**Binary to decimal** it couldn't be easier with our online calculator. Simply enter the sequence of numbers in binary format, press the calculate button and you will get the equivalent in decimal format, the calculations performed to reach that result and its equivalent in hexadecimal format.

**Convert binary to decimal** is easier than ever before and, of course, we also have at your disposal a decimal to binary converter.

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## How to convert from binary to decimal

For **convert from binary to decimal** you have to perform the sum of the powers of two of 1's. For example, imagine that we want to convert the binary number 111001 to decimal. The following table shows the correspondence in powers of two that we have to use:

Binary number | 1 | 1 | 1 | 0 | 0 | 1 |
---|---|---|---|---|---|---|

Power of two | 2^{5} | 2^{4} | 2^{3} | 2^{2} | 2^{1} | 2^{0} |

We now perform the **sum of the powers** that corresponds to each "1" of the binary number that we want to convert to decimal and we obtain the following operation:

111001_{2} = 1-2^{5}+1-2^{4}+1-2^{3}+0-2^{2}+0-2^{1}+1-2^{0} = 57

As you can see, it is quite simple to go from binary to decimal, although thanks to our binary calculatoryou can do it automatically.

## How to convert binary to decimal in Excel

You can** use Excel to convert from binary to decimal** and create your own personal calculator to use whenever you need it.

The only thing you need to keep in mind is that the binary number you enter in the spreadsheet must be **cannot be longer than 10 characters**that is, 10 bits. If you exceed this amount, Excel will result in an error represented by #NUM!

If this limitation is not a problem for you, simply write the following formula to be able to use the function that allows you to** convert from binary to decimal in Excel**:

=BIN.A.DEC(C3)

Remember that C3 are the coordinates of the cell where the binary number you want to convert to decimal is located. If you have chosen another cell in your spreadsheet, you will have to change them.

If you prefer, you can also write the binary number directly between the parentheses to perform the **binary to decimal conversion**. In this case, you should write a formula similar to this one:

=BIN.A.DEC(110)

If you have any doubts about how Excel is used to perform this conversion, you can watch the video we have recorded and in which we make several demonstrative examples and if you still have doubts, leave us a comment and we will try to help you as soon as possible.

## Binary to Decimal Calculator

Do you know that you can go from **binary to decimal** using a scientific calculator? Not all of them work, but for several years now, the main calculator manufacturers have been allowing conversions between different number systems.

To explain how to use the **binary calculator**We are going to use one of the Casio brand like the one you have in the picture, although as I said, for several years there are many compatible models and the procedure is similar in all of them.

Here's what you have to do to use the **calculator to convert from binary to decimal**:

- Press the "Mode Setup" or "Menu Config" key, which is usually located in the upper right corner of the calculator.
- From all the available options, select the one marked "Base-N".
- Now locate the key with the letters "BIN" written on the top. On the calculator in the picture you can see it on the last row of buttons.
- Type the binary number you want to convert to decimal.
- Press the equals key (=)
- Finally, press the button with the letters "DEC" written above it. This key is usually in the same row as the "BIN" key you pressed in step 3.

If all has gone well, the calculator will have made the change from binary to decimal without operations and instantaneously.

## Binary to decimal table

Below is a table with some of them** binary to decimal conversions** most commonly used during the learning process of both number systems. If you wish, you can print it to have it always at hand and familiarize yourself with the change from base 2 to base 10.

Binary | Decimal |
---|---|

0 | 0 |

1 | 1 |

10 | 2 |

11 | 3 |

100 | 4 |

101 | 5 |

110 | 6 |

111 | 7 |

1000 | 8 |

1001 | 9 |

1010 | 10 |

1011 | 11 |

1100 | 12 |

1101 | 13 |

1110 | 14 |

1111 | 15 |

10000 | 16 |

100000 | 32 |

1000000 | 64 |

10000000 | 128 |

100000000 | 256 |

## How the binary to decimal converter works

We have posted a video on our YouTube channel to learn how the binary to decimal converter works. In this video, we propose several practical examples in which **we convert several numbers in binary format to decimal format** to see the result provided by the tool, a utility that will save you a lot of time in your changes from one numeric system to another.

If you have found the tool useful, we would appreciate if you share it in your social networks or subscribe to ours, it is the way to show us that our work has helped you. It will only take you a few seconds and it will help us a lot to keep improving day after day.

Useful page, excellent content.