How do sampling instruments digitize and replay sounds?

Sampling instruments digitize and replay sounds by converting continuous audio waveforms into a series of numerical values, a process known as digital sound recording.

The Digitization Process

To capture a sound, an analogue-to-digital converter samples the waveform thousands of times per second. At each instant, the system measures the amplitude of the wave and assigns it a numerical value represented by binary digits (0s and 1s). According to the sampling theorem, to avoid distortion, the system must sample the waveform at a rate at least twice the bandwidth of the signal. These values are then stored in the instrument's digital memory.123

Replay and Manipulation

Once a sound is digitized, the instrument allows a musician to process and trigger the audio, often via a keyboard or internal sequencer. To replay the sound, the instrument uses a digital-to-analog converter to read the stored binary data and transform it back into continuous audio signals, which are then sent to an amplifier for playback. This technology enables musicians to manipulate recorded sounds using techniques similar to those used in traditional tape studios.312