There are three parts: the input, the output, and the selector. With a mux, you have multiple inputs, and a selector chooses which one of those outputs to use, and pipes it to a single output.

That is, it isn’t really connecting one output to 32 inputs ... Notice, too, that the mux chip can operate rail-to-rail. However, for some applications, you’ll need a negative supply and ...

To ensure glitch-free transition at the output of the multiplexer, clock gating checks need to be met at the inputs. However, there is a design-dependency when applying clock gating checks on this ...