Binary of hex 9C – UGC NET Question

In hexadecimal, 9 corresponds to 1001₂ and C corresponds to 1100₂. Combining these 4-bit groups yields 1001 1100₂. Therefore, the binary equivalent of 9C₁₆ is 10011100₂.

Option A:
Option A, 10011010₂, would correspond to hex 9A₁₆, not 9C₁₆, because the last four bits represent 1010₂.

Option B:
Option B, 10010110₂, maps to hex 96₁₆, as the last group 0110₂ equals 6. It does not match C, which is 1100₂.

Option C:
Option C, 10011000₂, corresponds to hex 98₁₆, where the last group 1000₂ equals 8. This again differs from C.

Option D:
Option D is correct because 1001₂ for 9 and 1100₂ for C concatenate to 10011100₂. This is the standard grouping method for hex to binary conversion.