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Can Digital Audio Ever Be Indistinguishable From Analog?

As digital-audio resolutions increase from 44.1kHz/16 bits to 96kHz/24 bits to perhaps even 384kHz/32 bits, I wonder if there's a point at which digital becomes indistinguishable from analog. After all, the human hearing system is not infinite in its discrimination, so there must be a digital resolution beyond which we can't hear the effect of increasing it further. If that's the case, is digital audio at that resolution indistinguishable from top-notch analog, or is there some quality that will always allow us to identify it as digital?

Those who prefer the sound of analog will probably vote that digital will always be distinguishable from high-quality analog, no matter how high the resolution is, and I'd really like to know why you believe that. What is it about digital audio that will always allow humans—at least those with trained ears—to identify it as digital?

Vote to see the results and leave a comment about your choice.

Can Digital Audio Ever Be Indistinguishable From Analog?