### Instruction: Convert $\frac{3}{16}$ to base 2. Express your answer in binary with a radix point.### Response: I know that $\frac{1}{16}$ in base 2 is 0.0001, since each place value after the radix point is half of the previous one.
So, if I multiply that by 3, I should get $\frac{3}{16}$ in base 2.
To multiply by 3 in base 2, I can add the number to itself twice, using binary addition.
That means I need to add 0.0001 and 0.0001, which gives me 0.0010.
Then I need to add 0.0010 and 0.0001, which gives me 0.0011.
So, $\frac{3}{16}$ in base 2 is 0.0011.