UGC NET Questions (Paper – 1)

To convert 255 to hexadecimal, we divide by 16 and track remainders. Dividing 255 by 16 gives a quotient of 15 and remainder 15. In hexadecimal, 15 is represented by the digit F, so both the high and low digits are F. Hence, 255 in decimal is written as FF in hexadecimal.

Option A:
Option A, FF, corresponds to 15×16^1 + 15×16^0. This equals 240 + 15 = 255. The calculation exactly matches the given decimal number, so this is the correct hexadecimal representation.

Option B:
Option B, F0, represents 15×16^1 + 0×16^0. That equals 240 + 0 = 240. Since 240 is less than 255, F0 does not correspond to the target decimal value.

Option C:
Option C, FE, corresponds to 15×16^1 + 14×16^0. The value is 240 + 14 = 254. This is one less than 255, so FE is close but not equal to the required number.

Option D:
Option D, EF, is 14×16^1 + 15×16^0. This equals 224 + 15 = 239. That value is significantly smaller than 255 and therefore cannot be the correct hexadecimal representation.