Talking about bad metaphors, do note that:
* Nature is not digital (numerical), but
* Nature also is not voltage or current signals (analog electronics)
Both are human-made systems to describe the nature.
For information processing, it has become obvious that digital domain with exact numeric representation of natural phenomena is the way to go, at least currently, to the foreseeable future. Specifically, implemented using binary signalling. But this mindset ignores input/output.
Realistically, you can't go from natural phenomena to direct binary digital numbers; voltages, currents, charges are needed as intermediate states. Enter analog devices!
For example, when a photon hits a CMOS sensor, it is converted into electric charge, amount of which is sensed by an amplifier, and then converted into digital number using an ADC. A lot of modern, complicated, high-tech analog circuitry. Then, even when this ADC outputs a digital value, it still uses voltages in its digital interface, and having correct signal integrity in that "digital" signal is paramount, and this is again an analog matter.
In the end, everything is mixed signals. If you want to be a capable EE, there is no way around understanding both digital domain, and classic analog electronics. This does not mean you need to be a wizard in designing analog filters.