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The largest three-digit number in base sixteen (hexadecimal) is FFF. In hexadecimal, F represents the decimal value of 15, so FFF in decimal is calculated as (15 \times 16^2 + 15 \times 16^1 + 15 \times 16^0), which equals 4095. Therefore, FFF is the maximum value that can be represented with three hexadecimal digits.

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