# Convert decimal to binary using division method

- Division method is used to convert only integer part of a decimal number to its equivalent in binary number system.
- In this method the integer part of the decimal number is continuously divided until we reach a stage where the quotient becomes zero.
- The reminder that we obtain at each division iteration becomes the value of the weights or the digits in the binary number system.
- The reminders that we obtain are taken from the last step to first step i.e. the last reminder obtained during the division iteration is the most significant digit (
**MSD**) and the first reminder the we obtained is the least significant digit in the binary number system. - You will understand the procedure better with the following illustrative example.

__ Ex1:__ Convert (32)

_{10}decimal number to binary number (?)

_{2}using division method

**1st Division Iteration**Divide 32 by 2

32 ÷ 2 = 16(Quotient) Reminder:0

**2nd Division Iteration**

Divide 16 by 2

**3rd Division Iteration**

Divide 8 by 2

**4th Division Iteration**

Divide 4 by 2

4 ÷ 2 = 2(Quotient) Reminder=0

**5th Division Iteration**2 ÷ 2 = 1(Quotient) Reminder=0

**6th Division Iteration**1 ÷ 2 = 0(Quotient) Reminder=1

Remainder from the last division iteration becomes **MSD **and reminder from 1st iteration becomes **LSD**.

Hence, the binary equivalent of the decimal number **32** is (**100000).**