### 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 it by 2 and record the integer part of the result.
For example, $\frac{3}{16} \times 2 = \frac{6}{16} = \frac{3}{8}$, and the integer part is 0, so the first binary digit after the radix point is 0.
Then I repeat the process with the remaining fraction $\frac{3}{8}$: $\frac{3}{8} \times 2 = \frac{6}{8} = \frac{3}{4}$, and the integer part is 0 again, so the second binary digit is also 0.
Continuing this way, I get:

$\frac{3}{4} \times 2 = 1\frac{1}{2}$, integer part is 1, so the third binary digit is 1.
$\frac{1}{2} \times 2 = 1$, integer part is 1, so the fourth binary digit is 1.
Since there is no fractional part left, I can stop here and write the final answer.