UGC NET Questions (Paper – 1)

In hexadecimal, the digit A represents 10. The integer part 2₁₆ is simply 2 in decimal. The fractional part .A₁₆ equals 10×16⁻¹ = 10/16 = 0.625. Adding these together gives 2 + 0.625 = 2.625. Therefore, the decimal equivalent of 2.A₁₆ is 2.625.

Option A:
Option A correctly interprets the fractional hex digit with weight 1/16. It recognises that A contributes 10/16 and combines it with the integer part. The resulting 2.625 matches the meaning of the hex numeral.

Option B:
Option B, 2.5, would correspond to a fractional component of 0.5, which is 8/16 in base 16, i.e., .8₁₆. That does not match the digit A, so this option misreads the hex fraction.

Option C:
Option C, 2.75, assumes a fractional part of 12/16 (0.75), which would correspond to .C₁₆, not .A₁₆. Therefore, it confuses the digit value.

Option D:
Option D, 2.6875, corresponds to 11/16 (0.6875), which would be .B₁₆. Since the fraction here is .A₁₆, this value does not align with the given numeral.