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How many comparators would a 12-bit flash ADC require?
- a)2512
- b)3095
- c)4095
- d)4000
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
How many comparators would a 12-bit flash ADC require?a)2512b)3095c)40...
No of comparators required for n bit flash type ADC is (2n - 1)
Given that, n = 12
No of comparators = 4095
Most Upvoted Answer
How many comparators would a 12-bit flash ADC require?a)2512b)3095c)40...
Understanding Flash ADCs
A flash Analog-to-Digital Converter (ADC) is the fastest type of ADC, utilizing a parallel approach to convert an analog signal to a digital output. The bit resolution of the ADC determines the number of discrete levels it can distinguish.
Calculating Comparators
For an N-bit flash ADC, the number of comparators needed can be calculated using the formula:
- Total Comparators = 2^N - 1
This is because a flash ADC needs comparators to compare the input voltage against multiple reference voltages.
Applying the Formula
For a 12-bit flash ADC:
- N = 12
- Total Comparators = 2^12 - 1
- Total Comparators = 4096 - 1 = 4095
Thus, a 12-bit flash ADC requires 4095 comparators.
Why 4095?
- Resolution: Each bit doubles the number of levels. A 12-bit ADC can distinguish 4096 discrete levels (from 0 to 4095).
- Comparators: The formula accounts for the need to compare the input signal against each level, thus requiring one less comparator than the number of levels.
Conclusion
Therefore, the correct answer is option 'C' - 4095 comparators are necessary for a 12-bit flash ADC to function effectively. This design ensures that the ADC can accurately convert the analog input to its digital equivalent in the shortest time possible.
A flash Analog-to-Digital Converter (ADC) is the fastest type of ADC, utilizing a parallel approach to convert an analog signal to a digital output. The bit resolution of the ADC determines the number of discrete levels it can distinguish.
Calculating Comparators
For an N-bit flash ADC, the number of comparators needed can be calculated using the formula:
- Total Comparators = 2^N - 1
This is because a flash ADC needs comparators to compare the input voltage against multiple reference voltages.
Applying the Formula
For a 12-bit flash ADC:
- N = 12
- Total Comparators = 2^12 - 1
- Total Comparators = 4096 - 1 = 4095
Thus, a 12-bit flash ADC requires 4095 comparators.
Why 4095?
- Resolution: Each bit doubles the number of levels. A 12-bit ADC can distinguish 4096 discrete levels (from 0 to 4095).
- Comparators: The formula accounts for the need to compare the input signal against each level, thus requiring one less comparator than the number of levels.
Conclusion
Therefore, the correct answer is option 'C' - 4095 comparators are necessary for a 12-bit flash ADC to function effectively. This design ensures that the ADC can accurately convert the analog input to its digital equivalent in the shortest time possible.
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Community Answer
How many comparators would a 12-bit flash ADC require?a)2512b)3095c)40...
No of comparators required for n bit flash type ADC is (2n - 1)
Given that, n = 12
No of comparators = 4095
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How many comparators would a 12-bit flash ADC require?a)2512b)3095c)4095d)4000Correct answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about How many comparators would a 12-bit flash ADC require?a)2512b)3095c)4095d)4000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many comparators would a 12-bit flash ADC require?a)2512b)3095c)4095d)4000Correct answer is option 'C'. Can you explain this answer?.
How many comparators would a 12-bit flash ADC require?a)2512b)3095c)4095d)4000Correct answer is option 'C'. Can you explain this answer? for GATE 2025 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about How many comparators would a 12-bit flash ADC require?a)2512b)3095c)4095d)4000Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How many comparators would a 12-bit flash ADC require?a)2512b)3095c)4095d)4000Correct answer is option 'C'. Can you explain this answer?.
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