# Step by step process of fractional number conversion to any other number systems

Here you find step by step process of fractional number conversion to any other number systems. It is very easy to do with some specified steps those are

We have to multiply the fractional number by base to which number system we want to convert, until the all fractional part is remove/zero.

Every time we have to take the integer value (before point) after every multiplication, until the all fractional part is remove/zero.

Then the column of this integer value is read in forward order. That means we have to count those reminder from top to button.

Now take an example to understand the process easily.

**Let we have to convert 0.25 decimal numbers to binary number system.**

As we discuss above that we have to multiply the fractional number by base to which number system we want to convert. So here we convert the fractional number in binary so we have to multiply by** 2.**

Now see that process

**0.25 x 2 = 0.50 0**

**0.50 x 2 =1.00 1**

See in time of second multiplication the fractional part is remove/zero. So we stop our multiplication and take the column of integer value written in right hand side from top to button.

**So equivalent of .25 _{10} is 0.01_{2}.**

Now if **we convert this same number 0.25 _{10} in octal number** then we have to multiply with

**8**.Because the base of octal number is

**8.**

**0.25 x 8 = 2.00 2**

**So equivalent of .25 _{10} is 0.2_{8}.**

Now if **we convert this same number 0.25 _{10} in Hexadecimal number** then we have to multiply with

**16**.Because the base of octal number is

**16.**

**0.25 x 16 = 4.00 4**

**So equivalent of .25 _{10} is 0.4_{16}.**