Hexadecimal to decimal — evaluate B5₁₆. Convert the hexadecimal number B5₁₆ to its decimal equivalent using positional weights.

Introduction / Context:Hexadecimal B5 uses digits B and 5, where B represents decimal 11. Converting to decimal leverages powers of 16 for each position (16^1, 16^0).

Given Data / Assumptions:

• Hex number: B5₁₆
• Digit values: B = 11, 5 = 5

Concept / Approach:Apply positional weights: value = (most significant digit)16^1 + (least significant digit)16^0, then sum to obtain the decimal result.

Step-by-Step Solution:

Verification / Alternative check:Convert to binary: B5₁₆ = 1011 0101₂. Evaluate 128 + 32 + 16 + 4 + 1 = 181₁₀, confirming the result.

Why Other Options Are Wrong:

• 212, 197, 165, 189: each reflects an incorrect weighting or digit value for B.

Common Pitfalls:

• Treating B as 12 or misplacing the digit weights by reversing the order.

Final Answer:181