1. Huffman Codes Analysis of Algorithms Prof. Muhammad Saeed 1

2. CharacterCodeFrequencyTotal Bits a0001030 e0011545 i0101236 s01139 t100412 space1011339 newline11013 Total 58174 Standard Coding Scheme Table Code length=3 Tree Analysis of Algorithms 2

3. CharacterCodeFrequencyTotal Bits a0001030 e0011545 i0101236 s01139 t100412 space1011339 newline11012 Total 58173 Standard Coding Scheme Tree Table Code length=3 Analysis of Algorithms 3

4. CharacterCodeFrequencyTotal Bits a0011030 e011530 i101224 s00000315 t0001416 space111326 newline0000115 Total 58146 Standard Coding Scheme Table Variable Code Length Tree Analysis of Algorithms 4 Prefix Code

5. CharacterCodeFrequencyTotal Bits a0011030 e011530 i101224 s00000315 t0001416 space111326 newline0000115 Total 58146 Standard Coding Scheme Table Formation of Tree and Code generation Analysis of Algorithms 5

6. CharacterCodeFrequencyTotal Bits a0011030 e011530 i101224 s00000315 t0001416 space111326 newline0000115 Total 58146 Standard Coding Scheme Table Formation of Tree and Code generation Analysis of Algorithms 6

7. CharacterCodeFrequencyTotal Bits a0011030 e011530 i101224 s00000315 t0001416 space111326 newline0000115 Total 58146 Standard Coding Scheme Table Formation of Tree and Code generation Analysis of Algorithms 7

8. CharacterCodeFrequencyTotal Bits a0011030 e011530 i101224 s00000315 t0001416 space111326 newline0000115 Total 58146 Standard Coding Scheme Table Formation of Tree and Code generation Analysis of Algorithms 8

9. CharacterCodeFrequencyTotal Bits a0011030 e011530 i101224 s00000315 t0001416 space111326 newline0000115 Total 58146 Standard Coding Scheme Table Formation of Tree and Code generation Analysis of Algorithms 9

10. CharacterCodeFrequencyTotal Bits a0011030 e011530 i101224 s00000315 t0001416 space111326 newline0000115 Total 58146 Standard Coding Scheme Table Formation of Tree and Code generation Analysis of Algorithms 10

11. CharacterCodeFrequencyTotal Bits a0011030 e011530 i101224 s00000315 t0001416 space111326 newline0000115 Total 58146 Standard Coding Scheme Table Analysis of Algorithms 11 Formation of Tree and Code generation

12. Analysis of Algorithms 12

13. Analysis of Algorithms 13 SymbolProbabilityCodeword K0.0510101 L0.201 U0.1100 W0.0510100 E0.311 R0.200 ?0.11011 Example:

14. End Huffman Codes Analysis of Algorithms 14