Decimal of octal 157 – UGC NET Question

In octal 157₈, the digits are in the 8^2, 8^1 and 8^0 positions. The value is 1×64 + 5×8 + 7×1. This computes as 64 + 40 + 7 = 111. Thus, the decimal equivalent of 157₈ is 111.

Option A:
Option A, 107, is smaller than 111 and would result from a different combination, such as 151₈. It does not match the actual weighted sum.

Option B:
Option B, 108, also fails to equal 64 + 40 + 7. It appears to be a guess near the correct answer but is not supported by correct calculation.

Option C:
Option C, 110, is close but still one less than the correct value of 111. This again indicates a small arithmetic error.

Option D:
Option D is correct because the precise computation of 1×64 + 5×8 + 7 gives exactly 111. This follows the general method of converting from octal to decimal.