A multiplexer (MUX) is a digital switch with the following capabilities:
- Converts parallel data inputs into a single serial data output (parallel-to-serial conversion).
- Acts as a data distributor, directing one of several inputs to the output based on selection.
- Functions as a logic function generator, performing various logic operations based on selection line configuration.
- Switches data from multiple input lines to a single output line.
Therefore, options (A), (B), (C), and (D) are all correct.
Final Answer:
\[
\boxed{\text{(1) (A), (B), (C) and (D)}}
\]