Using a 10‐bit conversion, the dynamic range available from an input signal sampled for 4 seconds at a sampling rate of 20 kHz is:

ADC Dynamic Range

For an ADC, the dynamic range is related to the number of bits that are used to digitize the analog signal. 

The dynamic range is defined as the ratio between the largest and smallest values that the ADC can reliably measure.

Consider an ideal N-bit ADC. The minimum value that can be detected is one least significant bit (LSB).

The maximum value is (2^N - 1) times the LSB value.

Hence, in terms of decibels, the dynamic range of the ADC will be equal to:

\(DR=20log[{(2^N-1)LSB\over LSB}]\)

\(DR=20log{(2^N-1})\) dB

Calculation

GIven, n = 10

\(DR=20log{(2^{10}-1})\)

DR = 60 dB