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In searching, the hash function takes an element from a list and divides it by the size of the hash. This method is known as the __________ method.
- a)Hash
- b)Divisior
- c)Dividend
- d)Remainder
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
In searching, the hash function takes an element from a list and divid...
Hashing is a searching technique in which we use a hash table and a hash function in the format of h(k) = k mod m, where m is the size or the slot available in the hash table, and k is given the key.
That's the process in which the position of a key is determined in the hash table.
For example - we have a 12-slotted hash table and we want to locate the position of 100 in that table, then
h(k) = 100 mod 12 = 4 (12*8 will be 96 , and 4 as remainder )
h(k) = 100 mod 12 = 4 (12*8 will be 96 , and 4 as remainder )
A simple rule for calculating mod function -
1- if we have m mod n and m>n, then the mod will return only the remainder.
2- and if m=n then it will result in 0.
3- if m<n then it will return m as the answer.
1- if we have m mod n and m>n, then the mod will return only the remainder.
2- and if m=n then it will result in 0.
3- if m<n then it will return m as the answer.
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In searching, the hash function takes an element from a list and divid...
Hash Function and Division Method:
The division method is a simple hash function technique used to determine the index of an element in a hash table. This method involves dividing the key value of the element by the size of the hash table to obtain the hash value.
Working of the Division Method:
- When a key value is passed to the hash function, it is divided by the size of the hash table.
- The remainder obtained from this division operation is used as the hash value.
- The hash value determines the index at which the element will be stored in the hash table.
Advantages of the Division Method:
- Easy to implement and understand.
- Requires minimal computational resources.
- Generally provides a good distribution of hash values if the hash table size is chosen appropriately.
Example:
Suppose we have a hash table of size 10 and we want to hash the key value 25 using the division method.
- The key value 25 is divided by 10 (size of the hash table).
- The remainder of this division operation is 5.
- Therefore, the element with key value 25 will be stored at index 5 in the hash table.
Conclusion:
The division method is a straightforward approach to generating hash values for elements in a hash table. By dividing the key value by the hash table size and using the remainder as the hash value, this method efficiently distributes elements across the hash table.
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