Hexadecimal to decimal conversion What is the decimal (base-10) value of the hexadecimal number E16?

Difficulty: Easy

Correct Answer: 14

Explanation:


Introduction / Context:
Hexadecimal (base-16) digits map to decimal values 0–15. Converting single hex digits to decimal is a routine skill used in addressing, color codes, and low-level programming. The digit E in hex corresponds to a specific decimal value.


Given Data / Assumptions:

  • Hex digits: 0–9 map to 0–9; A–F map to 10–15.
  • E is the 14th value when counting from zero.


Concept / Approach:
Since E is a single hex digit, its decimal value is simply the mapping for E. No positional weighting is necessary beyond one digit (i.e., 16^0 = 1).


Step-by-Step Solution:
Recall mapping: A=10, B=11, C=12, D=13, E=14, F=15.Therefore, E16 = 14 in decimal.


Verification / Alternative check:
Check a standard hex table or compute using Unicode/ASCII hex conversion guides used in programming references.


Why Other Options Are Wrong:

  • 12, 13, 15: Neighboring values for C, D, and F, but not E.


Common Pitfalls:

  • Off-by-one errors when counting hex digits.
  • Confusing letter case (e/E) which does not affect numeric value.


Final Answer:
14

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