2117 Octal in Decimal

Let's convert the octal number 2117 to decimal without using a calculator:

Step 1: Write Down Powers of 8

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.

Step 2: Convert Each Octal Digit to Decimal

Convert each octal digit to its decimal equivalent:

2₈ = 2₁₀

1₈ = 1₁₀

7₈ = 7₁₀

Step 3: Multiply and Sum

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

(2 × 512) + (1 × 64) + (1 × 8) + (7 × 1) = 1024 + 64 + 8 + 7 = 1103

So, the decimal representation of the octal number 2117 is 1103.

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