answersLogoWhite

0

There are four main number systems in the world: the binary system, the octal system, the decimal system and the hexadecimal system. Since this article deals with 'octal to decimal: how to convert', we will discuss these two systems first before we proceed to the octal number system conversion to decimal.

Decimal and Octal Number System

Everyone knows the decimal number system. It is the main number system we use today, and has 10 discrete digits from 0 to 9. The octal system on the other hand has only 8 digits (hence the name octal). The numbers in an octal system are only from 0-7. That means, there is no 8 and 9 in a normal octal system.

Now, while the decimal system is the most commonly used number system for most of the counting that we have to do, where is the octal system used? The octal system is used mainly in computer programming languages. There is a relationship between the octal and the binary system, which makes it very useful while programming computers. It is also often used in place of the hexadecimal system (16 digits), as it has fewer digits.

Octal to Decimal: How to Convert

Octal to decimal conversion is one of the most commonly taught problem solving exercises in computer basics. So is there an octal to decimal formula? Yes, an octal number can be converted to a decimal number using the following formula:

Decimal Form = Ʃ(ai x 8i)

In this formula, 'a' is the individual digit being converted, while 'i' is the number of the digit counting from the right-most digit in the number, the right-most digit starting with 0.

For example:

Convert (765)8 into decimal:

(765)8 = (7 x 82) + (6 x 81) + (5 x 80)

= (7 x 64) + (6 x 8) + (5 x 1)

= 448 + 48 + 5

= 501

Hence (765)8 = (501)10

We'll take one more example with a four digit number:

Convert (1336)8 to decimal:

(1336)8 = (1 x 83) + (3 x 82) + (3 x 81) + (6 x 80)

= (1 x 512) + (3 x 64) + (3 x 8) + (6 x 1)

= 512 + 192 + 24 + 6

= 734

Thus (1336)8 = (734)10

To convert an octal number to decimal, write out the number to be converted, placing each digitunder the proper position

Example:

Next, multiply the decimal equivalent by the corresponding digit of the octal number; then, add thiscolumn of figures for the final solution:

Solution: 7438 is equal to 4831

Now follow the conversion of 265258 to decimal:

Solution: 11,60510 is the decimal equivalent of 26,5258To convert a fraction or a mixed number, simply use the same procedure

User Avatar

Wiki User

14y ago

What else can I help you with?

Related Questions

Convert the decimal numbers 1987 to binary then to octal?

In binary this number is equivalent to 11111000011 while in octal it is 3703


How do you divide two octal numbers?

Probably simplest to convert them to decimal, divide, then convert back to octal. Unless there is a special reason want to avoid that approach.


Convert 110001100 into its decimal numbers?

The answer depends on what you are converting from: binary, ternary, octal, hexadecimal ...


Convert hexadecimal noBB895C to octal and decimal?

Octal = 56704534 Decimal = 12290396


How do you multiply two octal no?

To multiply two octal numbers, first convert each octal number to decimal. Perform the multiplication in decimal, and then convert the result back to octal. Alternatively, you can multiply the numbers directly in octal by using the standard multiplication method, ensuring to carry over values when they exceed 7 (since octal only uses digits 0-7). Finally, combine the results appropriately to get the final product in octal.


Convert the haxadecimal number BB895C to octal and Decimal?

Octal: 56704534 Decimal: 12290396


Convert the hexadecimal number A45C to octal and decimal?

A45C: Decimal = 42076 Octal = 122134


Convert the hexadecimal number BB895C to octal and Decimal?

BB895C: Octal = 56704534 Decimal = 12290396


Convert 246.24 octal to decimal?

166 in decimal


How To Convert Decimal To Octal?

71


How you convert decimal number into octal equvalent?

(83)base10 to octal


How do you convert a octal fraction to a decimal fraction?

Convert the top (numerator) to decimal, and then convert the denominator to decimal. Octal fraction 15/26 is decimal (8+5) divided by decimal (16+6) = 13/22 decimal.