Answer
$101011111$
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.
$\ \ \ \ \ \ \ \ \ 11011$
$\underline{\ \ \ \ \ \ \ \ \ \ \ 1101}$
$\ \ \ \ \ \ \ \ \ 11011$
$\ \ \ \ \ 1101100\longrightarrow$ add 2 zeroes at the end
$\underline{\ \ \ 11011000}\longrightarrow$ add 3 zeroes at the end
$\ 101011111$
$\ \ \ |\ |\ |\ |\ ^{\llcorner}$1+1+1=11; write 1 and carry 1
$\ \ \ |\ |\ |\ ^{\llcorner}$ 1+1+1=11; write 1 and carry 1
$\ \ \ |\ |\ ^{\llcorner}$ 1+1=10; write 0 and carry 1
$\ \ \ |\ ^{\llcorner}$ 1+1+1=11; write 1 and carry 1
$\ \ \ ^{\llcorner}$ 1+1=10; write 0 and carry 1
