Role of position in positional system – UGC NET Question

In a positional system, the same digit can represent different values depending on where it appears. Its weight is determined by its position relative to the radix point. Each position corresponds to a specific power of the base. Therefore, the weight of a digit depends primarily on its position in the numeral.

Option A:
Option A, value, is the digit itself, but weight is not determined by digit alone; position controls the power of the base used.

Option B:
Option B is correct because each position has a place value (base^0, base^1, base^2, etc.), which determines the weight.

Option C:
Option C, symbol, is another way to refer to the digit; it does not determine the positional weight by itself.

Option D:
Option D, base, affects the system globally, but the specific weight of a digit in a numeral is determined directly by its position (as a power of the base).