2-Input 4-Bit Multiplexer Quiz
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Questions and Answers

Match the input combination with its corresponding output in the 3-variable function table:

(0, 1, 1) = 0 (0, 0, 0) = 1 (1, 1, 0) = 0 (1, 0, 1) = 1

Match the manufacturing step in the paint process with its corresponding explanation:

Step 1 = Initial mixing of components Step 2 = Color formulation Step 3 = Quality assessment Step 4 = Packaging of finished paint

Match the output of the Decoder with the corresponding status of the 2-bit counter:

Y0 = 00 Y1 = 01 Y2 = 10 Y3 = 11

Match each signal action with its corresponding step in the manufacturing process:

<p>Completion signal = Triggers the next step Reset signal = Starts the manufacturing sequence Activation signal = Indicates step initiation Interrupt signal = Pauses the process</p> Signup and view all the answers

Match the operation of the Multiplexer with its function in the manufacturing process:

<p>Selecting inputs = Determines which step to initiate Driving outputs = Activates the corresponding Decoder output Counting operations = Tracks the current manufacturing step Resetting system = Prepares for the next cycle</p> Signup and view all the answers

Match the combination of inputs in the 3-variable function table to their function description:

<p>(0, 1, 0) = Enables output 1 (1, 0, 1) = Enables output 0 (0, 0, 1) = Enables output 1 (1, 1, 1) = Enables output 1</p> Signup and view all the answers

Match the function of the Decoder in the manufacturing process to its usage:

<p>Output Y0 = Initiates Step 1 Output Y1 = Initiates Step 2 Output Y2 = Initiates Step 3 Output Y3 = Initiates Step 4</p> Signup and view all the answers

Match the type of logic discussed to its corresponding application scenario:

<p>3-variable function = Used for decision making Multiplexer = Handles multiple inputs Decoder = Enables single output activation Counter = Tracks steps in a process</p> Signup and view all the answers

Match the following data representation terms with their definitions:

<p>Parallel Data = A set of multiple bits transmitted simultaneously Serial Data = Data transmitted one bit at a time Nibble = A parallel set of 4 bits Byte = A parallel set of 8 bits</p> Signup and view all the answers

Match the following components with their functions:

<p>Multiplexer = Selects between multiple input signals NOT Gate = Inverts the input signal 7-Segment Decoder = Converts BCD input to display output Common Cathode = Used in connecting the ground for displays</p> Signup and view all the answers

Match the following types of 7-Segment Displays with their descriptions:

<p>Common Anode = Has positive ends of segments connected together Common Cathode = Has negative ends of segments connected together 7-Segment Display = Consists of 7 LEDs connected in a form of number 8 Multiplexer = Selects between multiple input signals to output</p> Signup and view all the answers

Match the following signals with their meanings in the described circuit:

<p>MSD/LSD Input = 0 = Selects the MSD to display MSD/LSD Input = 1 = Selects the LSD to display Rapid Switching = Allows both digits to be displayed Input A = Connected to the MSD value</p> Signup and view all the answers

Match the following types of data connections with their requirements:

<p>Parallel Transmission = Requires multiple wires for multiple bits Serial Transmission = Requires a single wire for data transfer Multiplexer Usage = Converts parallel data to serial form Remote Locations = Typically use serial communication systems</p> Signup and view all the answers

Match the following BCD inputs with their corresponding displayed numbers:

<p>0010 = 2 1001 = 9 0000 = 0 0101 = 5</p> Signup and view all the answers

Match the following components of a 2-digit display circuit with their roles:

<p>BCDs to 7-Segment Decoder = Decodes BCD inputs to 7-Segment outputs 7-Segment Display = Displays the output representation of digits LEDs = Light sources used in displays Ground = Connected to the negative ends in Common Anode configuration</p> Signup and view all the answers

Match the following components of an 8-to-1 multiplexer with their characteristics:

