Decimal from mixed base expression – UGC NET Question

Evaluate: 3×2⁵ = 3×32 = 96, 1×2³ = 8, and 1×2¹ = 2. Total = 96 + 8 + 2 = 106. Therefore, the decimal value is 106.

Option A:
Option A is correct because the weighted sum evaluates exactly to 106.

Option B:
Option B (99) is too small and would result from missing part of the 2³ or 2¹ contribution.

Option C:
Option C (97) is also too small and would correspond to 96 + 1, not 96 + 8 + 2.

Option D:
Option D (101) is below the correct total and would require a different combination of terms.