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.
Here is a table set up to convert 0.75 to binary. Fill in the table by typing numbers in the boxes. Or, do the work with pencil-and-paper.
Decimal | Binary Fraction | |
---|---|---|
Start | 0.750 | 0. |
×2 | 0. | |
erase | ||
×2 | 0. | |
erase | ||
Result | 0. |
Perform the conversion.