4253 Octal in Decimal

Let's convert the octal number 4253 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

28 = 210

58 = 510

38 = 310

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

(4 × 512) + (2 × 64) + (5 × 8) + (3 × 1) = 2048 + 128 + 40 + 3 = 2219