Complete the following proof that there cannot be a perfect data compression pro

Question

Complete the following proof that there cannot be a perfect data compression program, i.e. a program that will reduce the length of any file it encounters. Suppose we had such a program. It follows that when we apply this program to an input file of bit length n, it produces an output file of bit length at most n - 1. There are 2^n possible input files of length n, and at most 2^n - 1 output files of length at most n - 1. A site requires you to pick a password that has exactly 10 letters (upper or lower case English alphabet) and 3 digits. The numbers and letters can be mixed and do not need to grouped with each other. How many possible passwords are there? Give the exact answer, but do not evaluate.

Explanation / Answer

5.The Data Compression Program reduces the length of file it encounters.

Since it is stated that compressed output of two input is same and decompressor cannot restore the file,hence there is no perfect data compression program

6ans=5.86640212039472E+25

Related Questions

Navigate

• Browse (All)
• Browse C
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.