4x1 mux truth table

4x1 mux truth table

4x1 mux truth table
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4x1 multiplexer

Latest Projects Education. Homework Help designing 4x1 mux with 2x1 muxes and logic gates. Home Forums Education Homework Help. JavaScript is disabled. For a better experience, please enable JavaScript in your browser before proceeding. Thread starter puzzle Start date Nov 1, Search Forums New Posts. Thread Starter puzzle Joined Oct 30, Hello, Can someone please explain me how to design a logic circuit of 4x1 mux using 2x1 muxes and logic gates? I will also appreciate an explanation thanks! Scroll to continue with content. I'm familiar with this answer : but I will be glad to hear another different solutions using also logic gates. GopherT Joined Nov 23, 8, I'm familiar with this answer : View attachment but I will be glad to hear another different solutions using also logic gates. GopherT said:. It cannot be done unless your multiplexers have another "disable" pin. Otherwise one channel on each will always be on. I am assuming these are analog multiplexers passing an analog signal so a digital logic front end cannot be used. If they are digital multiplexers, then let me know. AnalogKid Joined Aug 1, 8, The circuits in posts 2 and 4 are fine. Are you sure about the question? Yes I'm sure. Never mind, maybe it's good enough. WBahn Joined Mar 31, 25, I will also appreciate an explanation. WBahn said:. Why won't the circuit he showed work? Why assume that these are analog signals with the original post provided a Boolean expression for the output in terms of the input signals? Why assume when the OP is available to answer the question? The truth table determines the Channel selection, not the contents of the channel. You teach this stuff? YOU are the one that is assuming -- "I am assuming these are analog multiplexers I said that the original post provided a Boolean expression for the output in terms of the input signals. What information was left out? People that understand that signals in Boolean expressions are not analog had no problem understanding that he is talking about a digital circuit and therefore he wasn't talking about an analog multiplexer. While you're whining and pouting because you made an unreasonable assumption and got called on it, perhaps you should also consider that it might be a hydraulic multiplexer since he didn't say it wasn't and ask him to clarify that, too. You are really schizophrenic - one minute you say it is obviously digital and the next you are concerned it might be hydraulic, but you claim it can't be analog?

2x1 mux truth table

A multiplexer is a Combinational circuit it is a type of circuit whose output rely on the given inputs using various logic gates that takes multiple inputs and delivers only a single output. It consists input data lines, selection lines and a single output. In this case, 2 2 that gives 4 input lines and 2 selection lines. Truth table. We can represent this by an expression. In above diagram, there were two selection lines along with their respective complements using Inverters. Notify me of follow-up comments by email. Notify me of new posts by email. Sandeep Verma October 1, Articles 0 Comments A multiplexer is a Combinational circuit it is a type of circuit whose output rely on the given inputs using various logic gates that takes multiple inputs and delivers only a single output. To construct a 4 to 1 multiplexer, we need to know how many selection lines we required to create a MUX? Tags: 4 to 1 multiplexerComputer organisationdeDigital Electroniclogic gatesMultiplexer. Next Post Construct 2 to 4 decoder with truth table and logic diagram. Java program to show the working of try and catch statements September 14, Wap to convert degree to radian? September 25, What is the use of final keyword in Java August 27, Leave a Reply Cancel reply. Close Menu.

