When the binary number $100101110010_2$ is divided by 4, what is the remainder (give your answer in base 10)?
To find the remainder when dividing by 4, I only need to look at the last two digits of the binary number, since 4 is $100_2$ in binary. The last two digits are $10_2$, which is 2 in base 10. Therefore, the remainder is 2.

