Decimal of base-3 number – UGC NET Question

For 2101₃: 2×3³ + 1×3² + 0×3¹ + 1×3⁰ = 2×27 + 1×9 + 0 + 1 = 54 + 9 + 1 = 64.

Option A:
Option A correctly applies base-3 place values (27, 9, 3, 1) and sums to 64.

Option B:
Option B (58) is too small and indicates an arithmetic or weighting error.

Option C:
Option C (70) is too large and would need extra contribution not present in 2101₃.

Option D:
Option D (55) is also too small and corresponds to a different base-3 numeral.