You don't need to be a programmer or have in-depth knowledge about computer science (although it does help) to enjoy this game. However you have to be at least somewhat geeky, nostalgic for old technology, open/willing to learn and really like puzzle solving.

I myself study computer engineering and haven't had to do any assembler programming in years, so I actually enjoy this game even more ^^.
The underlying architecture is quite limiting forcing you to be very creative, when coming up with solutions. This way even a seasoned assembly language programmer will be forced out of their comfort zone, as you have to adapt and tailor your solutions to the very specific aspects and limitations of the underlying architecture.

As a side note I have read negative reviews criticizing this last point I made, however from my point of view this is exactly what makes this game so interesting (nonetheless I am aware that this game is not for everyone).
Obviously this analogy is only partly applicable, but I think at least to some extent you could compare it to being tasked to land a helicopter, whose cyclic is partly broken, thus eliminating the obvious solution and forcing you to think creatively and really consider all your available options.