Which of the following expression Cannot be implemented by a multiplexer?

Which of the following expression Cannot be implemented by a multiplexer?

It cannot be implemented using “n-1” selection lines. Only NOT gate cannot be implemented using “n-1” selection lines.

What is mux implementation?

A multiplexer makes it possible for several input signals to share one device or resource, for example, one analog-to-digital converter or one communications transmission medium, instead of having one device per input signal. Multiplexers can also be used to implement Boolean functions of multiple variables.

How does a MUX work?

How Does a Multiplexer Work? The multiplexer works like a multiple-input and single-output switch. The output gets connected to only one of the n data inputs at a given instant of time. Therefore, the multiplexer is ‘many into one’ and it works as the digital equivalent of an analog selector switch.

How to implement the following function using nothing but 2 : 1 MUX?

Edit: While I understood the accepted answer and it is the correct answer, I was then required to use just the following inputs for the data lines of my 2:1 muxes: logic 0, logic 1 and the variable D. The variables A, B, C should only be used as selector lines.

How to use a MUX function in Ans?

Ans: While implementing any function using MUX, if we have N variables in the function then we take (N-1) variables on the selection lines and 1 variable is used for inputs of MUX. As we have N-1 variables on selection lines we need to have 2 N-1 to 1 MUX. We just have to connect A, A’, 0 or 1 to different input lines. e.g.

How many MUX are needed to implement 64?

Hence, total number of 4 : 1 MUX are required to implement 64 : 1 MUX = 16 + 4 + 1 = 21. An example to implement a boolean function if minimal and don’t care terms are given using MUX​.

Which is multiplexer does not require two MUX?

First multiplexer will act as NOT gate which will provide complemented input to the second multiplexer. Three (3) ​2 : 1 MUX are required to implement 4 : 1 MUX. While 8 : 1 MUX require seven (7) ​2 : 1 MUX, 16 : 1 MUX require fifteen (15) ​2 :1 MUX, 64 : 1 MUX requires sixty three (63)​ 2 : 1 MUX. 2 n : 1 MUX requires (2^n – 1) 2 : 1 MUX.