That would be my guess. If something is analog, it is not software. Hardware is something tangible, something that you can touch. You can touch a CD or DVD, they are hardware, but the movies and music itself are software. Like a DC/DC converter for example. That is completely analog and is purely hardware. Although there are DC/DC converters that incorporate digital components, you can also say that some DC/DC converters consist of both hardware and software. This idea becomes very sketchy because analog may sometimes require software and digital will most likely require software. You can't really distinguish either because both can be thought of as purely hardware/mixture of hardware and software.
I want to say that for hardware to be used, it doesn't require software but in some cases that's not true (computers come to mind). You can think of a record player. A record player doesn't need 'code' to run. It is a purely mechanical system with electronic components. A vinyl record is the same thing, it is all mechanical.
Digital could be considered purely software, which is kind of what it is. You may have hardware digital components (logic gates for example) but usually something is required to 'convert' that logic (1,0) into something a human can understand. So that's why a DVD or CD is considered software; it is on a hardware medium but it is basically software that needs to be converted by a
combination of hardware/software into something for a human to hear/watch.
It's pretty early for me so I'm not sure if that makes sense to you.
Also, I was just thinking of my Digital Communications course. It basically taught us all about gain, losses, anything related to communications like a cell phone or any communications device would use (modulation, AM, FM, PM, QAM, BPSK, QPSK, all that stuff). Although most it is all digital, it is purely hardware. We never once touched software. In the labs we set up the hardware circuits and analyzed them on the oscilloscope. So digital actually is purely hardware. We built an AM transmitter using only hardware and tested it out by transmitting it to a radio and then adjusted the sound of the signal by adjusting a potentiometer (which controlled the amplitude of the wave). That would be considered analog.
Whereas with BPSK (binary phase shift keying), the logic state of the hardware would determine the output signal. This is completely digital but also purely hardware.
Analog and digital can be either purely hardware or a mixture of hardware and software, just to clear that up a little bit (or maybe it made it more confusing).