1003 octal to decimal

Here we will show you how to convert the octal number 1003 to a decimal number. First note that the octal number system has 8 different digits (base 8), while the decimal system has 10 different digits (base 10). The octal digits are 0 1 2 3 4 5 6 7.

To convert the octal number 1003 to decimal, you must follow these two easy steps:

Step 1) Multiply the last digit by 1, multiply the second to last digit by 8, multiply the third to last digit by 8 × 8, multiply the fourth to last digit by 8 × 8 × 8, multiply the fifth to last digit by 8 × 8 × 8 × 8, and so on, until all the digits are used.

Step 2) Add up all the products you got from Step 1 and you will get the final answer to 1003 octal in decimal.

Here is the math showing you how to convert 1003 octal to decimal using the steps above.

3 × 1 = 3
0 × 8 = 0
0 × 8 × 8 = 0
1 × 8 × 8 × 8 = 512

3 + 0 + 0 + 512 = 515

That's all there is to it. Here is the answer to 1003 octal in decimal:

515

Octal to Decimal Converter
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1004 octal to decimal
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