Decimal to Binary Converter

It is a very simple way to use this conversion tool. All you need to do is provide decimal number like 123456 into the left textbox and then click on Convert button to obtain binary value in the right textbox.

Incorrect Decimal Value

You might need: Decimal to Hex conversion

You might need: Decimal to Hex conversion

Decimal Number System

The base of the decimal number system is 10. In this number system, 10 digits are used - 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. We know that in decimal number system successive positions to the left of the decimal point represents units, tens, hundreds, etc. It is used in our day to day life.

Binary Number System

Machines use binary number system to perform computations. This number has a base of 2. Hence, there are 2 digits in this system - 0 and 1. Each digit in binary number system represents a power of the base (2).

How to convert Decimal to Binary

Let's understand the conversion by following these steps-

  1. Divide the decimal number by 2.
  2. Write the remainder from Step 1 as the rightmost digit (least significant digit) of the new binary number.
  3. Divide the quotient obtained from the previous division by 2.
  4. Write the remainder from step 3 as next digit (to the left) of the new binary number.

Continue to perform steps 3 and 4, until you get the value of quotient equal to zero.

The steps mentioned above will become clearer when we apply them in an example. Suppose we have a decimal number 41 that we want to convert into binary number.

Decimal To Binary Conversion

Hence, 4110 = 1010012

Decimal to Binary Conversion Table

The following table provides a list of few decimal numbers and their corresponding binary numbers-

Decimal Numbers Binary Numbers
0 0
1 1