Decimal of hex 2A – UGC NET Question

In 2A₁₆, the digit 2 is in the 16's place and A represents 10 in decimal. The value is 2×16 + 10×1, which equals 32 + 10 = 42. Hence, the decimal equivalent of 2A is 42.

Option A:
Option A, 32, accounts only for the 2×16 part and ignores the contribution from the A digit. This underestimates the actual value.

Option B:
Option B, 36, does not match the required sum of 32 and 10. It would correspond to a different combination of hex digits.

Option C:
Option C, 40, is again smaller than 42 and would require a different remainder term. It does not reflect the mapping of A to 10.

Option D:
Option D is correct because the computation 2×16 + 10 gives exactly 42. This aligns with the standard interpretation of hexadecimal digits.