The following image shows the diagram as well as the implementation using NAND gates. The common input F, which is connected to all the NAND gates and that will be selected to the output by using the selection lines A & B.
Operation:
When the value of selection lines A & B are 00, the output line 0 will produce the output ie F will be driven to the output line 0. Please see inside the DMX to understand more.

When the value of selection lines A & B are 01, the output line 1 will produce the output ie F will be driven to the output line 1

When the value of selection lines A & B are 10, the output line 2 will produce the output ie F will be driven to the output line 2..

When the value of selection lines A & B are 11, the output line 3 will produce the output ie F will be driven to the output line 3.

Complete implemenation is shown below.

The truth table is given below.
| A | B | Output |
| 0 | 0 | F in Output0 |
| 0 | 1 | F in Output1 |
| 1 | 0 | F in Output2 |
| 1 | 1 | F in Output3 |
Thank You.
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