8DC Hex in Decimal

Let's convert the hexadecimal number 8DC to decimal without using a calculator:

Step 1: Write Down Powers of 16

Write down the powers of 16 starting from the right, with the first digit corresponding to 16⁰, the second to 16¹, the third to 16², and so on.

Step 2: Convert Hexadecimal Digits to Decimal

Convert each hexadecimal digit to its decimal equivalent:

8₁₆ = 8₁₀

D₁₆ = 13₁₀

C₁₆ = 12₁₀

Step 3: Multiply and Sum

Multiply each hexadecimal digit by its corresponding power of 16 and sum the results.

(8 × 256) + (13 × 16) + (12 × 1) = 2048 + 208 + 12 = 2268

So, the decimal representation of the hexadecimal number 8DC is 2268.

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