Questions and Answers
How many types of multiplexers are mentioned in the text?
2
What formula is used to determine the number of select pins in a multiplexer?
$n-1$
In designing a 4x1 MUX using the function FA,B,C=∑(0,1,4,7), how many select pins are required?
2
When designing a 4x1 MUX using a K-map, which variables are put in the select pin?
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If a function is given as F(A,B,C,D)=∑(0,2,5,7,8,10,13,15), how many select pins would be needed to design a MUX?
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What is the purpose of a multiplexer circuit?
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How many select inputs are required for a multiplexer with 16 data inputs?
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In the given example of implementing a three-input XOR using a 4-to-1 multiplexer, which of the following is true?
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What is the purpose of a demultiplexer circuit?
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In the given example of realizing a 4-to-1 multiplexer using 2-to-1 multiplexers, how many 2-to-1 multiplexers are required?
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Which of the following statements about multiplexers is true?
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Study Notes
Multiplexer
- A multiplexer circuit has multiple data inputs, one or more select inputs, and one output.
- The number of data inputs (n) is an integer power of two.
- A multiplexer with n data inputs requires [log2 n] select inputs.
Realizing Multiplexers
- A 4-to-1 multiplexer can be realized using three 2-to-1 multiplexers.
- A 16-to-1 multiplexer can be realized using 4-to-1 multiplexers.
Synthesis of Logic Function using Multiplexers
- A multiplexer can be used to implement a logic function.
- The implementation can be optimized by minimizing the number of inputs.
Implementing Logic Functions using Multiplexers
- A three-input XOR function can be implemented using a 4-to-1 multiplexer.
- Multiplexers can be used to implement various logic functions, such as those described in the examples.
Demultiplexer (Data Distributer)
- A demultiplexer performs the reverse operation of a multiplexer, distributing a single input to multiple outputs.
- A demultiplexer can be implemented using a truth table, such as the one shown for a 1-line to 4-line demultiplexer.
Types of Multiplexers
- The type of multiplexer is determined by the number of data inputs (m) and select inputs (n), where m = 2n.
- Examples of multiplexers include 2x1, 4x1, and 8x1 multiplexers.
Designing Multiplexers using Functions
- To design a multiplexer using a function, the number of select pins is equal to (number of variables - 1).
- The most significant variable is used in the select pin.
- The last variable is used as the input to the multiplexer.
Designing Multiplexers using K-Maps
- K-Maps can be used to design multiplexers, such as 4x1 and 8x1 multiplexers.
- The variables are placed in the select pins and the inputs are determined using the K-Map.
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