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2.7. What is the maximum number of codewords in a prefix-free binary code in which the longest codeword has length 7 ? 2.8. In Exercise 1.15 we discussed the problem of representing the numin bers 1,2,3,4,5,6 by a binary code, in such a way all six codewords have the same length. Suppose we now ask for a PF binary code, such that the total length of the codew 3ds is as small as possible. Construct a suitable code, using the tree representation as a guide