Help with questions regarding MUX, half-adder, adder, truth tables for full adder, and boolean expressions for adders.

1) Explain what is a Multiplexor (or MUX or Selector)? For a 2-input MUX how many inputs are really needed? 2) Draw a truth table of a 2-input MUX shown below. Circle input (I or output (O) in the table below. Extend the table as you need. (How many rows are needed?) A- I or C B-I or O S-I or O C- I or O O M Extend as needed 3) Write a Boolean expression for the MUX above. Simplify this as far as possible Draw the logic diagram of the MUX above using the basic gates AND, OR and NOT