GATE CSE
First time here? Checkout the FAQ!
x
0 votes
154 views

The following data contains 100 symbols.
If Huffman coding is applied to the given data

 

 

What is the code for the letter ‘E’ if ‘0’ as taken left and ‘1’ is right

A. 101

B. 100

C. 110

D. 111

asked in Algorithms by Active (1.7k points)   | 154 views
I m getting 000
I am also getting 000 but in answer key it is showing as 100.

3 Answers

+1 vote
Best answer

Answer will be either 000 or 111. it depends whether we keep Small Values at LHS and Larger Value at RHS or vice versa:

If we keep larger frequency value at LHS and small Value at RHS then 111 is the correct answer:

answered by Veteran (14.6k points)  
selected by

Nice explanation @ Vijay Thakur . Here 111 is not possible because in question it has been said that 0 to be taken left. 

What happens if we arrage  frequency in descending order and construct the tree ? In this case Im getting 101 . Is it wrong ?
@Anup Patel see my updated solution

Right Answer is Shown as 100. I think there is some error in Options. 

Note Regarding Updated Solution : I think in huffman coding we keep Small Values at left side and large value at right side , we can just assign Value 0 or 1 to Left/Right as per our assumption.

Can someone explain What is the algorithm to form the tree in Huffman Coding ?
What I knew is
At every time we will take  least two probabilities of the numbers after arranging them in ascending order and make min heap .  We will do it iteratevely .

Is it true that when we instertting new symbols also shoudnt we consider this ?
0 votes

Hope this will help

 

answered by (87 points)  
I am waiting for Reply From Ravindrababu Ravula sir Regarding this question . I think there is error in options.
57 is larger value and you kept it at LHS and 43 is smaller value than 57 amd you kept 43 at RHS, ok no problem but in case of 18 and 25. 25 is larger than 18 but you kept it at RHS and 18 at LHS, why??
0 votes
I am getting 000 of "E" letter but answer keys are not matched.
answered by Active (1.3k points)  


Top Users Mar 2017
  1. rude

    4018 Points

  2. sh!va

    2994 Points

  3. Rahul Jain25

    2804 Points

  4. Kapil

    2608 Points

  5. Debashish Deka

    2104 Points

  6. 2018

    1414 Points

  7. Vignesh Sekar

    1336 Points

  8. Bikram

    1218 Points

  9. Akriti sood

    1186 Points

  10. Sanjay Sharma

    1016 Points

Monthly Topper: Rs. 500 gift card

21,446 questions
26,759 answers
60,943 comments
22,955 users