Hex of binary 111100 – UGC NET Question

To convert 111100₂ to hexadecimal, we group the binary digits into sets of four from the right. Padding on the left gives 0011 1100. The left group 0011₂ equals 3 and the right group 1100₂ equals 12, represented as C in hex. Therefore, the hexadecimal equivalent is 3C₁₆.

Option A:
Option A, 2C₁₆, would correspond to binary 0010 1100, which is different from 111100₂. The leading group 0010₂ equals 2, not 3, so this option does not match.

Option B:
Option B, 2F₁₆, converts to 0010 1111₂, which differs from 111100₂ both in the leading bits and the trailing pattern. Thus it cannot represent the given binary number.

Option C:
Option C is correct because grouping 111100₂ as 0011 1100₂ gives hex digits 3 and C. This matches the exact structure and value of the original binary pattern.

Option D:
Option D, 3F₁₆, corresponds to 0011 1111₂, which has an extra 1 at the least significant position. That would represent 63 in decimal instead of the 60 represented by 111100₂.