Convert OnlineConvertOnline

Octal to Decimal



This converter converts the given octal number to decimal number.

Octal to Decimal

Octal to decimal conversion is the process of converting an octal (base-8) number into its decimal (base-10) representation.

In the octal system, numbers are represented using the digits 0 through 7.

Steps to Convert Octal to Decimal

Here are the steps to convert an octal number to decimal:

  1. Assign decimal values to each octal digit (0-7).
  2. Multiply each digit by 8 raised to the power of its position (starting from the right, with the rightmost digit at position 0).
  3. Sum up all the results to get the final decimal equivalent.

Example

Let's take an example to illustrate the process. Suppose we want to convert the octal number 345 to decimal:

  1. Convert each octal digit to its decimal value: 3 octal is 3 decimal, 4 octal is 4 decimal, and 5 octal is 5 decimal.
  2. Multiply each digit by 8 raised to the power of its position: 3 × 82 + 4 × 81 + 5 × 80.
  3. Sum up the results: 3 × 64 + 4 × 8 + 5 × 1 = 192 + 32 + 5 = 229.

The decimal equivalent is 229.

Therefore, 345 in octal is equal to 229 in decimal.