Fraction in base-4 – UGC NET Question

In base-4, the first digit after the point has weight 4⁻¹ = 1/4, so 0.3₄ = 3×(1/4) = 3/4 = 0.75.

Option A:
Option A correctly uses fractional place weight 1/4 and multiplies by 3 to get 0.75.

Option B:
Option B would match 0.2₄.

Option C:
Option C would match 0.1₄.

Option D:
Option D does not equal 3/4 and is not the value of 0.3₄.