UGC NET Questions (Paper – 1)

The hex system uses base 16 with digits 0–9 and A–F representing values 10–15. The binary number 1101₂ equals 1×8 + 1×4 + 0×2 + 1×1 = 13 in decimal. In hexadecimal, the value 13 is denoted by the digit D. Therefore, 1101₂ corresponds to hex digit D.

Option A:
Option A correctly interprets 1101₂ as decimal 13 and maps this to D in hexadecimal. The mapping is standard in computer architecture and digital electronics, making D the correct hex representation.

Option B:
Option B, B, represents decimal 11, which would correspond to the binary pattern 1011₂, not 1101₂. Therefore, it mismatches the underlying value.

Option C:
Option C, C, stands for decimal 12 and is associated with binary 1100₂. It differs from 1101₂ in the least significant bit, so it cannot be correct.

Option D:
Option D, E, denotes decimal 14, which would be binary 1110₂. This has a different bit pattern from 1101₂ and thus does not represent the same value.