Decimal of hex 7B – UGC NET Question

For 7B₁₆, the digit 7 is in the 16's place and B represents 11 in decimal. The value is 7×16 + 11×1. Calculating 7×16 gives 112 and adding 11 yields 123. Thus, the decimal equivalent of 7B is 123.

Option A:
Option A, 115, would result from a different combination of hex digits such as 73₁₆. It does not agree with the correct weighted sum for 7B.

Option B:
Option B, 119, is smaller than 123 and would require less contribution from either the 16's place or the units place. The digits 7 and B fix those contributions.

Option C:
Option C, 121, is close but still two less than 123, indicating a miscalculation. Accurate computation shows the total is 123, not 121.

Option D:
Option D is correct because 7×16 + 11 = 112 + 11 = 123. This is a direct application of hex place values to obtain the decimal result.