UGC NET Questions (Paper – 1)

To convert 3F₁₆ to octal, we can first convert it to decimal. 3F₁₆ equals 3×16 + 15 = 48 + 15 = 63. Converting 63 to octal by dividing by 8 gives 7 with remainder 7, so the octal value is 77₈. Therefore, 77 is the correct octal equivalent.

Option A:
Option A, 67₈, converts to decimal 6×8 + 7 = 55, which is less than 63. It does not match the decimal value of 3F₁₆.

Option B:
Option B is correct because 3F₁₆ → 63₁₀ → 77₈. The intermediate decimal step verifies that both conversions are consistent.

Option C:
Option C, 73₈, corresponds to 7×8 + 3 = 59 in decimal, which is not equal to 63. Thus it cannot represent 3F₁₆.

Option D:
Option D, 75₈, equals 7×8 + 5 = 61, again not matching the required decimal value.