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Which of the following represents a number of output lines for a decoder with 4 input lines?
- a)15
- b)16
- c)17
- d)18
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Which of the following represents a number of output lines for a decod...
Answer:
A decoder is a combinational circuit that converts binary information from 'n' input lines to a maximum of 2^n unique output lines. The number of output lines for a decoder with 'n' input lines can be calculated using the formula 2^n.
In this case, we are given that the decoder has 4 input lines. So, the number of output lines can be calculated as 2^4, which is equal to 16.
Explanation:
A decoder is a digital circuit that takes binary inputs and produces a unique output line for each possible combination of input values. The number of input lines in a decoder determines the number of unique combinations it can represent.
In general, a decoder with 'n' input lines can represent 2^n unique combinations. This is because each input line can have two possible values, either 0 or 1. So, for 'n' input lines, there are 2^n possible combinations.
In this case, the decoder has 4 input lines. So, the number of unique combinations it can represent is 2^4, which is equal to 16. Therefore, the number of output lines for this decoder is 16.
Conclusion:
The correct answer is option 'B', which represents 16 output lines for a decoder with 4 input lines.
A decoder is a combinational circuit that converts binary information from 'n' input lines to a maximum of 2^n unique output lines. The number of output lines for a decoder with 'n' input lines can be calculated using the formula 2^n.
In this case, we are given that the decoder has 4 input lines. So, the number of output lines can be calculated as 2^4, which is equal to 16.
Explanation:
A decoder is a digital circuit that takes binary inputs and produces a unique output line for each possible combination of input values. The number of input lines in a decoder determines the number of unique combinations it can represent.
In general, a decoder with 'n' input lines can represent 2^n unique combinations. This is because each input line can have two possible values, either 0 or 1. So, for 'n' input lines, there are 2^n possible combinations.
In this case, the decoder has 4 input lines. So, the number of unique combinations it can represent is 2^4, which is equal to 16. Therefore, the number of output lines for this decoder is 16.
Conclusion:
The correct answer is option 'B', which represents 16 output lines for a decoder with 4 input lines.
Community Answer
Which of the following represents a number of output lines for a decod...
For n input lined decoder will have 2n output lines.
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Which of the following represents a number of output lines for a decoder with 4 input lines?a)15b)16c)17d)18Correct answer is option 'B'. Can you explain this answer?
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Which of the following represents a number of output lines for a decoder with 4 input lines?a)15b)16c)17d)18Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following represents a number of output lines for a decoder with 4 input lines?a)15b)16c)17d)18Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following represents a number of output lines for a decoder with 4 input lines?a)15b)16c)17d)18Correct answer is option 'B'. Can you explain this answer?.
Which of the following represents a number of output lines for a decoder with 4 input lines?a)15b)16c)17d)18Correct answer is option 'B'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about Which of the following represents a number of output lines for a decoder with 4 input lines?a)15b)16c)17d)18Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following represents a number of output lines for a decoder with 4 input lines?a)15b)16c)17d)18Correct answer is option 'B'. Can you explain this answer?.
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