Digital vs Analog output on CD players

Folks, I'm sure this has been discussed before but I can not find the thread. I'm in the throws of experimenting with connecting my two CD players (yes I use two for the fun of the hobby and switch around; some CD's sound better on the NAD and others on the Rotel) via their digital ouputs to the digital inputs on my A-V receiver vs their analog jacks. What's the official scoop on this? Does using the digital outputs improve the overall soundstage, depth, detail, etc of the music being played? Are there any other benefits going digital vs analog? My hi-fi store sold me a digital interconnect and is letting me try it out. I can always go back to analog. I have the my NAD C541 connected via its digital output and my Rotel RCD-1072 via its analog outputs. So far, I am finding the differences to be subtle. What does everyone think on this? Many thanks. Sorry if I sound naive on this topic.
Pdn; A cd player's dig.output signal is at the mercy of the dac within the receiver. What we we think isn't as important as what you think. Connecting this way allows you to hear how good the dac is within the player vs the dac in the receiver.--------In gereral the dac in the receiver won't be as good as a quality 2ch,dedicated dac. The same can be said for the dac in your players,as well. To take advantage of a quality dac will also mean you would need a quality 2ch. pre.amp---oh ya, a quality 2 ch. amp would also be needed. So, what you have is a 'taste' (assuming you only have a receiver).