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

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.

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