UGC NET Questions (Paper – 1)

The octal system has base 8, and 8 equals 2³. This means each octal digit corresponds exactly to a group of three binary digits (bits). This property enables straightforward conversion between binary and octal by grouping bits in triples.

Option A:
Option A is consistent with the identity 8 = 2³ and explains why three binary bits can encode any octal digit from 0 to 7. Each triplet uniquely maps to one octal digit, making this relationship fundamental in conversions.

Option B:
Option B, 2, would only allow four possible combinations, insufficient to represent all eight octal digits. Therefore, two bits per octal digit do not provide enough patterns.

Option C:
Option C, 4, corresponds to 16 combinations, which is the number of possible hex digits. This is characteristic of hex, not octal.

Option D:
Option D, 8, suggests eight bits per octal digit, which is far more than required and not aligned with the base relationship between 2 and 8.