An important problem in communications is the efficient representation of data generated by a

discrete source. The process by which this representation is accomplished is called source

encoding. Table below shows a set of symbols with their respective probabilities. These symbols

are sent through a communication channel. Analyse the set of symbols to obtain the appropriate

code using Huffman code algorithm.

Symbol xi X$1$ X$2$ X$3$ X$4$

Probability p$($xi$)0\mathrm{.}40\mathrm{.}30\mathrm{.}20\mathrm{.}1$