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1. print a list of all the numbers between A and B inclusive:

  void print_between(int A, int B)
  { int x = A;
    while (x <= B)
    { cout << x << " ";
      x = x + 1; }
    cout << "\n"; }

  void main()
  { print_between(1, 20);
    print_between(17, 43); }

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2. print a centigrade to fahrenheit conversion table for the
   range 0 to 30 centigrade.

  void main()
  { double centi = 0.0;
    while (centi <= 30.0)
    { const double fahre = centi*9/5+32;
      cout << centi << " deg C = " << fahre << " deg F\n";
      centi = centi + 2.0; } }

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3. print out the Fibonacci sequence until the value exceeds
   one million

  void main()
  { int A = 0, B = 1;
    while (B <= 1000000)
    { cout << B << " ";
      const int next = A+B;
      A = B;
      B = next; }
    cout << "\n"; }

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4. What is the result of adding together all the numbers between
   A and B?

  int add_between(int A, int B)
  { int N = A, sum = 0;
    while (N <= B)
    { sum = sum + N;
      N = N + 1; }
    return N; }

  void main()
  { cout << "11+12+13+...+24 = " << add_between(11, 24) << "\n"; }

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5. What is the result of adding together the cubes of all the 
   numbers between A and B?

  int cubes_between(int A, int B)
  { int N = A, sum = 0;
    while (N <= B)
    { sum = sum + N*N*N;
      N = N+1; }
    return N; }

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6. Print the number N, padded with spaces so that it occupies
   exactly 11 characters.

  int digits_in(int X)
  { int count = 1;
    while (X >= 10)
    { X = X/10;
      count = count+1; }
    return count; }

  void print_so_many_spaces(int num_to_print)
  { while (num_to_print > 0)
    { cout << " ";
      num_to_print = num_to_print-1; } }

  void print_int_in_eleven_characters(int N)
  { print_so_many_spaces(11 - digits_in(N));
    cout << N; }

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7. What is the Nth number in the Fibonacci sequence?

  int nth_in_fib(int N)
  { int A = 0, B = 1, count = 1;
    while (count < N)
    { const int next = A+B;
      A = B;
      B = next;
      count = count+1; }
    return B; }

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8. Show what the multiplication table would look like if we
   did all our calculations modulo ten.

  void main()
  { int row = 0;
    while (row < 10)
    { int column = 0;
      while (column < 10)
      { cout << " " << row*column%10;
        column = column+1; }
      cout << "\n";
      row = row+1; } }

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