Decimal to Binary Converter

Convert base-10 decimal integers to binary numbers (Base 2) with a step-by-step division trace.

Enter Decimal Integer

Binary Value (Base 2)

101010

To convert a decimal integer, divide it repeatedly by 2 and track the remainders. Read remainders from bottom to top:

Binary string (reverse remainders order): 101010

How to convert decimal to binary manually

Converting decimal values to binary is historically done using the **repeated division-by-2** method:

Divide your decimal integer by 2.
Note the quotient (result without decimals) and the remainder (which will always be either 0 or 1).
Repeat the division using the quotient as the new number.
Continue this process until your quotient becomes 0.
Write down the list of remainders in reverse order (from your last division to your first division).

For example, converting 13:

Writing remainders backward gives 1101.