Final answer:
A 16-bit recording system will theoretically provide a dynamic range of 65,536 levels.
Step-by-step explanation:
A 16-bit recording system will theoretically provide a dynamic range of 65,536 levels.
Each bit in a binary number can have two possible values, either 0 or 1. Therefore, a 16-bit system can represent 2^16 (2 raised to the power of 16) possible combinations, which is equal to 65,536.
Since each combination represents a different level of sound, a 16-bit recording system can theoretically capture and distinguish between 65,536 different audio levels, providing a high dynamic range.