Difficulty: Easy
Correct Answer: 170
Explanation:
Introduction / Context: Hexadecimal AA is a common test case because both digits are A, which equals 10 in decimal. Converting it correctly demonstrates comfort with base-16 positional arithmetic.Given Data / Assumptions:
Concept / Approach: Multiply each hex digit value by its positional weight and add. Since both digits are 10, the computation is straightforward: 1016 + 10.Step-by-Step Solution:
Evaluate high digit: 10 * 16 = 160.Evaluate low digit: 10 * 1 = 10.Sum: 160 + 10 = 170.Verification / Alternative check:
Binary check: AA_hex = 1010 1010₂ = 128 + 32 + 8 + 2 = 170.Why Other Options Are Wrong:
165: Would correspond to 0xA5 (1016 + 5).186: Would correspond roughly to 0xBA (1116 + 10).176: Would correspond to 0xB0 (1116 + 0).Common Pitfalls:
Confusing A (10) with decimal 11 or 12.Dropping the contribution of the least significant digit.Final Answer:
170
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