4037 Octal in Decimal

Let's convert the octal number 4037 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:

48 = 410

08 = 010

38 = 310

78 = 710

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

(4 × 512) + (0 × 64) + (3 × 8) + (7 × 1) = 2048 + 0 + 24 + 7 = 2079