Decimal value of hex 4D2 – UGC NET Question

The hexadecimal number 4D2₁₆ expands as 4×16² + 13×16¹ + 2×16⁰. This equals 4×256 + 13×16 + 2, which is 1024 + 208 + 2. Adding these gives 1234 in decimal. Thus, 1234 is the exact decimal equivalent of 4D2₁₆. Therefore, option A is correct.

Option A:
Option A directly states 1234, which matches the value obtained from the base 16 place value expansion of 4D2₁₆. Because the calculation and the option coincide, this must be the correct choice.

Option B:
Option B gives a decimal number that is slightly larger than 1234 and would arise from a different hexadecimal combination. Since it does not equal the computed expansion of 4D2₁₆, it is not correct.

Option C:
Option C corresponds to a different and smaller decimal value than 1234 that would come from another hex number. Its use would imply a different set of coefficients for powers of 16. Therefore, it is not the decimal value of 4D2₁₆.

Option D:
Option D also represents a value incompatible with the expansion of 4D2₁₆ and is larger than 1234. Because it does not match the computed decimal value, it cannot be correct.