Final answer:
To implement f(a, b, c)=ΠM(0,2,5) using a single 4-1 MUX and inverters only, connect the inputs a and c to the MUX selection lines and the input b to the remaining MUX input. Connect the desired minterms to the corresponding MUX inputs, and use an inverter to obtain the final result.
Step-by-step explanation:
Using a single 4-1 MUX and inverters only, we can implement the function f(a ,b, c)= M(0,2,5) by using the inputs a and c as the MUX's selection lines. To get the desired outcome, we can connect the MUX's output to an inverter. The inputs for the minterms 0, 2, and 5 should be connected to the MUX inputs 0, 1, and 2, respectively, and the input b should be connected to the MUX input 3. This is how the truth table for the MUX should be set up.