<p>Inputs I0-I7 = Can take 8 different data bits Single Output = Transmits the selected input serially 74X151 = An example of an 8-to-1 multiplexer Select Lines = Determine which input is routed to the output</p> Signup and view all the answers

Match the following display types with their respective inputs:

<p>MSD = Input A of the multiplexer LSD = Input B of the multiplexer BCD = Binary Coded Decimal used for display 7-Segment Displays = Final output for visual representation</p> Signup and view all the answers

Match the following descriptions of display types with their characteristics:

<p>Common Anode Display = Connected to +5 volts for segment activation Common Cathode Display = Connected to 0 volts for segment activation 7-Segment Output = Connected to segments of the Common Cathode Displays BCD to 7-Segment Decoder Circuit = Translates BCD numbers to visual digits</p> Signup and view all the answers

Match the following functions with their relevant components in a display circuit:

<p>Anode = Positive connection for segment control Cathode = Negative connection for segment control Display Circuit = Shows the visual representation of numbers Input A and B = Received BCD numbers in the alternate circuit</p> Signup and view all the answers

Match the following multiplexer inputs with their effects on displays:

<p>Setting MSD/LSD to 0 = Displays the MSD value Setting MSD/LSD to 1 = Displays the LSD value Switching at high speed = Enables viewing of both digits Input Control = Decides which data to display</p> Signup and view all the answers

Match the following digital design concepts with their explanations:

<p>Parallel Adder = Works with multiple bits simultaneously Transmission Cost = Higher for parallel data systems Data Conversion = Necessary for efficient remote communication System Expansion = Can incorporate more digit displays</p> Signup and view all the answers

Match the following segments of the number '8' with their LED representations:

<p>Top Segment = Segment A Bottom Segment = Segment G Upper Left Segment = Segment B Lower Right Segment = Segment E</p> Signup and view all the answers

Match the following circuits with their application in 7-Segment Displays:

<p>BCD to 7-Segment Display Circuit = Used for direct display of BCD values Multiplexer Circuit = Selects BCD values between two digits Display Output = The visual output from 7-Segment Displays Control Signals = Operates the Multiplexer to switch inputs</p> Signup and view all the answers

Match the following elements of a digital display with their functions:

<p>Display Segments = Light up to form numbers LEDs = Basic building blocks of the display BCD Inputs = Binary numbers displayed on the segments Ground Connection = Defines the low level for the Common Cathode Display</p> Signup and view all the answers

Match the following components of the 2-Input 4-Bit Multiplexer with their descriptions:

<p>G = Active-low pin that enables or disables the multiplexer S = Select input line that connects either set A or B to the output 1Y = Output corresponding to set A 2Y = Output corresponding to set B</p> Signup and view all the answers

Match the following inputs of the 2-Input 4-Bit Multiplexer with their types:

<p>1A = Active-high input from source A 1B = Active-high input from source B 2A = Active-high input from source A 2B = Active-high input from source B</p> Signup and view all the answers

Match the configuration of the 8-Input Multiplexer with its function:

<p>74X153 = Dual 4-input multiplexer used to create 8-input multiplexer NOT gate = Used to connect the two enable inputs of the multiplexers C input = Determines which multiplexer to select based on its state OR gate = Combines the outputs of the two multiplexers</p> Signup and view all the answers

Match the following outputs of the 2-Input 4-Bit Multiplexer with their corresponding inputs:

<p>1Y = Connected to input 1A when G=0 and S=0 2Y = Connected to input 2A when G=0 and S=0 3Y = Connected to input 3B when G=0 and S=1 4Y = Connected to input 4B when G=0 and S=1</p> Signup and view all the answers

Match the following terms related to multiplexers with their correct definitions:

<p>Multiplexer = Device that selects one of many inputs and forwards it to a single output Enable pin = Pin that activates or deactivates the multiplexer Select line = Control line that determines which input is chosen Expanded multiplexer = Formed by connecting multiple smaller multiplexers together</p> Signup and view all the answers

