### Instruction: Convert $\frac{3}{16}$ to base 2. Express your answer in binary with a radix point.### Response: I know that $\frac{1}{2}$ in base 2 is 0.1, and $\frac{1}{4}$ is 0.01, and so on, because each place value after the radix point is a power of $\frac{1}{2}$.
So, to find $\frac{3}{16}$, I can add $\frac{1}{16}$ and $\frac{2}{16}$, which are 0.0001 and 0.0010 in base 2, respectively.
Adding these two binary numbers, I get 0.0011, which is the base 2 representation of $\frac{3}{16}$.