Binary system is actually a numerical system which uses only 2 symbols, 0 and 1. Because of its simple implementation in Electronic digital circuitry making use of logic gates, all contemporary computers make use of the binary system internally.

**Listed below are some standard conversions among binary values and decimal values.**

**Refrence**

decimal 0 = 0 in binary

decimal 1 = 1 in binary

decimal 2 = 10 in binary

decimal 3 = 2 + 1 = 11 in binary

decimal 4 = 22 = 100 in binary

decimal 7 = 22 + 2 + 1 = 111 in binary

decimal 8 = 23 = 1000 in binary

decimal 10 = 23 + 2 = 1010 in binary

decimal 16 = 24 = 10000 in binary

decimal 20 = 24 + 22 = 10100 in binary

## Binary Addition Calculator

The adding of binaries is comparable to the decimal system. The sole difference would be to carry over whenever the result is 2.

0 + 0 = 0

0 + 1 = 1

1 + 0 = 1

1 + 1 = 0, carry 1 = 10

For example:

0 1 1 0 1

+ 1 0 1 1 1

---------------------

= 1 0 0 1 0 0

## Binary Subtraction Calculator

Subtraction works similarly:

0 - 0 = 0

0 - 1 = 1, borrow 1 = -1

1 - 0 = 1

1 - 1 = 0

For example:

1 0 1 1 1

+ 0 1 1 0 1

---------------------

= 0 1 0 1 0