3742 Octal in Decimal

Let's convert the octal number 3742 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

78 = 710

48 = 410

28 = 210

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

(3 × 512) + (7 × 64) + (4 × 8) + (2 × 1) = 1536 + 448 + 32 + 2 = 2018