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.

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)