Decimal To Binary

To use this simplest Decimal to Binary converter tool, you just have to type a decimal integer.

For example, enter 308 into the Decimal number field above, and then hit the Convert button. This way you can convert up to 19 decimal characters (max. value of 9223372036854775807) to binary values.

Use the RESET button to clear the calculator.

The SWAP button will help you to switch between Decimal to Binary and Binary to Decimal.

Conversion steps:
1. Divide the number by 2.
2. Get an Integer quotient for the next iteration.
3. Get the remainder for the binary digit.
4. Repeat these steps until the quotient is 0.

Decimal System

The decimal number system is also known as the Base 10 numbering system because it is based on 10 ranging symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9. In the decimal system, every digit holds its own position along with the decimal point. i.e. the number 326.34 has 4 in the Hundredths position, 3 in the Tenths position, 6 in the Unit position, 2 in the Tens position, and 3 in the Hundreds position.

The decimal number system is also one of the ancient numeral systems, whose roots are in the Hindu-Arabic numeral system.

Binary System

Binary is the simplest type of number system that makes use of only two numbers 1 and 0. By using these numbers, arithmetical problems can be solved by machines because in digital instruments, a transistor is used in two states. Those two states can be represented by 0 (False) and 1 (True). That’s why this number system is the most chosen in modern computer engineering, networking and communication technologies by specialists, and other professionals.