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The main differnce between the Hartley and Shannon measures of information is that Shannon uses the average amount of uncertainty and information to measure how much information is present in a message thus accounting for the higher or lower probability of the alternatives in a problem. Hartley on the other hand can not acount for the different probabilties of different alternatives. To find Shannon's measure of entropy you divide the average amount of uncertainty for a set of wieghted alternatives by the average amount of information needed to remove the uncertainty. Hartley's method simply takes the amount of uncertainty associated with a set of alternatives divided by the amount of information needed to remove this uncertainty.