3675 Octal in Decimal

Let's convert the octal number 3675 to decimal without using a calculator:

Write down the powers of 8 starting from the right, with the first digit corresponding to 8⁰, the second to 8¹, the third to 8², and so on.

Convert each octal digit to its decimal equivalent:

38 = 310

68 = 610

78 = 710

58 = 510

Multiply each octal digit by its corresponding power of 8 and sum the results.

(3 × 512) + (6 × 64) + (7 × 8) + (5 × 1) = 1536 + 384 + 56 + 5 = 1981