Decimal from hex 16D – UGC NET Question

The hex number 16D₁₆ has digits 1, 6, and D. Using positional weights, we compute 1×16² + 6×16¹ + 13×16⁰ = 1×256 + 6×16 + 13×1 = 256 + 96 + 13 = 365. Therefore, 16D₁₆ equals 365 in decimal.

Option A:
Option A correctly interprets D as 13 and applies the weights 256, 16, and 1. The sum 256 + 96 + 13 yields 365, matching the result of a proper base-16 to base-10 conversion.

Option B:
Option B, 349, represents a different combination of digit values and weights and does not equal the computed sum of 1×256 + 6×16 + 13. It indicates an arithmetic or mapping error.

Option C:
Option C, 269, underestimates the value and would imply lower contributions from the hex digits than they actually have. It does not correspond to the given pattern.

Option D:
Option D, 285, neither matches the correct total nor any plausible misinterpretation that preserves digit order while using appropriate weights.