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

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