A good answer might be:

You might fear that a '2' or higher digit might move into the one's place. Try this: multiply the biggest decimal fraction 0.99999... by two. This yields 1.99999... Even with this fraction a '1' moves into the one's place.

Practice

Here is an table set up to convert 0.75 to binary.

  DecimalBinary so far
Start 0.750 0.
×2  0.
erase   0.
×2  0.
erase   0.
Result   0.


QUESTION 14:

Perform the conversion.