compute the dynamic range and percentage resolution of a signal that uses 16 bit fixed point format

Sure, let's compute the dynamic range and percentage resolution of a signal that uses 16-bit fixed point format.

1. Dynamic Range: The dynamic range of a digital system is the ratio of the largest to the smallest signal that can be represented. For a 16-bit system, the largest signal is 2^16 - 1 (because we start counting from 0), and the smallest signal is 1 (not 0 because we're looking at the ratio of largest to smallest, and we can't divide by 0). So, the dynamic range is (2^16 - 1) / 1 = 65535.

2. Percentage Resolution: The resolution of a system is the smallest change in input that can cause a change in output. For a 16-bit system, the smallest change is 1 (again, because we start counting from 0). The percentage resolution is then this smallest change divided by the total number of possible values, times 100 to convert to a percentage. So, the percentage resolution is 1 / (2^16) * 100 = 0.0015%.

So, the dynamic range of a 16-bit fixed point format signal is 65535, and the percentage resolution is 0.0015%.