Match the following select input configurations of the 8-Input Multiplexer with their corresponding operations:

<p>C=0 = Selects inputs from the first multiplexer (1C0, 1C1, 1C2, 1C3) C=1 = Selects inputs from the second multiplexer A and B = Determines specific input selected from chosen multiplexer Outputs = Connected together through an OR gate to provide final output</p> Signup and view all the answers

Match the following descriptions of the function table with the correct output behavior of the 2-Input 4-Bit Multiplexer:

<p>G=1 = All outputs are low (0) G=0 and S=0 = Outputs correspond to inputs from set A G=0 and S=1 = Outputs correspond to inputs from set B With G=0 = Function of the multiplexer is active and selecting inputs</p> Signup and view all the answers

Match the following components involved in multiplexers with their purposes:

<p>Input = Source of data fed into the multiplexer Output = Destination where selected data from inputs is sent Select line = Input line used to determine which input to select Enable pin = Pin that controls the operational state of the multiplexer</p> Signup and view all the answers

Match the following multiplexer types with their specifications:

<p>8-to-1 Multiplexer = Uses two 4-to-1 multiplexers 16-Input Multiplexer = Uses two 4-input, dual multiplexers 2-Input, 8-Bit Multiplexer = Uses two 2-input, 4-bit multiplexers 4-to-1 Multiplexer = Selects one out of four inputs</p> Signup and view all the answers

Match the following components with their roles in a multiplexer circuit:

<p>Select Inputs = Determine which data input is passed to the output Enable Inputs = Activate the selection of a specific multiplexer Decoder = Enables one out of multiple multiplexers based on binary inputs OR Gate = Combines outputs from multiple multiplexers</p> Signup and view all the answers

Match the following input combinations with their corresponding outputs for an 8-to-1 multiplexer:

<p>0, 0, 0 = 1C0 1, 0, 1 = 2C1 0, 1, 1 = 1C3 1, 1, 0 = 2C2</p> Signup and view all the answers

Match the following inputs to their descriptions in a 16-input multiplexer:

<p>Inputs C and D = Enable the selection of the multiplexers Ground State = Deactivates the active-low multiplexer enable inputs Active-low Outputs = Used to select multiplexers in the 16-input multiplexer 4-bit inputs = Represent data being passed through multiplexers</p> Signup and view all the answers

Match the following binary input combinations to their outputs in a 2-input, 8-bit multiplexer:

<p>Logic low S = Selects 4-bit inputs A Logic high S = Selects 4-bit inputs B Two 2-input, 4-bit multiplexers = Forms a 2-input, 8-bit multiplexer Simultaneous selection = Occurs when S is set to low for both multiplexers</p> Signup and view all the answers

Match the following multiplexing terms with their definitions:

<p>Multiplexer = A device that selects one of many inputs and forwards the selected input to a single output Active-low = Requires a low level to activate a function Function table = Describes the relationship between inputs and outputs for a multiplexer Disable = Prevents the operation of multiplexers when certain conditions are met</p> Signup and view all the answers

Match the following outputs to their corresponding selectors in an 8-to-1 multiplexer:

<p>1C0 = 0, 0, 0 1C1 = 0, 0, 1 2C0 = 1, 0, 0 2C3 = 1, 1, 1</p> Signup and view all the answers

Match the following multiplexer configurations to their advantages:

<p>8-to-1 Multiplexer = Reduces the number of selectors needed 16-Input Multiplexer = Expands the number of selectable inputs without increasing complexity 2-Input, 8-bit Multiplexer = Allows simultaneous data selection for efficiency 4-to-1 Multiplexer = Simple design ideal for basic applications</p> Signup and view all the answers

Match the multiplexer inputs with their corresponding output states based on the function table:

<p>G=1, D=0, C=0, B=0, A=0 = Output 0 G=0, D=0, C=0, B=0, A=0 = Output 1C0 (M1) G=0, D=0, C=0, B=0, A=1 = Output 1C1 (M1) G=0, D=0, C=1, B=1, A=1 = Output 2C3 (M2)</p> Signup and view all the answers

