Find the product of $1011_2 \cdot 101_2$.  Express your answer in base 2.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Find the product of $1011_2 \cdot 101_2$.  Express your answer in base 2.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
110111
Find the product of $1011_2 \cdot 101_2$.  Express your answer in base 2.
train