7536 Octal in Decimal

Let's convert the octal number 7536 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:

78 = 710

58 = 510

38 = 310

68 = 610

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

(7 × 512) + (5 × 64) + (3 × 8) + (6 × 1) = 3584 + 320 + 24 + 6 = 3934