Match the applications of multiplexers with their descriptions:

<p>Data router = Routes data from multiple sources to one destination Parallel to serial converter = Converts parallel data into serial form Logic function generator = Generates logic functions based on inputs Operation sequencing = Manages the order of operations in digital circuits</p> Signup and view all the answers

Match the enable input G value with the corresponding multiplexer state:

<p>G=0 = Multiplexer enabled G=1 = Multiplexer disabled G=0 with 1 as input = Routes data based on input conditions G=1 with any input = Outputs a fixed state</p> Signup and view all the answers

Match the multiplexer output designations with their binary input combinations:

<p>1C0 (M1) = D=0, C=0, B=0, A=0 2C2 (M2) = D=1, C=1, B=1, A=0 1C1 (M1) = D=0, C=0, B=0, A=1 2C0 (M2) = D=1, C=0, B=0, A=0</p> Signup and view all the answers

Match the input combinations to their respective outputs in the context of M1 multiplexing:

<p>D=0, C=0, B=0, A=0 = 1C0 D=0, C=0, B=1, A=0 = 2C0 D=0, C=1, B=1, A=1 = 2C2 D=1, C=0, B=0, A=1 = 1C1</p> Signup and view all the answers

Match the multiplexer states to their outputs according to the given table:

<p>G=0, D=1, C=1, B=0, A=0 = 2C0 (M2) G=0, D=0, C=1, B=0, A=1 = 1C2 (M1) G=0, D=0, C=1, B=1, A=1 = 2C3 (M1) G=0, D=0, C=0, B=1, A=1 = 1C3 (M2)</p> Signup and view all the answers

Match the given outputs with their respective multiplexer components:

<p>1C2 (M1) = D=0, C=0, B=1, A=0 2C1 (M2) = D=1, C=1, B=0, A=1 1C3 (M2) = D=1, C=0, B=1, A=1 2C3 (M1) = D=0, C=1, B=1, A=1</p> Signup and view all the answers

Flashcards

2-Input 4-Bit Multiplexer

A device that selects one of two sets of 4-bit inputs (1A, 2A, 3A, 4A and 1B, 2B, 3B, 4B) and routes them to a 4-bit output (1Y, 2Y, 3Y, 4Y) based on a single select input (S).

Select Input (S)

A single input line that determines which set of 4-bit inputs (A or B) is passed to the output.

Enable Input (G)

An active-low input that enables or disables the multiplexer. When G is high (1), the multiplexer is disabled, and the output is 0. When G is low (0), the multiplexer is enabled.

Function Table of a 2-Input 4-Bit Multiplexer

A table that shows the relationship between the inputs (G, S) and the outputs (1Y, 2Y, 3Y, 4Y) of the multiplexer.

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Expanding Multiplexers

Connecting multiple smaller multiplexers together to create a larger multiplexer with more inputs.

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8-Input Multiplexer

A multiplexer capable of selecting one out of eight input lines and routing the selected data to the output.

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74X153 Multiplexer

A dual 4-input multiplexer that can be connected to form an 8-input multiplexer.

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C Input in an 8-Input Multiplexer

An input that enables either the first or the second 4-input multiplexer, creating a single 8-input multiplexer.

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8-to-1 Multiplexer

A device that selects one out of eight input lines and routes it to a single output line based on a 3-bit select code.

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Function Table of an 8-to-1 Multiplexer

A table listing all possible combinations of select code inputs and the corresponding output based on the selected input.

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16-Input Multiplexer Construction

A 16-input multiplexer can be constructed using two 74XX153 dual, 4-input multiplexers and a 2-to-4 decoder.

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Decoder Function in a 16-Input Multiplexer

The decoder selects one of the four 4-input multiplexers based on the higher order select inputs C and D.

