go to previous page   go to home page   go to next page

Answer:

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. Fill in the table by typing numbers in the boxes. Or, do the work with pencil-and-paper.

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

QUESTION 14:

Perform the conversion.