Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > Assertion (A): A 4 input variable logic circ...
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Assertion (A): A 4 input variable logic circuit can be implemented using a 8 : 1 multiplexer.
Reason (R): When a multiplexer is used as a logic function generator, the logic design is simple.
- a)Both A and R are correct and R is correct explanation of A
- b)Both A and R are correct but R is not correct explanation of A
- c)A is true, R is false
- d)A is false, R is true
Correct answer is option 'B'. Can you explain this answer?
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Assertion (A): A 4 input variable logic circuit can be implemented us...
Assertion (A): A 4 input variable logic circuit can be implemented using a 8 : 1 multiplexer.
Reason (R): When a multiplexer is used as a logic function generator, the logic design is simple.
Explanation:
Let's analyze the given assertion and reason separately:
Assertion (A): A 4 input variable logic circuit can be implemented using a 8 : 1 multiplexer.
To understand this assertion, we need to first understand how a multiplexer works. A multiplexer is a combinational circuit that selects one of many input signals and forwards it to a single output line, depending on the select inputs. The number of select inputs determines the number of input lines in the multiplexer.
In the given assertion, we have a 4 input variable logic circuit. This means that we have 4 input variables, A, B, C, and D. To implement this logic circuit using a multiplexer, we need to use a multiplexer with 4 input lines.
Now, let's consider an 8 : 1 multiplexer. This means that the multiplexer has 8 input lines and 1 output line. The number of select inputs required for an 8 : 1 multiplexer is 3 (2^3 = 8). Therefore, we can use the 3 select inputs to select one of the 8 input lines.
Since we have 4 input variables and 8 input lines in the 8 : 1 multiplexer, we can assign each input line to a specific combination of the input variables. This way, we can implement the 4 input variable logic circuit using the 8 : 1 multiplexer. Therefore, the assertion (A) is correct.
Reason (R): When a multiplexer is used as a logic function generator, the logic design is simple.
The reason states that when a multiplexer is used as a logic function generator, the logic design is simple. This is true because a multiplexer can implement any logic function using its input lines and select inputs. By properly assigning the input variables to the input lines and using the select inputs, we can generate any logic function.
Using a multiplexer as a logic function generator simplifies the logic design because we only need to connect the input variables to the appropriate input lines and set the select inputs accordingly. This eliminates the need for complex gate-level logic design.
Therefore, the reason (R) is also correct.
Conclusion:
Both the assertion (A) and the reason (R) are correct. Additionally, the reason (R) provides a correct explanation of the assertion (A). Therefore, option B is the correct answer.
Reason (R): When a multiplexer is used as a logic function generator, the logic design is simple.
Explanation:
Let's analyze the given assertion and reason separately:
Assertion (A): A 4 input variable logic circuit can be implemented using a 8 : 1 multiplexer.
To understand this assertion, we need to first understand how a multiplexer works. A multiplexer is a combinational circuit that selects one of many input signals and forwards it to a single output line, depending on the select inputs. The number of select inputs determines the number of input lines in the multiplexer.
In the given assertion, we have a 4 input variable logic circuit. This means that we have 4 input variables, A, B, C, and D. To implement this logic circuit using a multiplexer, we need to use a multiplexer with 4 input lines.
Now, let's consider an 8 : 1 multiplexer. This means that the multiplexer has 8 input lines and 1 output line. The number of select inputs required for an 8 : 1 multiplexer is 3 (2^3 = 8). Therefore, we can use the 3 select inputs to select one of the 8 input lines.
Since we have 4 input variables and 8 input lines in the 8 : 1 multiplexer, we can assign each input line to a specific combination of the input variables. This way, we can implement the 4 input variable logic circuit using the 8 : 1 multiplexer. Therefore, the assertion (A) is correct.
Reason (R): When a multiplexer is used as a logic function generator, the logic design is simple.
The reason states that when a multiplexer is used as a logic function generator, the logic design is simple. This is true because a multiplexer can implement any logic function using its input lines and select inputs. By properly assigning the input variables to the input lines and using the select inputs, we can generate any logic function.
Using a multiplexer as a logic function generator simplifies the logic design because we only need to connect the input variables to the appropriate input lines and set the select inputs accordingly. This eliminates the need for complex gate-level logic design.
Therefore, the reason (R) is also correct.
Conclusion:
Both the assertion (A) and the reason (R) are correct. Additionally, the reason (R) provides a correct explanation of the assertion (A). Therefore, option B is the correct answer.
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Assertion (A): A 4 input variable logic circuit can be implemented using a 8 : 1 multiplexer.Reason (R): When a multiplexer is used as a logic function generator, the logic design is simple.a)Both A and R are correct and R is correct explanation of Ab)Both A and R are correct but R is not correct explanation of Ac)A is true, R is falsed)A is false, R is trueCorrect answer is option 'B'. Can you explain this answer?
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