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Active-Low Enable Inputs

Inputs that are enabled by a logic low signal, commonly used for selecting a particular multiplexer.

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Multiplexer Enable Inputs

Inputs that control the overall operation of the multiplexer, enabling or disabling its function.

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Simultaneous Selection in 2-Input, 8-bit Multiplexer

The select input (S) is connected to both 4-bit multiplexers, causing both to select the same input set simultaneously.

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Multiplexer Enable/Disable

Multiplexers can be enabled or disabled through the use of an enable input (G). When enabled, the multiplexer selects one of its input channels to pass to the output. When disabled, the output is typically a fixed value (e.g., 0) or remains in its previous state.

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Multiplexer Function

A multiplexer (MUX) acts as a data selector. It takes multiple input signals and selects one of them to pass to the output based on the value of the select input lines. The select lines determine which input channel is chosen.

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Parallel to Serial Converter

A multiplexer can be used to convert data from parallel format (multiple bits transmitted simultaneously) to serial format (bits transmitted one at a time). By sequentially selecting each parallel input bit and sending it to the output, the parallel data is converted to serial.

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Logic Function Generator

Multiplexers can be used to implement various Boolean logic functions (AND, OR, XOR, NOT). By strategically setting the inputs and select lines, the output of the multiplexer can be made to represent the desired logic function.

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Operation Sequencing

Multiplexers can be used to control the execution sequence of operations in a system. Different input channels can represent different actions or states, and selecting the appropriate input allows the desired operation to be executed.

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Multiplexer Applications

Multiplexers have wide applications in various areas. Their primary use is routing data from multiple sources to a single destination. They are also used as parallel-to-serial converters, logic function generators, and for operation sequencing.

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BCD to 7-Segment Decoder

A circuit that converts a 4-bit Binary Coded Decimal (BCD) input to a 7-segment display output, controlling the LEDs to display the corresponding decimal digit.

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Common Anode 7-Segment Display

A 7-segment display where all the positive ends of the LEDs are connected together. To light up a segment, its negative end is connected to ground, while the common anode is held high (+5 volts).

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Common Cathode 7-Segment Display

A 7-segment display where all the negative ends of the LEDs are connected together. To light up a segment, its positive end is connected to +5 volts, while the common cathode is grounded.

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2-Digit Decimal Display Circuit

A circuit designed to display two decimal digits using two 7-segment displays. It often uses a BCD to 7-Segment decoder for each digit and a multiplexer to select which digit is displayed.

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Multiplexer (Mux)

A device that selects one of multiple input signals and routes it to a single output. In this case, it selects which BCD input to send to the 7-segment decoder.

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7-Segment Display Output

The set of 7 LEDs that form the shape of a digit on the 7-segment display.

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BCD Input

A 4-bit binary code representing a decimal digit (0-9).

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MSD (Most Significant Digit)

The leftmost digit in a multi-digit number, having the highest place value.

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Sequential Process

A series of steps that must be completed in a specific order, where each step can only start after the previous one finishes.

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Signal for Process Completion

A signal generated when a specific step in a sequential process has finished, indicating that the next step can begin.

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Multiplexer-Decoder Control System

A system that uses a multiplexer and a decoder to control the sequence of operations in a process.

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Counter's Role in Control

A counter that controls the sequence of operations by providing the select input to the multiplexer and decoder.

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Decoder's Function in Control

Receives input from the counter and activates the respective process by generating a specific output.

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Multiplexer's Function in Control

Selects the input corresponding to the current step, determined by the counter's output.

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Variable Process Duration

Each step in the sequential process can have different durations depending on factors like quantity or parameters.

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Resetting the Counter

The counter is reset to 00 to start the sequential process from the beginning.

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MSD/LSD Input

A single input that determines which of the two 7-segment displays (MSD or LSD) is selected for displaying the current value.

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Parallel Data

Data represented by a set of multiple bits transmitted simultaneously over separate wires.

