Hexadecimal Digits A to F — Decimal Equivalents In hexadecimal notation, the letters A through F correspond to which consecutive decimal values?

Difficulty: Easy

Correct Answer: 10 through 15

Explanation:


Introduction / Context:
Hexadecimal extends decimal digits with letters to represent values ten through fifteen. Knowing these mappings is essential for fast mental conversions and interpreting hex dumps or color codes.


Given Data / Assumptions:

  • Base 16 uses symbols 0..9 and A..F.
  • Each hex digit represents a 4-bit nibble in binary.
  • Letter mapping is standard across computing.


Concept / Approach:
Assign A=10, B=11, C=12, D=13, E=14, F=15. This preserves increasing order and provides a compact single digit notation for values beyond 9.


Step-by-Step Solution:
1) List the mapping explicitly: A=10, B=11, C=12, D=13, E=14, F=15.2) Observe that these are consecutive decimal numbers.3) Therefore the correct range description is 10 through 15.


Verification / Alternative check:
Confirm by checking binary correspondence: for example, F=1111 equals 15 decimal, E=1110 equals 14 decimal, and so on.


Why Other Options Are Wrong:

  • 1 through 6: Off by a factor of 9 and not consistent with hex usage.
  • 9 through 14: Starts too low and ends too low.
  • 11 through 17: Not aligned with base 16 digits, which stop at 15.


Common Pitfalls:
Assuming F could mean 16; remember single hex digits only span 0 to 15 inclusive.


Final Answer:
10 through 15

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