4 to 1 mux using 2 to 1 mux truth table

Muxes have N data inputs and log 2 N select inputs, and a single output. In operation, the select inputs determine which data input drives the output, and whatever voltage appears on the selected input is driven on the output. All non-selected data inputs are ignored. As an example, if the select inputs of a mux are '1' and '0', then the output Y will be driven to the same voltage present on input I2. Common mux sizes are 1 select input2 select inputsand 3 select inputs. The truth table in Fig. Note the use of entered variables in the truth table—if entered variables were not used, the truth table would require six columns and 26 or 64 rows. The truth table can easily be modified for muxes that handle different numbers of inputs by adding or removing control input columns. A minimal mux circuit can be designed by transferring the information in the truth table to a K-map, or by simply inspecting the truth table and writing an SOP equation directly. The AND gates combine the log 2 N select inputs with a data input, such that only one AND gate output is asserted at any time, and the OR output stage simply combines the outputs of the AND gates you will complete the sketch for a mux circuit in the exercises. Mux circuits often use an enable input in addition to the other inputs. Figure 2 below shows the block diagram of mux with enable. Larger muxes can easily be constructed from smaller muxes. For example, an mux can be created from two muxes and one mux if the outputs from the muxes drive the data inputs of the mux, and the most-significant select input drives the select input of the mux. Muxes are most often used in digital circuits to transfer data elements from a memory array to data processing circuits in a computer system. The memory address is presented on the mux select lines, and the contents of the addressed memory location are presented on the mux data inputs this application of muxes will be presented in later projects that deal with memory systems. Since most data elements in computer systems are bytes, or words consisting of 8, 16, or 32 bits, muxes used in computer circuits must switch 8, 16, 32 or more signals all at once. A block diagram and schematic for a bus mux that can select one of four 8-bit data elements is shown in Fig. Since this most common application of multiplexers is beyond our current presentation, we will consider a less common, somewhat contrived application. Consider the K-map representation of a given logic function, where each K-map cell contains a '0', '1', or an entered variable expression. Each unique combination of K-map index variables selects a particular K-map cell e. Now consider a mux, where each unique combination of select inputs selects a particular data input to be passed to the output e. It follows that if the input signals in a given logic function are connected to the select inputs of a mux, and those same input signals are used as K-map index variables, then each cell in the K-map corresponds to a particular mux data input. Mux data inputs are connected to: '0' or ground when the corresponding K-map cell contains a '0'; '1' or Vdd when the corresponding K-map cell contains a '1'; and if a K-map cell contains an entered variable expression, then a circuit implementing that expression is connected to the corresponding mux data input. Note that when a mux is used to implement a logic circuit directly from a truth table or K-map, logic minimization is not performed. This saves design time, but usually creates a less efficient circuit however, a logic synthesizer would remove the inefficiencies before such a circuit was implemented in a programmable device. Back to the list Share:. Figure 1. Truth table, logic graph, and block diagram of a 4-to-1 multiplexer. Figure 2. Block diagram of mux with enable. Figure 3. Bus mux. The memory address is presented on the mux select lines, and the contents of the addressed memory location are presented on the mux data inputs. Other product and company names mentioned herein are trademarks or trade names of their respective companies.

2 to 1 multiplexer truth table

When we transfer data, there are a few things that we need to consider to ensure that our transfers are quick, lossless, and efficient. However, transmitting data requires bandwidth. Or let us put it in even simpler terms. From a layman perspective, if we have a high number of connections or wires between two points, you can transfer a more massive amount of data. However, transmission lines, connections, even the traces on a circuit board are an expensive commodity — both cost and real estate wise. You ideally need a system where you can transfer the most data using the least connections and cost. That is one of the core aspects of communication system design. Multiplexing is a concept that is very important in this aspect. Multiplexing means to transmit more than one signal on a single transmission line. In this post, we will look at the multiplexer and demultiplexer circuits. We will also tabulate the multiplexer and demultiplexer truth tables. A multiplexer is a digital combinational logic circuit with n inputs and one output. Its purpose is to connect one of the inputs to the output line, depending on a control signal. The general symbol of a multiplexer is shown below. Basically, it switches between one of the many input lines and connects them one by one to the output. It decides which input line to switch to using a control signal. Physically, a multiplexer has n input pins, one output pin, and m control pins. The mux itself acts like a digitally controlled multi-position switch where the binary code applied to the select inputs controls the data input, which will be switched to the output. To understand the design and working of a multiplexer, we will dive right in. We will start by designing the simplest of digital multiplexers: the mux. Since we have one control input, there are only two possible values for it. When the control input is 0, the first input line connects to the output. When the control output is 1, the second input line connects to the output. So now you understand how a control line controls which input connects to the output. As we can see in the multiplexer circuit, depending on the value of the select line Swe can select an input line to connect it to the output. The current value on the line that is selected passes to the output. In this way, the multiplexer acts as a switching circuit. Now, as we increase the number of inputs, the number of select lines will increase too. We have four inputs, what number of digits in a binary number gives you four possible combinations? Or, using how many digits in a binary number can you count up to four? If you are unable to answer these questions, you still have the formula we saw above to count on. We need two select lines for a mux. Solving for output using the method we saw in the post for comparators. Plotting the circuit for the above equation we get the following logic circuit for a multiplexer. If we have small multiplexers, but we wish to increase their functionality, we can join them to obtain a mux with more inputs.

