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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 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.

  DecimalBinary Fraction
Start 0.750 0.
×2 0.
erase  
×2 0.
erase  
Result   0.

QUESTION 14:

Perform the conversion.


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