Hexadecimal digits — precise definition of symbols: Assess the statement: “The hexadecimal number system consists of 16 digits, 0–15.” Clarify what the digits actually are in base-16.

Difficulty: Easy

Correct Answer: Incorrect (hex digits are 0–9 and A–F)

Explanation:


Introduction / Context:
Hexadecimal (base-16) is favored because each hex digit maps neatly to four binary bits. Precision in naming the symbols matters for coding, displays, and documentation.


Given Data / Assumptions:

  • Base-16 requires sixteen unique digit symbols.
  • Their numeric values range from 0 to 15.
  • Standard symbols are used in hardware/software tooling.


Concept / Approach:
Hex uses the symbols 0–9 for values 0 through 9 and the letters A, B, C, D, E, F for values 10 through 15. Saying “digits 0–15” conflates digit symbols with their numeric values. The claim is therefore imprecise and, strictly speaking, incorrect in standard terminology.


Step-by-Step Solution:
List symbols: {0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F}.Map values: A→10, …, F→15.Recognize that “0–15” are values, not the textual symbols themselves.Conclude the statement is incorrect as phrased.


Verification / Alternative check:
Programming languages and datasheets universally format hex with A–F as the six additional symbols beyond 0–9.


Why Other Options Are Wrong:
Calling it “correct” blurs symbol vs value; scientific notation and BCD are unrelated to hex digit definitions.


Common Pitfalls:
Writing “digit 15” instead of “F”; forgetting the one-to-one nibble (4-bit) mapping that motivates hex usage.


Final Answer:
Incorrect (hex digits are 0–9 and A–F)

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