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GATE | GATE IT 2006 | Question 20

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Which of the following statement(s) is TRUE?

  1. A hash function takes a message of arbitrary length and generates a fixed length code.
  2. A hash function takes a message of fixed length and generates a code of variable length.
  3. A hash function may give the same hash value for distinct messages.

(A)

I only

(B)

II and III only

(C)

I and III only

(D)

II only



Answer: (C)

Explanation:

Hash function is defined as any function that can be used to map data of arbitrary size of data to a fixed size data.. The values returned by a hash function are called hash values, hash codes, digests, or simply hashes  :  Statement 1 is correct Yes, it is possible that a Hash Function maps a value to a same location in the memory that\’s why collision occurs and we have different technique to handle  this problem : Statement 3 is correct. eg : we have hash function, h(x) = x mod 3 Acc to Statement 1, no matter what the value of \’x\’ is h(x) results in a fixed mapping location. Acc. to Statement 3, h(x) can result in same mapping mapping location for different value of \’x\’ e.g. if x = 4 or x = 7 , h(x) = 1 in both the cases, although collision occurs.   


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Last Updated : 20 Sep, 2021
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