8AE Hex in Decimal

Let's convert the hexadecimal number 8AE 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

A₁₆ = 10₁₀

E₁₆ = 14₁₀

Step 3: Multiply and Sum

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

(8 × 256) + (10 × 16) + (14 × 1) = 2048 + 160 + 14 = 2222

So, the decimal representation of the hexadecimal number 8AE is 2222.

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