Converts any number of **octal to decimal** with our online calculator. To do this, enter the number whose equivalence you want to know in decimal format and press the calculate button.

If you wish, we also have at your disposal a decimal to octal converter.

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## How to convert from octal to decimal

The octal system is called octal because it works in base 8 and **has a total of eight symbols** ranging from 0 to 7.

If we want to** convert from octal to decimal**, we must take into account the above to understand the process, although you will see that it is very easy.

For **convert from octal to decimal** you simply have to take the octal number from right to left and assign to each one the power in base eight that corresponds to it, being the first of all 8^{0}.

Powers can be easily calculated with our exponents calculator.The sum of all the terms will give you the result of the decimal number you are looking for. The sum of all the terms will give you the decimal number you are looking for.

If you are not very clear about **how to convert from octal to decimal** Based on this explanation, here are some practical examples that will help you understand it much better.

## Examples of octal to decimal

Here are some examples that will help you to understand the calculations required for **convert from octal to decimal**:

**Example 1: converting 37 from octal to decimal**

37_{8} = 3×8^{1}+7×8^{0} = 24+7 = 31

**Example 2: converting 7014 from octal decimal**

7014_{8} = 7×8^{3}+0×8^{2}+1×8^{1}+4×8^{0}= 3584+0+8+4 = 3596

If you have any questions, our **octal to decimal calculator** also shows you the calculations needed to arrive at the corresponding decimal number.

## Conversion from octal to decimal with Excel

If you prefer to make your own **calculator to convert from octal to decimal**, you can go to Excel to get it. Microsoft's program incorporates a function to obtain the equivalence although it has some limitations.

For example, Excel is not able to convert a number that has more than 10 octal characters (30 bits). Of those 30 bits, the most significant is the sign bit while the remaining 29 are magnitude bits.

To make the **octal to decimal conversion** using Excel, we simply have to type the following formula in an empty cell:

=OCT2DEC()

In parentheses we can write the number **octal** or refer to another cell in which that number is written.

For example, if we want to **convert octal number to decimal** 3456, we write the formula in this form:

=OCT2DEC(3456)

And Excel returns that the equivalent decimal number is 1838.

## Octal to decimal equivalence table

Below you will find a table of equivalence of **octal to decimal** in which you can clearly see some of the concepts that we have seen in the previous points.

As you can see, the correspondence between octal and decimal up to the number 7 is the same. However, as the octal system has only 8 symbols (from 0 to 7), when exceeding seven we have to resort to using two symbols.

Octal | Decimal |
---|---|

0 | 0 |

1 | 1 |

2 | 2 |

3 | 3 |

4 | 4 |

5 | 5 |

6 | 6 |

7 | 7 |

10 | 8 |

11 | 9 |

12 | 10 |

13 | 11 |

14 | 12 |

15 | 13 |

16 | 14 |

17 | 15 |

20 | 16 |

## Octal to Decimal Calculator

If you work with number systems such as octal, you probably have a scientific calculator in your possession. If it's relatively new, you can probably use it for **convert from octal to decimal**.

We** will use a Casio scientific calculator** to explain how the conversion is done step by step:

- The first thing to do is to locate the "MODE SETUP" or "MENU CONFIG" key at the top. It is usually located on the upper right hand side.
- After pressing it, you will enter the calculator menu and several options will appear on the screen. You have to select the option that says "Base-N".
- Next we have to tell the calculator that we are going to write a number in octal system. To do this, press the key with the letters "OCT" at the top. In the calculator in the photo you can see this key on the last row of buttons.
- Type the octal number you want to convert to decimal
- Press the equal key (=).
- To make the
**conversion to octal to decimal**, press the key with "DEC" written on top of it. This key is in the same row as the button in step 3.

If you've done it right, you'll have gone from **octal to decimal** with the calculator.

And what would be done in case there is a comma and you want to change from octal to decimal, for example the number: 43.25?

Hello William,

If you want to convert from octal to decimal the number you are talking about, you only have to follow the process described in the web.

Watch:

43,25(

_{8}) = 4×8^{1}+ 3×8^{0}+ 2×8^{-1}+ 5×8^{-2}And what you get from that sum will be the fractional octal number converted to decimal.

Greetings!

Very good, you helped me a lot

Thank you

Thanks for your comment Bated, if you need help to make the change from octal to decimal or any other numeric system let us know.

Greetings!

I have a doubt with this octal 767.54 how do I convert it to decimal?

Hi Daniel, just that question was asked by William so we answered it a few comments above. If you still don't know how to pass that octal number with comma to decimal, tell us where you got stuck and we will help you.

I need to convert the octal number 156 to decimal. Could you tell me how to get to that number?

Hello "Laura García Baidez" to convert the number 156 to decimal you must do the following:

You must multiply each digit of the octal number by 8 and power it by the corresponding number. To know which is the corresponding number you have to do this: if the octal number has 3 digits you are going to start boosting by 2, then by 1 and then by 0 and so on, another example is that if an octal number has for example 5 digits you have to start boosting from a number less than the amount of digits that the number has, in this case the number less than 5 in an orderly way is 4 and from there you go down until you always reach 0.

156= 1×8^2 + 5×8^1 + 6×8^0= 110

Please help me

I also need to convert the number 195 to hexadecimal and the explanation of how to get to it.