Base conversion — convert hexadecimal 16₁₆ to its decimal value. Choose the correct decimal equivalent of the hex number 0x16.

Introduction / Context:Hexadecimal numbers use base 16 with digits 0–9 and A–F (10–15). Converting a two-digit hex number to decimal reinforces positional weights of 16^1 and 16^0.

Given Data / Assumptions:

• Hex value: 16₁₆ (digits 1 and 6)
• Weights: 16^1 and 16^0

Concept / Approach:Expand by positional weights: value = 116^1 + 616^0 = 16 + 6 = 22. Append the base “10” subscript style in the choices as provided (2210).

Step-by-Step Solution:

Verification / Alternative check:Convert to binary first: 0x16 = 0001 0110₂. Binary 00010110₂ = 16 + 4 + 2 = 22₁₀, confirming the same result.

Why Other Options Are Wrong:

• 1610, 2010, 2410: incorrect arithmetic of the hex digits.
• 1010: equals decimal 10, unrelated.

Common Pitfalls:

• Confusing the string “16” with the base; here “16” is the hex value, not the base indicator.

Final Answer:2210