16 to 1 multiplexer truth table

4x1 mux truth table
CD is a dual 4-channel IC that can be used as both multiplexer and demultiplexer. We can use this IC in both digital and analog applications. In other words, it works for both analog and digital voltage levels. Furthermore, it is controllable through a digital control signal and offer very low resistance in ON state. The IC CD has total 16 pins. All the pins, their names, and description are given in the table below. In multiplexer mode, it takes 4 inputs from 4 channels and returns the output on channel X, Y. The two binary input signals A and B are responsible for selecting channels that which channel should be turned on. CD IC can also work as a demultiplexer. In this mode, it will take only one input. The select pins A and B will decide that output will be sent to channel 0, 1, 2 or 3. Pin 15 is connected to the power supply and Vss is connected to the ground of the circuit. When inhibit pin is responsible for enabling and disabling of channels. When it is applied with 0 logic, channels are enabled. Channels are disabled no matter what input is applied on select pins when the inhibit pin is applied with logic 1. In multiplexer mode, it has two channels X, and Y. Both channels have output pins X and Y respectively. The input pins A, and B are common selection lines for both 4 cross 1 muxes. These selection lines decide which input signal will reflect on output pin. As you see from this circuit diagram, we are getting output on X and Y pins according to the above table. This is a working circuit diagram. You can play with it in proteus also. As you can see that we give selection line pins A and B are equal to one. According to the selection lines, Multiplexer selects X3 and Y3 input. This simulation shows a complete working with all possible combinations of A, B inputs. As you can see from the output, the output reflects on X and Y according to the selection line signals. We can also call it a decoder. In this configuration, X and Y act as inputs pins. Selection pins A and B decide on which pin output should appear. This simulation diagram of the demux depicts the working principle. Therefore, input signals reflect on X0 and Y0. In short, we can change selection line signal values to change the output. In the last two examples, we see CD working with digital signals only. But we use only one mux channel in this example. We connect four-level voltage signals with X0 to X4. As you can see the respective analog voltage appears at the output. The voltmeter displays voltage value.


A multiplexer is a data selector device that selects one input from several input lines, depending upon the enabled, select lines, and yields one single output. A multiplexer of 2 n inputs has n select linesare used to select which input line to send to the output. These devices are used extensively in the areas where the multiple data can be transferred over a single line like in the communication systems and bus architecture hardware. Visit this post for a crystal clear explanation to multiplexers. The gate-level abstraction is the lowest level of modeling. The gate-level modeling style uses the built-in basic logic gates predefined in Verilog. We only need to know the logic diagram of the system since the only requirement is to know the layout of the particular logic gates. The port-list will contain the output variable first in gate-level modeling. This is because the built-in logic gates are designed such that the output is written first, followed by the other input variables or signals. The intermediate signals are declared as wires. Note that the intermediate signals are those that are not involved in the port list. Example: signals that are emerging from the NOT gate. Time for us to write for the logic gates. Separate the list for a particular gate by appropriate brackets, if there exists more than one same logic gate. Here s0bar and s1bar are the output to the first and second NOT gate respectively and s0 and s1 are the input to the first and second NOT gate. This hardware schematic is the RTL design of the circuit. Notice the resemblance between the logic circuit of MUX and this picture. It is clear that the gate-level modeling will give the exact involved hardware in the circuit of the system. The dataflow modeling represents the flow of the data. It is described through the data flow through the combinational circuits rather than the logic gates used. It is necessary to know the logical expression of the circuit to make a dataflow model. The equation for MUX is:. Start with the module and input-output declaration. Using the assign statement to express the logical expression of the circuit. A ternary operator? This operator works similar to that of C programming language. This shows that if s1 is high, the s0? Further, if s0 is high, d OR b will get transferred to the out variable, depending on the s1 select line, else c OR a will be the output. Thus, the final code for the multiplexer using data-flow modeling is given below. The figure consists of two individual multiplexers, connected by the two select lines s0 and s1. The behavioral style, as the name suggests, describes the behavior of a circuit. It is the highest abstraction layer in the Verilog modeling of digital systems. The truth table of the MUX has six input variables, out of which two are select lines, and one is the output signal. The input data lines a, b, c, d are selected depending on the values of the select lines. To start with the behavioral style of coding, we first need to declare the name of the module and its port associativity list, which will further contain the input and output variables. Point to be noted here; we are supposed to define the data- type of the declared variable also since it will account for the behavior of the input and output signals. The output variable out is reg.

