Convert each decimal fraction to binary using repeated-multiplication-by-2?

Well, isn't that just a happy little question! To convert a decimal fraction to binary using repeated multiplication by 2, you can multiply the decimal part by 2 and write down the whole number part of the result. Then, take the decimal part of the result and repeat the process. Keep doing this until the decimal part becomes 0 or until you reach the desired level of precision. Just remember, there are no mistakes, just happy little accidents in the world of math!