Binary-to-hexadecimal translation: What is the hexadecimal equivalent of the 8-bit binary pattern 1011 1111?

Introduction / Context: Translating binary to hexadecimal is a quick way to express long bit strings more compactly. The conversion is exact and relies on 4-bit groupings, because each hex digit corresponds to a binary nibble. This is commonly used in datasheets, debuggers, and memory dumps.

Given Data / Assumptions:

• Binary pattern: 1011 1111.
• We assume big-end nibble grouping from the left as shown.
• Hexadecimal uses digits 0–9 and A–F.

Concept / Approach: Group the bits into nibbles: 1011 and 1111. Convert each nibble to its hex digit: 1011 = B (decimal 11), 1111 = F (decimal 15). Combine digits to form the hex value BF. The provided option includes a base annotation “16” as BF16, which is acceptable as a notation for base 16.

Step-by-Step Solution:

Verification / Alternative check: Convert BF16 back to binary: B = 1011, F = 1111, which reconstructs 1011 1111 exactly.

Why Other Options Are Wrong: FB16 reverses nibble order; 27716 expresses an octal-like form and is unrelated; 10111111 is simply the original binary, not a hex conversion.

Common Pitfalls: Swapping nibble order; misreading 1111 as E instead of F; ignoring the space that separates nibbles for readability only.

Final Answer: BF16