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How will you build a 16 input mux using only 4 input mux?

How will you build a 16 input mux using only 4 input mux?

The basis: See it this way: You need a combinational logic with 16 input pins, 4 select lines and one output. In a 4:1 mux, you have 4 input pins, two select lines and one output. So, at the least you have to use 4 4:1 MUX, to obtain 16 input lines.

How many inputs can be selected in a multiplexer with 4 control inputs?

So for a 4-input multiplexer we would therefore require two data select lines as 4-inputs represents 22 data control lines give a circuit with four inputs, I0, I1, I2, I3 and two data select lines A and B as shown.

How many selection lines are required to design a 16 to 1 line mux?

4 selection lines
Whereas, 16×1 Multiplexer has 16 data inputs, 4 selection lines and one output. So, we require two 8×1 Multiplexers in first stage in order to get the 16 data inputs.

How many not gates are required for the construction of a 16 to 1 multiplexer?

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. Similarly, 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.

How do you make an AND gate using a mux?

All we need to do is zero out the second product term. We can achieve this by making B as ‘0’. We can tie B input of MUX to zero. Thus we can get an AND gate by tying B input of MUX to zero, resulting circuit is AND gate which ANDs input A and mux select S.

How many and gates are required for a 1 to 8 multiplexer?

For a 1 to 8 multiplexer a total of 8 AND gates are required.

What is a multiplexer with a 4 bit data select input?

A multiplexer with a 4 – bit data select input is a. 4 : 1 multiplexer.

How many select lines will a 16 input multiplexer have?

So the number of select lines will be 4.

What is a 4-to-1 multiplexer?

A 4-to-1 multiplexer consists four data input lines as D0 to D3, two select lines as S0 and S1 and a single output line Y. The select lines S0 and S1 select one of the four input lines to connect the output line.

How many NOT gates are required for a 4-to-1 multiplexer?

How many NOT gates are required for the construction of a 4-to-1 multiplexer? Explanation: There are two NOT gates required for the construction of 4-to-1 multiplexer. x0, x1, x2 and x3 are the inputs and C1 and C0 are the select lines and M is the output.

Could you wire up a 2 1 mux to implement an AND gate?

So, a 2:1 mux can be used to implement 2-input XOR gate if we connect SEL to A, D0 to B and D1 to B’.