With a 9V supply and without a speaker, the max output of the LM386 is from +0.5V to +8.5V.
At the output of the 100uF capacitor the signal is from -4V to +4V.
The max allowed input of your ADC is probably from 0V to +5V so the signals from the LM386 might have destroyed your ADC.
But you said you connected an LM324 to a DAC not to an ADC.
I have no idea what you have connected to what. Please attach a schematic of what you have done.
The ADC isn't biased, plus no coupling capacitor, then there's no coupling capacitor between the DAC and the amp, and the amp is connected up incorrectly as well.
Apart from that it's essential to low-pass filter both the input and output to prevent anti-aliasing.
The positive power supply pin 13 VCC of the DAC is not powered.
Pin 2 and pin 15 are not connected.
The output from the DAC is a small current, not a voltage. It is connected to a very low value resistor and non-inverting input of a power amplifier, instead of the inverting input of an opamp as shown in its datasheet.
Hi fedail,
The sine wave swings +ve and -ve. But the ADC is supplied with only 0 V to 5 V. Any voltage below 0 V is distorted because it's out of the range of the reference voltage of the ADC. So the input signal has to be shifted/biased up to the range of the reference voltages.