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Kenneth Rosen Edition 7 Exercise 2.3 Question 1 (Page No. 153)

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Find the domain and range of these functions.

  1. the function that assigns to each pair of positive integers the maximum of these two integers
  2. the function that assigns to each positive integer the number of the digits $0, 1, 2, 3, 4, 5, 6, 7, 8, 9$ that do not appear as decimal digits of the integer
  3. the function that assigns to a bit string the number of times the block $11$ appears
  4. the function that assigns to a bit string the numerical position of the first $1$ in the string and that assigns the value 0 to a bit string consisting of all 0s
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