ \ \ \ \ \ \ \ $ $\uparrow1+1=10$ in binary, write 0 in this column and carry 1 to the left.
$\ \ \ \ \ \ \ \ \ \ $ $1+1+1=11$ in binary, write 1 in this column and carry 1 to the left.
