How do you draw a 16 1 MUX using 4 1 MUXes?

How do you draw a 16 1 MUX using 4 1 MUXes?

Lets take the inputs to the 16:1 MUX to be numbered 1:16. Now give inputs 1–4 to a, 5–8 to b, 9–12 to c and 13–16 to d. Connect the outputs of all the MUXes to the input of another 4:1 MUX with C and D as select lines. Voila your 16:1 MUX is implemented using 4:1 MUX.

What does a 4-to-1 multiplexer do?

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 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 many 4 * 1 mux are required to implement a 16 * 1mux?

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 do you implement mux?

Implementation of SOP function using multiplexer

  1. Step 1: Draw the truth table for the given number of variable function.
  2. Step 2: Consider one variable as input and remaining variables as select lines.
  3. Step 3: Form a matrix where input lines of MUX are columns and input variable and its compliment are rows.

How does JK flip flop work?

A J-K flip-flop is nothing more than an S-R flip-flop with an added layer of feedback. This feedback selectively enables one of the two set/reset inputs so that they cannot both carry an active signal to the multivibrator circuit, thus eliminating the invalid condition.

What is multiplexer with example?

Multiplexer means many into one. A multiplexer is a circuit used to select and route any one of the several input signals to a single output. A simple example of an non-electronic circuit of a multiplexer is a single pole multi-position switch. Multiplexers can handle two type of data i.e., analog and digital.

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

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

How many select lines will a 16 to 1 multiplexer have?

Ans. For 16 to 1 MUX four select lines will be needed to select 16 (24) inputs.

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

Explanation: There are two NOT gates required for the construction of 4-to-1 multiplexer.

Is a mux a gate?

Multiplexers, or MUX’s, can be either digital circuits made from high speed logic gates used to switch digital or binary data or they can be analogue types using transistors, MOSFET’s or relays to switch one of the voltage or current inputs through to a single output.

How many multiplexers does a 16×1 multiplexer need?

In this section, let us implement 16×1 Multiplexer using 8×1 Multiplexers and 2×1 Multiplexer. We know that 8×1 Multiplexer has 8 data inputs, 3 selection lines and one output. 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 to design a 32 to 1 multiplexer?

How design a 32-to-1 multiplexer using the minimum number of 4-to-1 multiplexers, and one 3-to-8 decoder, and a minimum number of logic gates. Show signal names on the diagram? – Quora How design a 32-to-1 multiplexer using the minimum number of 4-to-1 multiplexers, and one 3-to-8 decoder, and a minimum number of logic gates.

Are there only two inputs in a 2×1 multiplexer?

In 2×1 multiplexer, there are only two inputs, i.e., A 0 and A 1, 1 selection line, i.e., S 0 and single outputs, i.e., Y. On the basis of the combination of inputs which are present at the selection line S 0, one of these 2 inputs will be connected to the output. The block diagram and the truth table of the 2 × 1 multiplexer are given below.

How many select lines are needed in a multiplexer?

For example, if the number of input lines is 4, then two select lines are required. Similarly, to select one of 8 input lines, three select lines are required. Generally, the number of data inputs to a multiplexer is a power of two such as 2, 4, 8, 16, etc.

How many multiplexers do I need for 16 × 1?

We can implement the 16 × 1 multiplexer using a lower order multiplexer. To implement the 8 × 1 multiplexer, we need two 8 × 1 multiplexers and one 2 × 1 multiplexer. The 8 × 1 multiplexer has 3 selection lines, 4 inputs, and 1 output.

How many inputs are in a 4 × 1 multiplexer?

The block diagram and the truth table of the 4 × 1 multiplexer are given below. The logical expression of the term Y is as follows: Logical circuit of the above expression is given below: In the 8 to 1 multiplexer, there are total eight inputs, i.e.,

How to implement an 8 × 1 multiplexer in Java?

We can implement the 8 × 1 multiplexer using a lower order multiplexer. To implement the 8 × 1 multiplexer, we need two 4 × 1 multiplexers and one 2 × 1 multiplexer. The 4 × 1 multiplexer has 2 selection lines, 4 inputs, and 1 output. The 2 × 1 multiplexer has only 1 selection line.

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.

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