#### RESULTS

The binary to decimal converter is a very useful tool to convert binary numbers to decimal numbers. It can be used to convert binary to number and binary to integer as well. Binary numbers have a lot of importance in the computer science field. They are used heavily in computer engineering, programming, and digital decoding. The above converter eases the life of programmers, engineers, and students by offering the conversion process at one click.

In this post, we will explain how to use our binary to decimal converter, how to convert binary to decimal, and binary to decimal chart.

## How to use our binary to decimal Converter?

Binary conversion to decimal number system can be carried out by using the above converter. To use binary number converter, follow the below steps.

- Enter the binary number in the given input box.
- Press the
**Calculate**button to see the converted output.

As soon as you press the **Calculate **button, it will perform binary to decimal conversion and give you the result in a decimal number, hex number, decimal from signed 2's complement, and detailed decimal calculation as well. It will illustrate the whole process of conversion so that students can learn the conversion technique apart from getting plain conversions. You can also use decimal to binary converter to test the output from the above converter.

## How to convert Binary to Decimal?

The position method can be used to convert the binary number to a decimal number. To convert binary to decimal might be a complicated task, but binary to decimal calculator makes this process simpler. Follow these steps to convert the binary numbers into decimals.

- Write the binary number on the page you want to convert.
- The conversion from binary to decimal is done from the right side of the binary string. The first digit has position 0, second has 1, and so on, starting from the right. Multiply each digit by 2 and raise the position of the digit to the power of 2.
- After the second step, add all numbers in this last step. After adding the numbers, you will get the decimal number.

### Example:

Convert **(1011) _{2}** to decimal number.

Write the binary number (1011)**Step 1**:_{2 }on paper and categorize the positions of each digit in a binary number. It will have a minimum of 3 positions beginning with 0 because it is 4 digit binary number.

Multiply each number with base 2 and use the number of positions to raise the power on base 2 like below.**Step 2**:

(1 × 2 ^{3}) + (0 × 2 ^{2}) + (1 × 2 ^{1}) + (1 × 2 ^{0})

Perform arithmetic operations and calculate the final value.**Step 3**:

(1 × 8) + (0 × 4) + (1 × 2) + (1 × 1) = 8 + 0 + 2 + 1 = 11

So, the binary number (1011)_{2} is equal to (11)_{10 }in the decimal number system.

**(1011) _{2} = (11)_{10}**

## Binary to Decimal table

Below is the binary to the decimal conversion table.

Binary Value | Decimal Value |

0000 | 0 |

0001 | 1 |

0010 | 2 |

0011 | 3 |

0100 | 4 |

0101 | 5 |

0110 | 6 |

0111 | 7 |

1000 | 8 |

1001 | 9 |

1010 | 10 |

1011 | 11 |

1100 | 12 |

1101 | 13 |

1110 | 14 |

1111 | 15 |