Binary to hexadecimal conversion Convert the 8-bit binary value 11001111 to hexadecimal.

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:

  • Binary: 11001111.
  • Nibble mapping: 0000→0 … 1100→C, 1111→F.


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:

  • 8F₁₆ / CE₁₆ / DF₁₆: One or both nibbles are mapped incorrectly.


Common Pitfalls:
Grouping from the right with wrong alignment, or confusing 1100 (C) with 1000 (8).


Final Answer:
CF₁₆

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