UGC NET Questions (Paper – 1)

In hexadecimal, the digit F represents decimal value 15. The binary representation of 15 uses four bits all set to 1, because 15 = 8 + 4 + 2 + 1. Therefore, the correct 4-bit binary equivalent of F is 1111₂.

Option A:
Option A, 1101₂, equals 8 + 4 + 0 + 1 = 13, which is less than 15. It does not fully represent the hex digit F.

Option B:
Option B, 1110₂, equals 8 + 4 + 2 + 0 = 14. It is still smaller than 15 and misses the 1's place value.

Option C:
Option C, 1100₂, sums to 8 + 4 = 12 and is even further from 15. It lacks both the 2's and 1's contributions.

Option D:
Option D is correct because 1111₂ sums all four available place values 8, 4, 2 and 1, giving 15. This exactly matches the value of F in hexadecimal.