# Wikihow coverage from octal to decimal

## Convert octal number to decimal number

You probably disagree when someone claims that 777 has the same value as 511. However, this statement may be correct if the same number is represented in different number systems, in this case the octal system and the decimal system. For example, if you enter 777 as the octal number in the calculator, the result will be exactly 511. As soon as the numerical value seven is exceeded, numbers appear larger in their representation in the octal system than in a representation in the decimal system. If a number has digit values above 7, e.g. 8 or 9, it cannot be a number in the octal system, as only the eight digit values 0 to 7 occur here. In order to avoid misunderstandings as to which number system a number is represented in, the base of the relevant place value system can be specified as a subscript number after the actual number. The base of the octal system is eight and that of the decimal system is ten.

The number 6_{8} and the number 6_{10} have the same value, namely the value 6, like half a dozen. But it looks different at 10_{8} and 10_{10}. If you enter "10" as an octal number into the calculator, the result will be 8 in the decimal system. Would you like to calculate how 10_{10} is displayed in the octal system, you can select the appropriate settings with the converter for decimal numbers or use our calculator, with which you can convert common place value systems into one another.

In the case of a number with more than one digit, the position value is also used in addition to the numerical values. Because the total value of a number is the sum of the respective products of the digit value and position value of all positions. The position values of the same place in a number are different for each place value system, with the exception of the position on the far right. More precisely, they are each potencies of the base. With the decimal system, the position values are therefore 10^{0}, 10^{1},10^{2},10^{3},10^{4},10^{5} etc. In the octal system the powers are 8 accordingly^{0}, 8^{1}, 8^{2}, 8^{3}, 8^{4}, 8^{5} Calculated in the decimal system, the position values are 1, 10, 100, 1000, 10,000, 100,000, etc. For the octal system, expressed in the decimal system, the position values are also 1, but then followed by 8, 64, 512, 4096 , 32768 etc. If you are interested, you can calculate further powers of the base yourself.

Since the octal system can represent numbers from zero to seven in one digit, and this also corresponds exactly to the number range of a three-digit binary number, the octal system was used in information technology for a more compact notation. The hexadecimal system is even more practical than the octal system, as a four-digit binary number can be represented here with one digit. The typical word lengths are often a multiple of four and not three, so the octal system is becoming less and less important. Although the hexadecimal system needs letters as numerical values in addition to Arabic numerals, this is usually not a problem. If you want to convert a hexadecimal number into a decimal number, you can use this system-to-ten converter. There is also the binary to decimal converter.

You can find out how to pronounce large numbers for the decimal system in the table with the written names of the powers of ten that are important for naming. If you are unsure what the powers in between are called or want to make sure that the position values of the figure-of-eight are correctly pronounced, you can display the full name of any number. In addition to other calculation options, we have compiled further information on ranking systems.

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