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Octal to Decimal Converter

Octal to decimal conversion is the process of converting a number from the octal number system (base 8) to the decimal number system (base 10). The decimal number system uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Get the Octal to Decimal Converter at the bottom of the post.

To convert an octal number to decimal, you can follow these steps:

2. Identify the place value of each digit in the octal number, starting from the rightmost digit. The rightmost digit has a place value of 8^0 (which is 1), the next digit to the left has a place value of 8^1 (which is 8), the next digit has a place value of 8^2 (which is 64), and so on.
3. Multiply each digit of the octal number by its corresponding place value.
4. Add up the results of the multiplication from step 3 to get the decimal equivalent of the octal number.

Here’s an example to illustrate the process:

Let’s convert the octal number 753 to decimal.

Step 1: Write down the octal number 753.

Step 2: Identify the place value of each digit:

• The rightmost digit (3) has a place value of 8^0 = 1.
• The next digit (5) has a place value of 8^1 = 8.
• The leftmost digit (7) has a place value of 8^2 = 64.

Step 3: Multiply each digit by its place value: 3 * 1 = 3 5 * 8 = 40 7 * 64 = 448

Step 4: Add up the results: 3 + 40 + 448 = 491

Therefore, the octal number 753 is equivalent to the decimal number 491.

So, the decimal equivalent of the octal number 753 is 491.

Octal to Decimal Conversion

Octal to Decimal Conversion