7. (10 Points) A 2n :1 MUX has 2n data input, n control input, and 1 data output. It selects one of the data inputs and connects to its output depending on the value of the control input. (a) Design a 2:1 MUX using logic gates. (b) Build a 4:1 MUX which has 4 data inputs, 2 control inputs, and 1 output using an appropriate number of the 2:1 MUX(s) you have designed in part (a). For each part, show the truth table and provide a Boolean expression for the MUX output. Also, draw the logic circuit for each part. 7. (10 Points) A 2n :1 MUX has 2n data input, n control input, and 1 data output. It selects one of the data inputs and connects to its output depending on the value of the control input. (a) Design a 2:1 MUX using logic gates. (b) Build a 4:1 MUX which has 4 data inputs, 2 control inputs, and 1 output using an appropriate number of the 2:1 MUX(s) you have designed in part (a). For each part, show the truth table and provide a Boolean expression for the MUX output. Also, draw the logic circuit for each part.