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- [Dr Thomas Britz] Hi and welcome to the University of New South Wales, in particular the School of Mathematics and Statistics. My name is Thomas Britz and Iamp;#39;ll be looking at problem 39, from the course MATH3411. In this problem weamp;#39;re going to look at arithmetic encoding and decoding. Arithmetic coding is very similar to making decision trees except that instead of drawing graphs and nodes with edges, etc, weamp;#39;re going to be looking at actual real numbers and look at intervals and sub-divide them and each sub-divided interval corresponds to a node in the decision tree if weamp;#39;re to think of this in terms of graphs. So in this example we have a source with 4 symbols, s1, s2, s3 and a stop symbol, just like with morse code for instance. And each of those symbols has a given probability, 0.4, 3, 2 and 1, for these in that order. So the stop symbol here is not really useful in the encoding bit but it is quite useful in the decoding bit because the algorithm
