### Instruction: Convert $\frac{3}{16}$ to base 2. Express your answer in binary with a radix point.### Response: To convert a fraction to base 2, I need to repeatedly multiply the fraction by 2 and record the integer part as the next binary digit.
For example, if I have $\frac{1}{4}$, I can multiply by 2 to get $\frac{1}{2}$, which has an integer part of 0 and a fractional part of $\frac{1}{2}$.
Then I can multiply the fractional part by 2 again to get 1, which has an integer part of 1 and no fractional part.
So $\frac{1}{4}$ in base 2 is 0.01.
I can apply the same method to $\frac{3}{16}$.
First, I multiply by 2 to get $\frac{3}{8}$, which has an integer part of 0 and a fractional part of $\frac{3}{8}$.
Then I multiply the fractional part by 2 to get $\frac{3}{4}$, which has an integer part of 0 and a fractional part of $\frac{3}{4}$.
Then I multiply the fractional part by 2 to get $\frac{3}{2}$, which has an integer part of 1 and a fractional part of $\frac{1}{2}$.
Then I multiply the fractional part by 2 to get 1, which has an integer part of 1 and no fractional part.
So $\frac{3}{16}$ in base 2 is 0.0011.