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.
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 decimalIf you do not understand the above, 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 80.
Powers can be easily calculated with our power calculatorThe 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
378 = 3×81+7×80 = 24+7 = 31
Example 2: converting 7014 from octal decimal
70148 = 7×83+0×82+1×81+4×80= 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 decimalyou can resort 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:
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:
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 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 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 decimalPress 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.