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# How do you convert the decimal fraction into binary number 0.313?

1. If the number is less than 1/2 put a 0 in the first place to the right of the binary point; if it is greater than or equal to 1/2 (0.5) put a 1 there and subtract 1/2 from the original number. _ _ 0.0 _ _0.313 remaining
2. If the remainder is less than 1/4 put a 0 in the 2nd place to the right of the binary point; if it is greater than or equal to 1/4 (0.25) put a 1 there and subtract 1/4 from the leftover number. _ _ 0.01 _ _0.063 remaining
3. If the remainder is less than 1/8 put a 0 in the 3rd place to the right of the binary point; if it is greater than or equal to 1/8 (0.125) put a 1 there and subtract 1/8 from the leftover number. _ _ 0.010 _ _0.063 remaining
4. If the remainder is less than 1/16 (0.0625) put a 0 in the 4th place to the right of the binary point; if it is greater than or equal to 1/16 put a 1 there and subtract 1/16 from the leftover number. _ _ 0.0101 _ _0.0005 remaining
5. If the remainder is less than 1/32 (0.03125) put a 0 in the 5th place to the right of the binary point; if it is greater than or equal to 1/32 put a 1 there and subtract 1/32 from the leftover number. _ _ 0.01010 _ _0.0005 remaining

... and so on until you have no remainder or a repeating pattern.

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