8:1 multiplexer circuit diagram truth table

4x1 mux truth table
One of these data inputs will be connected to the output based on the values of selection lines. So, each combination will select only one data input. Multiplexer is also called as Mux. The block diagram of 4x1 Multiplexer is shown in the following figure. One of these 4 inputs will be connected to the output based on the combination of inputs present at these two selection lines. Truth table of 4x1 Multiplexer is shown below. The circuit diagram of 4x1 multiplexer is shown in the following figure. We can easily understand the operation of the above circuit. Similarly, you can implement 8x1 Multiplexer and 16x1 multiplexer by following the same procedure. Now, let us implement the following two higher-order Multiplexers using lower-order Multiplexers. In this section, let us implement 8x1 Multiplexer using 4x1 Multiplexers and 2x1 Multiplexer. We know that 4x1 Multiplexer has 4 data inputs, 2 selection lines and one output. Whereas, 8x1 Multiplexer has 8 data inputs, 3 selection lines and one output. So, we require two 4x1 Multiplexers in first stage in order to get the 8 data inputs. Since, each 4x1 Multiplexer produces one output, we require a 2x1 Multiplexer in second stage by considering the outputs of first stage as inputs and to produce the final output. The Truth table of 8x1 Multiplexer is shown below. We can implement 8x1 Multiplexer using lower order Multiplexers easily by considering the above Truth table. The block diagram of 8x1 Multiplexer is shown in the following figure. The outputs of first stage 4x1 Multiplexers are applied as inputs of 2x1 Multiplexer that is present in second stage. The other selection line, s 2 is applied to 2x1 Multiplexer. Therefore, the overall combination of two 4x1 Multiplexers and one 2x1 Multiplexer performs as one 8x1 Multiplexer. In this section, let us implement 16x1 Multiplexer using 8x1 Multiplexers and 2x1 Multiplexer. We know that 8x1 Multiplexer has 8 data inputs, 3 selection lines and one output. Whereas, 16x1 Multiplexer has 16 data inputs, 4 selection lines and one output. So, we require two 8x1 Multiplexers in first stage in order to get the 16 data inputs. Since, each 8x1 Multiplexer produces one output, we require a 2x1 Multiplexer in second stage by considering the outputs of first stage as inputs and to produce the final output. Let the 16x1 Multiplexer has sixteen data inputs I 15 to I 0four selection lines s 3 to s 0 and one output Y. The Truth table of 16x1 Multiplexer is shown below. We can implement 16x1 Multiplexer using lower order Multiplexers easily by considering the above Truth table. The block diagram of 16x1 Multiplexer is shown in the following figure. The outputs of first stage 8x1 Multiplexers are applied as inputs of 2x1 Multiplexer that is present in second stage. The other selection line, s 3 is applied to 2x1 Multiplexer. Therefore, the overall combination of two 8x1 Multiplexers and one 2x1 Multiplexer performs as one 16x1 Multiplexer.

Multiplexer ic

Multiplexing is the property of combining one or more signals and transmitting on a single channel. This is achieved by the device multiplexer. A multiplexer is the most frequently used combinational circuits and important building block in many in digital systems. These are mostly used to form a selected path between multiple sources and a single destination. A basic multiplexer has various data input lines and a single output line. These are found in many digital system applications such as data selection and data routing, logic function generators, digital counters with multiplexed displays, telephone network, communication systems, waveform generators, etc. In this article we are going to discuss about types of multiplexers and its design. The multiplexer or MUX is a digital switch, also called as data selector. It is a combinational circuit with more than one input line, one output line and more than one select line. It allows the binary information from several input lines or sources and depending on the set of select linesparticular input lineis routed onto a single output line. The basic idea of multiplexing is shown in figure below in which data from several sources are routed to the single output line when the enable switch is ON. The below figure shows the block diagram of a multiplexer consisting of n input lines, m selection lines and one output line. If there are m selection lines, then the number of possible input lines is 2m. For example, if one of the 4 input lines has to be selected, 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. Some of the mostly used multiplexers include 2-to-1, 4-to-1, 8-to-1 and to-1 multiplexers. These multiplexers are available in IC forms with different input and select line configurations. Depends on the select signal, the output is connected to either of the inputs. Since there are two input signals only two ways are possible to connect the inputs to the outputs, so one select is needed to do these operations. If the select line is low, then the output will be switched to D0 input, whereas if select line is high, then the output will be switched to D1 input. The figure below shows the block diagram of a 2-to-1 multiplexer which connects two 1-bit inputs to a common destination. The truth table of the 2-to-1 multiplexer is shown below. Depending on the selector switching the inputs are produced at outputsi. From the above output expression, the logic circuit of 2-to-1 multiplexer can be implemented using logic gates as shown in figure. Thus, the output generated by the OR gate is equal to D0. Therefore, the output of the OR gate is D1. Thus, the above given Boolean expression is satisfied by this circuit. In some cases, two or more multiplexers are fabricated on a single IC because simple logic gates can implement the multiplexer. Generally four 2 line to 1 line multiplexers are fabricated in a single IC as shown in figure below. The selection line controls the input lines to the output in all four multiplexers. The control input E enables and disables all the multiplexers, i. The select lines S1 and S2 select one of the four input lines to connect the output line. The particular input combination on select lines selects one of input D0 through D3 to the output. The figure below shows the block diagram of a 4-to-1 multiplexer in which the multiplexer decodes the input through select line. The truth table of a 4-to-1 multiplexer is shown below in which four input combinations 00, 10, 01 and 11 on the select lines respectively switches the inputs D0, D2, D1 and D3 to the output. To get the total data output from the multiplexer, all these product terms are to be summed and then the final Boolean expression of this multiplexer is given as. From the above expression of the output, a 4-to-1 multiplexer can be implemented by using basic logic gates. In this circuit, each data input line is connected as input to an AND gate and two select lines are connected as other two inputs to it. Generally, this type of multiplexers is available in dual IC forms and most common type is IC which is a dual 4-to-1 line multiplexer. Multiplexer - 4:1 from 2:1, 8:1 Mux from 4:1 Mux, Boolean Expression using exactly 1 Mux

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