Octal of decimal eight – UGC NET Question

Decimal 8 can be expressed in octal as one group of eight, which is 10₈. In octal, the place values are 1, 8, 64 and so on, similar to how decimal uses 1, 10 and 100. Thus a single 8 corresponds to 1 in the eights place and 0 in the ones place, giving 10₈.

Option A:
Option A, 7₈, equals seven in decimal, which is one less than 8. It does not include the necessary value in the eights place.

Option B:
Option B, 11₈, equals 1×8 + 1 = 9 in decimal, which is greater than 8. It overshoots the correct value and therefore cannot be the right representation.

Option C:
Option C is correct because 10₈ means 1×8 + 0×1 = 8. This exactly matches the decimal value and follows the octal place value structure.

Option D:
Option D, 8, is not a valid single octal digit since octal digits range from 0 to 7. Writing 8 as a digit in an octal number would violate the base-8 rules.