Difficulty: Easy
Correct Answer: CF₁₆
Explanation:
Introduction / Context:
Binary-to-hex conversion is efficient because one hex digit corresponds to exactly 4 binary bits. Group the bits into nibbles from the left and map directly.
Given Data / Assumptions:
Concept / Approach:
Split into nibbles: 1100 and 1111. Convert each nibble to its hex digit and concatenate.
Step-by-Step Solution:
Verification / Alternative check:
Convert back: C(12)*16 + F(15) = 192 + 15 = 207, and 11001111₂ = 128+64+15 = 207.
Why Other Options Are Wrong:
Common Pitfalls:
Grouping from the right with wrong alignment, or confusing 1100 (C) with 1000 (8).
Final Answer:
CF₁₆
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