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Which of the following statement(s) is TRUE?
I. A hash function takes a message of arbitrary length and generates a fixed length code.
II. A hash function takes a message of fixed length and generates a code of variable length.
III. A hash function may give the same hash value for distinct messages.
  • a)
    ! only
  • b)
    II and III only
  • c)
    I and llI only
  • d)
    II only
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Which of the following statement(s) is TRUE?I. A hash function takes a...
A hash function takes a message of arbitrary length and generates a fixed length code, by taking mod (some value).
A hash function may give the same hash value for distinct messages.
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Most Upvoted Answer
Which of the following statement(s) is TRUE?I. A hash function takes a...
Understanding Hash Functions
When evaluating the statements about hash functions, it's essential to clarify their characteristics.
Statement Analysis
- Statement I: "A hash function takes a message of arbitrary length and generates a fixed length code."
- True: This is the fundamental property of hash functions. They can process inputs of any length but produce a hash value of a predetermined, fixed length.
- Statement II: "A hash function takes a message of fixed length and generates a code of variable length."
- False: Hash functions do not require fixed-length inputs; they can accept variable-length messages and still produce a fixed-length output.
- Statement III: "A hash function may give the same hash value for distinct messages."
- True: This phenomenon is known as a hash collision. Due to the finite size of the hash output space, different inputs may produce the same output.
Conclusion
Based on the evaluation:
- True Statements: I and III
- False Statement: II
Thus, the correct answer is option 'C', which states that both I and III are true. This accurately reflects the nature of hash functions, highlighting their ability to handle variable input lengths while maintaining a fixed output and acknowledging the possibility of collisions.
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