Because you mentioned a sub woofer, and DAC/ADC conversions, I assume your connecting your turntable to an AV receiver (AVR).
Connect the pre outs from your turntable to any left/right pair of standard RCA input jacks on your AVR. However, do not connect them to any RCA input jacks labeled PHONO, if your AVR has them. PHONO input jacks mean that your AVR has a built-in internal phono pre amp. Use either the phono pre amp in your turntable, or the one in your AVR, but do not use both.
Some AVRs convert all analog inputs to digital (ADC) and other allow bypassing the ADC. Read your manual to see what choices your AVR allows. If your AVR does not allow you the choice to bypass the ADC, I wouldn't worry about it. Despite what you may have been told, this hasn't been known to produce lower sound quality.