Question: [10] To use an extra symbol like 2 is costly when expressed in bits. Show that the coding of strings consisting of k zeros and

[10] To use an extra symbol like 2 is costly when expressed in bits. Show that the coding of strings consisting of k zeros and ones and one 2 requires messages of about k + log k bits.

Comments. Hint: there are 2k(k + 1) such strings.

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