Evaluate ((111_{two})^2) and leave your answer in base 2

A.
(111001_{two}) 
B.
(110001_{two}) 
C.
(101001_{two}) 
D.
(10010_{two})
Correct Answer: Option B
Explanation
((111_{two})^{2}=(111_{two})(111_{two})\
=1 times 2^{2}+1times2^{1}+1times 2^{0}=4+2+1=7_{_{ten}}\
(111_{two})^{2}=7times 7=49\
begin{matrix}
2 & 49\
2 & 24hspace{1mm}Rhspace{1mm}1\
2 & 12hspace{1mm}Rhspace{1mm}0\
2 & 6hspace{1mm}Rhspace{1mm}0\
2 & 3hspace{1mm}Rhspace{1mm}0\
2 & 1hspace{1mm}Rhspace{1mm}1\
& 0hspace{1mm}Rhspace{1mm}1hspace{1mm}uparrow
end{matrix} \
=110001_{2})