ISRO Electronics & Communication (ECE) 2010 - Question 53

All ISRO Electronics & Communication (ECE) papers | ISRO Electronics & Communication (ECE) 2010

Topic: Electronics Engineering

A zero memory source emits six messages with probabilities 0.3, 0.25, 0.15, 0.12, 0.1 and 0.08. If binary Huffman coding is used, what will be the average code length?

  • A. 2.45 bits
  • B. 3.45 bits
  • C. 2.54 bits
  • D. 3.54 bits

Answer: C. 2.54 bits

Explanation: After constructing the Huffman coding tree and calculating the lengths of each code word multiplied by their probabilities, the average code word length ($\overline{L}$) comes out to approximately $2.54~bits$.

| | All questions of ISRO Electronics & Communication (ECE) 2010