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Take a look at the following assertions about counters:


S1: An Overbeck counter has a Hamming distance of 1 and a Johnson counter has a Hamming distance of 2.

S2: In the Overbeck counter, only output sequences 0, 8, 12, 14, 15, 7, 3, 1, 0,... are feasible, but output sequences 2, 1, 8, 4, 2, 1,... are not.

S3: A binary counter may represent 2N states, where N is the number of bits in the code, whereas an Overbeck counter and a Johnson counter can only represent N and 2N states, respectively.

  • a)
    Only S1 and S2 are untrue, whereas S3 is correct.

  • b)
    Only S2 and S3 are untrue, whereas S1 is correct.

  • c)
    Only S1 and S3 are untrue, whereas S2 is correct.

  • d)
    S1, S2, and S3 are all correct.

Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
Take a look at the following assertions about counters:S1: An Overbeck...
Analysis:
Let's analyze each assertion individually and determine if it is true or untrue.

S1: An Overbeck counter has a Hamming distance of 1 and a Johnson counter has a Hamming distance of 2.
The Hamming distance is the minimum number of bit flips required to convert one binary sequence into another. In an Overbeck counter, adjacent states differ by only 1 bit, so the Hamming distance is 1. In a Johnson counter, adjacent states differ by 2 bits, so the Hamming distance is 2. Therefore, S1 is true.

S2: In the Overbeck counter, only output sequences 0, 8, 12, 14, 15, 7, 3, 1, 0,... are feasible, but output sequences 2, 1, 8, 4, 2, 1,... are not.
An Overbeck counter is a cyclic binary counter that follows a specific sequence of states. The sequence mentioned in S2 (0, 8, 12, 14, 15, 7, 3, 1, 0,...) is correct for an Overbeck counter. However, the sequence mentioned in S2 (2, 1, 8, 4, 2, 1,...) is not a feasible output sequence for an Overbeck counter. Therefore, S2 is true.

S3: A binary counter may represent 2^N states, where N is the number of bits in the code, whereas an Overbeck counter and a Johnson counter can only represent N and 2^N states, respectively.
A binary counter is a simple counter that can represent 2^N states, where N is the number of bits in the code. An N-bit binary counter can count from 0 to (2^N)-1. An Overbeck counter and a Johnson counter are specific types of binary counters, so they can also represent 2^N states. Therefore, S3 is untrue.

Conclusion:
From the analysis above, we can conclude that S1 and S2 are true, but S3 is untrue. Therefore, the correct answer is option 'A' - Only S1 and S2 are untrue, whereas S3 is correct.
Free Test
Community Answer
Take a look at the following assertions about counters:S1: An Overbeck...
The following are correct statements: S1: An Overbeck counter has a Hamming distance of 2 while a Johnson counter has a Hamming distance of 1. S2: In the Johnson counter, output sequences of 0, 8, 12, 14, 15, 7, 3, 1, 0,... are feasible, but in the Overbeck counter, output sequences of 2, 1, 8, 4, 2, 1,... are possible. S3: A binary counter may represent 2N states, where N is the number of bits in the code, but an Overbeck counter and a Johnson counter can only represent N states and 2N states, respectively.
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Take a look at the following assertions about counters:S1: An Overbeck counter has a Hamming distance of 1 and a Johnson counter has a Hamming distance of 2.S2: In the Overbeck counter, only output sequences 0, 8, 12, 14, 15, 7, 3, 1, 0,... are feasible, but output sequences 2, 1, 8, 4, 2, 1,... are not.S3: A binary counter may represent 2N states, where N is the number of bits in the code, whereas an Overbeck counter and a Johnson counter can only represent N and 2N states, respectively.a)Only S1 and S2 are untrue, whereas S3 is correct.b)Only S2 and S3 are untrue, whereas S1 is correct.c)Only S1 and S3 are untrue, whereas S2 is correct.d)S1, S2, and S3 are all correct.Correct answer is option 'A'. Can you explain this answer?
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Take a look at the following assertions about counters:S1: An Overbeck counter has a Hamming distance of 1 and a Johnson counter has a Hamming distance of 2.S2: In the Overbeck counter, only output sequences 0, 8, 12, 14, 15, 7, 3, 1, 0,... are feasible, but output sequences 2, 1, 8, 4, 2, 1,... are not.S3: A binary counter may represent 2N states, where N is the number of bits in the code, whereas an Overbeck counter and a Johnson counter can only represent N and 2N states, respectively.a)Only S1 and S2 are untrue, whereas S3 is correct.b)Only S2 and S3 are untrue, whereas S1 is correct.c)Only S1 and S3 are untrue, whereas S2 is correct.d)S1, S2, and S3 are all correct.Correct answer is option 'A'. Can you explain this answer? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Take a look at the following assertions about counters:S1: An Overbeck counter has a Hamming distance of 1 and a Johnson counter has a Hamming distance of 2.S2: In the Overbeck counter, only output sequences 0, 8, 12, 14, 15, 7, 3, 1, 0,... are feasible, but output sequences 2, 1, 8, 4, 2, 1,... are not.S3: A binary counter may represent 2N states, where N is the number of bits in the code, whereas an Overbeck counter and a Johnson counter can only represent N and 2N states, respectively.a)Only S1 and S2 are untrue, whereas S3 is correct.b)Only S2 and S3 are untrue, whereas S1 is correct.c)Only S1 and S3 are untrue, whereas S2 is correct.d)S1, S2, and S3 are all correct.Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Take a look at the following assertions about counters:S1: An Overbeck counter has a Hamming distance of 1 and a Johnson counter has a Hamming distance of 2.S2: In the Overbeck counter, only output sequences 0, 8, 12, 14, 15, 7, 3, 1, 0,... are feasible, but output sequences 2, 1, 8, 4, 2, 1,... are not.S3: A binary counter may represent 2N states, where N is the number of bits in the code, whereas an Overbeck counter and a Johnson counter can only represent N and 2N states, respectively.a)Only S1 and S2 are untrue, whereas S3 is correct.b)Only S2 and S3 are untrue, whereas S1 is correct.c)Only S1 and S3 are untrue, whereas S2 is correct.d)S1, S2, and S3 are all correct.Correct answer is option 'A'. Can you explain this answer?.
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