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# Converting Decimal Fraction to Binary, Octal, Hexadecimal

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## Converting Decimal Fraction to Binary, Octal, Hexadecimal

A fractional number is a number less than 1. It may be .5, .00453, .564, etc. We use the multiplication operation to convert decimal fraction to any other base.

**To convert a decimal fraction to—**

**• binary **- multiply by 2

**• octal **- multiply by 8

**• hexadecimal** - multiply by 16

## Steps for conversion of a decimal fraction to any other base are—

1. Multiply the fractional number with the to Base, to get a resulting number.

2. The resulting number has two parts, non-fractional part and fractional part.

3. Record the non-fractional part of the resulting number.

4. Repeat the above steps at least four times.

5. Write the digits in the non-fractional part starting from upwards to downwards.

## Convert 0.2345 from Base 10 to Base 2

The binary equivalent of (0.2345)_{10} is (0.001111)_{2}.

## Convert 0.865 from Base 10 to Base 2,8 and 16.