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Explain uniquely decodable code with example.

Uniquely Decodable Codes: A Deep Dive into Data Compression

What is a Uniquely Decodable Code?

  • A uniquely decodable code ensures that any encoded message can be decoded into only one possible original message.
  • Ambiguity in decoding is eliminated.
  • This is crucial for reliable data transmission and storage.

The Importance of Unique Decodability in Data Compression

  • Avoids information loss during decompression.
  • Enables lossless data compression techniques.
  • Guarantees data integrity.

Example: A Uniquely Decodable Code

  • Consider a code where:
- A = 0 - B = 10 - C = 11
  • The encoded string "01011" can only be decoded as "ABCB".
  • No other interpretation is possible.

Example: A Non-Uniquely Decodable Code

  • Consider a code where:
- A = 0 - B = 01 - C = 011
  • The encoded string "011" could be interpreted as "B" or "C".
  • This is not uniquely decodable, leading to ambiguity.

Prefix-Free Codes (A type of uniquely decodable code)

  • No codeword is a prefix of another.
  • Example: A = 0, B = 10, C = 110, D = 111
  • Ensures unique decodability.
**Google Search Description:** Learn about uniquely decodable codes in data compression. Understand how prefix-free codes ensure reliable decoding and prevent data loss. Master this essential concept for efficient data storage and transmission.
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