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Assertion (A): Using a decoder could have advantages over using a multiplexer.
Reason (R): The decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are required
Reason (R): The decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are required
- a)Both A and R are true and R is the correct explanation of A.
- b)Both A and R are true but R is not the correct explanation of A.
- c)A is true but R is false!
- d)A is false but R is true.
Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): Using a decoder could have advantages over using a mult...
In cases where non-trivial, a multiple-output expressions of the same input variables are required, a decoder could be advantageous than a multiplexer because in such cases, one multiplexer is required for each output, whereas it is likely that only one decoder supported with a few gates would be required.
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Assertion (A): Using a decoder could have advantages over using a mult...
Assertion (A): Using a decoder could have advantages over using a multiplexer.
Reason (R): The decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are required.
Explanation:
Decoder:
A decoder is a combinational logic circuit that converts binary information from the input lines to the appropriate output lines. It has 'n' input lines and 2^n output lines. The decoder outputs the binary equivalent of the input value applied to the input lines. Each output line of the decoder corresponds to a specific input combination.
Multiplexer:
A multiplexer is a combinational logic circuit that selects one of the multiple input lines and forwards it to a single output line. It has 'n' select lines and 2^n input lines. The output of the multiplexer depends on the values of the select lines.
Advantages of using a decoder:
1. Simplified circuit design: Decoders provide a simplified circuit design as they convert binary information to the appropriate output lines directly. This eliminates the need for complex logic expressions.
2. Multiple-output expressions: Decoders are particularly useful when multiple-output expressions of the same input variables are required. Each output line of the decoder corresponds to a specific input combination, allowing for easy implementation of multiple-output logic functions.
3. Ease of expansion: Decoders can be easily expanded by adding more input lines and output lines. This makes them flexible and suitable for various applications.
4. Cost-effective: Decoders are generally more economical compared to multiplexers due to their simpler design and fewer input lines.
Explanation of the Reason:
The reason states that the decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are required. This is true because decoders provide multiple output lines corresponding to each input combination, making it easier to implement multiple-output logic functions. In contrast, a multiplexer can only select one input line at a time and does not directly provide multiple-output expressions.
Conclusion:
Both the assertion and the reason are true, and the reason correctly explains why using a decoder could have advantages over using a multiplexer. Therefore, the correct answer is option 'A' - Both A and R are true, and R is the correct explanation of A.
Reason (R): The decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are required.
Explanation:
Decoder:
A decoder is a combinational logic circuit that converts binary information from the input lines to the appropriate output lines. It has 'n' input lines and 2^n output lines. The decoder outputs the binary equivalent of the input value applied to the input lines. Each output line of the decoder corresponds to a specific input combination.
Multiplexer:
A multiplexer is a combinational logic circuit that selects one of the multiple input lines and forwards it to a single output line. It has 'n' select lines and 2^n input lines. The output of the multiplexer depends on the values of the select lines.
Advantages of using a decoder:
1. Simplified circuit design: Decoders provide a simplified circuit design as they convert binary information to the appropriate output lines directly. This eliminates the need for complex logic expressions.
2. Multiple-output expressions: Decoders are particularly useful when multiple-output expressions of the same input variables are required. Each output line of the decoder corresponds to a specific input combination, allowing for easy implementation of multiple-output logic functions.
3. Ease of expansion: Decoders can be easily expanded by adding more input lines and output lines. This makes them flexible and suitable for various applications.
4. Cost-effective: Decoders are generally more economical compared to multiplexers due to their simpler design and fewer input lines.
Explanation of the Reason:
The reason states that the decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are required. This is true because decoders provide multiple output lines corresponding to each input combination, making it easier to implement multiple-output logic functions. In contrast, a multiplexer can only select one input line at a time and does not directly provide multiple-output expressions.
Conclusion:
Both the assertion and the reason are true, and the reason correctly explains why using a decoder could have advantages over using a multiplexer. Therefore, the correct answer is option 'A' - Both A and R are true, and R is the correct explanation of A.
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Assertion (A): Using a decoder could have advantages over using a multiplexer.Reason (R): The decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are requireda)Both A and R are true and R is the correct explanation of A.b)Both A and R are true but R is not the correct explanation of A.c)A is true but R is false!d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?
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Assertion (A): Using a decoder could have advantages over using a multiplexer.Reason (R): The decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are requireda)Both A and R are true and R is the correct explanation of A.b)Both A and R are true but R is not the correct explanation of A.c)A is true but R is false!d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about Assertion (A): Using a decoder could have advantages over using a multiplexer.Reason (R): The decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are requireda)Both A and R are true and R is the correct explanation of A.b)Both A and R are true but R is not the correct explanation of A.c)A is true but R is false!d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Assertion (A): Using a decoder could have advantages over using a multiplexer.Reason (R): The decoder is more economical in cases where non-trivial, multiple-output expressions of the same input variables are requireda)Both A and R are true and R is the correct explanation of A.b)Both A and R are true but R is not the correct explanation of A.c)A is true but R is false!d)A is false but R is true.Correct answer is option 'A'. Can you explain this answer?.
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