How to convert Decimal to Binary
Converting a decimal number from decimal system to binary system repeatedly dividing the decimal number by 2 (binary is base-2) and get the remainder until the quotient becomes zero.
Let's see an example. Convert the decimal number 73 to binary :
- Divide 73 by 2 : 73 ÷ 2 = 36 remainder 1
- Divide the quotient 36 by 2 : 36 ÷ 2 = 18 remainder 0
- Divide the quotient 18 by 2 : 18 ÷ 2 = 9 remainder 0
- Divide the quotient 9 by 2 : 9 ÷ 2 = 4 remainder 1
- Divide the quotient 4 by 2 : 4 ÷ 2 = 2 remainder 0
- Divide the quotient 2 by 2 : 2 ÷ 2 = 1 remainder 0
- Divide the quotient 1 by 2 : 1 ÷ 2 = 0 remainder 1
- Concatenate all remainders : 1001001
The decimal number 73 is equivalent to the binary number 1001001.