Decimal from base-6 number – UGC NET Question

For 452₆: 4×6² + 5×6¹ + 2×6⁰ = 4×36 + 5×6 + 2 = 144 + 30 + 2 = 176. Therefore, the decimal equivalent is 176.

Option A:
Option A correctly applies base-6 positional weights and sums to 176.

Option B:
Option B (166) is too small and indicates an error in weighting or addition.

Option C:
Option C (182) is too large and would require extra value not present in the numeral.

Option D:
Option D (174) is slightly low and results from incorrect arithmetic.