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Serial Data

Data represented by a sequence of single bits transmitted one after the other over a single wire.

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Parallel-to-Serial Conversion

The process of converting parallel data into serial data, allowing transmission over a single wire.

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Study Notes

2-Input 4-Bit Multiplexer

  • The MSI 74X157 is a 2-input, 4-bit multiplexer
  • It has two sets of 4-bit inputs
  • It has 4-bit outputs
  • A single select input line connects either the first or second set of 4-bit inputs to the output
  • Four bits of data from two sources are routed to the output

Function Table

  • Table 18.1 shows the function table of a 2-input 4-bit multiplexer
  • The multiplexer has two sets of 4-bit active-high inputs (1A, 2A, 3A, 4A and 1B, 2B, 3B, 4B)
  • The multiplexer has 4-bit active-high outputs (1Y, 2Y, 3Y, 4Y)
  • The single select input allows either the 4-bit input A or the 4-bit input B to be connected to the 4-bit output Y.
  • The G (active-low) pin enables or disables the multiplexer.

8-Input Multiplexer

  • A single dual 4-input multiplexer (74X153) can be connected to create an 8-input multiplexer
  • The circuit and function table are shown in Figure 18.2 and Table 18.2
  • The two active-low enable inputs of the multiplexers are connected together with a NOT gate
  • When C is 0, the first multiplexer is selected
  • When C is 1, the second multiplexer is selected
  • The outputs from the two multiplexers are connected through an OR gate

16-Input Multiplexer

  • Two 74XX153 dual, 4-input multiplexers can create a 16-input multiplexer
  • The circuit and function table are shown in Figure 18.3 and Table 18.3
  • The select inputs A and B of the two multiplexers are connected together
  • Four active-low multiplexer enable inputs select one of the four multiplexers
  • These enable inputs are connected to the outputs of a 2-to-4 decoder
  • The outputs are connected via an OR gate

2-Input, 8-bit Multiplexer

  • Two 2-input, 4-bit multiplexers (74X157) can be used to create a 2-input, 8-bit multiplexer.
  • The circuit diagram is in Figure 18.4
  • The S inputs of the multiplexers are connected together
  • The A inputs are selected when S is low
  • The B inputs are selected when S is high
  • The enable inputs are also connected together

Applications

  • Multiplexers route data from multiple sources to a single destination
  • They are used as data routers, parallel-to-serial converters, logic function generators, and for sequencing operations

Data Routing for 7-Segment Display

  • Two-digit 7-segment displays use two BCD-to-7-segment display circuits
  • BCD input (0010 to represent 2 and 1001 to represent 9) is applied to the MSD and LSD display circuits
  • BCD-to-7-segment decoding circuits create the 7-segment display outputs
  • The display circuit can be implemented using a single BCD-to-7-segment IC and a multiplexer

Common Anode/Cathode 7-Segment Displays

  • Common anode and common cathode are two types of 7-segment displays
  • Common anode: Positive end of each segment is connected
  • Common cathode: Negative end of each segment is connected

Parallel to Serial Conversion

  • Parallel data (multiple bits) must be converted to serial data (single bits) for transmission over a single wire
  • An 8-bit parallel data can be made serial using an 8-to-1 multiplexer
  • A counter connected to the multiplexers' selection inputs routes each bit serially

Logic Function Generator

  • Multiplexers can implement logic functions directly from a function table—no simplification needed
  • Function variables become select inputs
  • Input values become connected to logic 1 or 0 to represent terms

Operation Sequencing

  • Many manufacturing processes run in a sequence (paint manufacturing as an example)
  • A counter and multiplexer sequence steps of a process
  • Signals indicate the completion of a step, initiating the next process

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Description

Test your understanding of the 2-input 4-bit multiplexer, particularly the MSI 74X157 model. This quiz covers the function table, input/output configurations, and the enable mechanism of the multiplexer. Prepare to answer questions about routing data between inputs and the output!

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