Question

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.

Answer 1

Use AND, OR, and NOT gates to design a 2:1 MUX.the functionality required for a 2:1 MUX using logic gates, enabling the selection of data inputs according to the control input's state.

Explanation:

To create a 2:1 MUX, employ logic gates in a specific configuration. Start by using an AND gate to combine one of the data inputs with the complement of the control input.

Similarly, use another AND gate to combine the other data input with the control input itself. Then, use an OR gate to merge the outputs of both AND gates. Finally, this resultant output from the OR gate serves as the MUX output. By implementing this logic arrangement, the 2:1 MUX can effectively select between the two data inputs based on the control input's value.

This design provides the functionality required for a 2:1 MUX using logic gates, enabling the selection of data inputs according to the control input's state.