# Digital Number Conversions Calculator | Binary, Octal, Decimal, Hexadecimal

Number conversions calculator is simple and easy to use. Enter the number in any box and it will automatically return other three values.

## Binary

Binary is a 2 base numbering system that is made up of two numbers 0 and 1. The binary numbers are expressed by placing two brackets with a subscript 2.

As an example (101)_{2} is the binary number.

### How Binary to Decimal works

The commonly used number system (which we use in our daily life is the decimal, whose base is 10).

Starting from 1, the rows below display the decimal numbers which are expressed in the binary form:

1 –> 1

2 –> 10

3 –> 11

4 –> 100

5 –> 101

6 –> 110

7 –> 111

8 –> 1000

and so on.

After observing above rows one might understand that starting from the right side the first binary digit has a value of 1, second binary digit represents a value of 2, the third digit represents a value of 4 and the fourth digit represents 4.

For example, consider 100.

Now 100 = 1*4 + 0*2 + 0*1 = 4

Another one 110 = 1*4 + 1*2 + 0*0 = 6

### Octal

Link binary, the octal numbering system involves first 7 numbers afters which the repetition starts.

List of octal numbers: 1, 2, 3, 4, 5, 6, 7

As an example, consider the case where we have an octal number

The Octal 56.

Converting this to binary number requires us converting 6 to 110 separately and then 5 to 101.