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:
1) 1100₂ = 12 → C.2) 1111₂ = 15 → F.3) Combine: CF₁₆.4) Confirm width: 8 bits equals 2 hex digits.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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