Answer
$101100101010$
Work Step by Step
Replace each hexadecimal digit with its equivalent 4-digit binary form. Add zeroes to the front of the binary value if necessary to create a 4-digit number.
$B_{16}=11_{10}=2^3+2^1+2^0=1011_2$
$2_{16}=2_{10}=2^1=10_2=0010_2$
$A_{16}=10_{10}=2^3+2^1=1010_2$
The leading zeroes can be dropped from the first group of 4 when writing the final answer.
$\underbrace{\ \ \ B\ \ \ }\ \underbrace{\ \ \ 2\ \ \ }\ \underbrace{\ \ \ A\ \ \ }$
$1011\ \ 0010\ \ 1010$