UGC NET Questions (Paper – 1)

To convert 555₈ to decimal, we expand using powers of 8. The digits are 5×8² + 5×8¹ + 5×8⁰ = 5×64 + 5×8 + 5×1 = 320 + 40 + 5 = 365. Thus, the decimal representation of 555₈ is 365.

Option A:
Option A correctly computes each positional contribution and sums them. It uses 64, 8, and 1 as place values and multiplies by 5 each time, yielding a total of 365.

Option B:
Option B, 349, results from an arithmetic miscalculation or incorrect weighting of one of the positions. It does not match the standard expansion of 555₈.

Option C:
Option C, 373, is close but implies that one of the place values or digit weights was slightly misapplied, possibly adding an extra 8 or subtracting a 0 somewhere.

Option D:
Option D, 381, overshoots the correct result and similarly indicates a mis-evaluation of one or more terms in the expansion.