This binary calculator performs additions, subtractions and binary conversions from or to decimal in its three calculating tabs. Discover more on this subject, learn how to make the binary decimal transformations and check example results below the form.

## How does this binary calculator work?

This is a useful tool that allows you to quickly perform binary calculations and conversions to and from decimal. That is why the binary calculator has three tabs, each one being designated for a specific operation. All that you have to do is choose the right tab, input the data required then the calculator will do the work and return you the results.

### Add/Subtract binary tab

- Designed to add or subtract two binary values.

- Ex addition: 000110 + 11001 = 10011000 (Decimal value: 152)

- Ex. Subtraction: 10101011 – 010011 = 10011000 (Decimal value: 152)

Addition table:

0 | 1 | 10 | 11 | 100 | |

0 | 0 | 1 | 10 | 11 | 100 |

1 | 1 | 10 | 11 | 100 | 101 |

10 | 10 | 11 | 100 | 101 | 110 |

11 | 11 | 100 | 101 | 110 | 111 |

100 | 100 | 101 | 110 | 111 | 1000 |

### Binary to decimal tab

- Designed to convert binary values to decimal values according to the following rule: The bits or digits in the binary number are taken one by one starting with the left most, the significant one. Beginning with one, each prior value needs to be doubled and added to the next digit to produce the next value.

- Ex. 1100001110 to 782

### Decimal to binary tab

- Designed to convert binary values to decimal values according to the following rule: The number from a base 10 integer is divided by two and the remainder is the least significant bit. The integer is consequently divided by two and it is discovered the next least significant bit. The division by two sequence is repeated until the quotient becomes zero.

- Ex. 145 to 10010001

### The binary numbers

What it is important to remember is that the binary system is a numerical system that uses only 0 and 1 to represent any value. Binary system is also the same with base 2 numeral system. It is implemented in the computers systems and uses just two different symbols: 0 and 1. Each digit in binary numbers is also referred to as a bit. Any decimal number can be represented as a sequence of 0 and 1 digit, therefore a sequence of bits. The most common binary calculations are:

- binary addition

- binary subtraction

- binary multiplication

- binary conversion to decimal or the reverse.

27 Mar, 2015