Homework 2

Choose FIVE of the following seven problems to submit as homework. If you submit fewer than five problems, I will give you partial credit for the problems you do submit.

Each problem must be submitted as its own .cpp file. Grading for each problem is as follows:

• 1 point - problem submitted as a single .cpp files that compiles and runs
• 1 point - proper indentation and formatting of the code
• 2 points - produces correct output

If two or more people submit copies of the same work, every person submitting the copied work will get a 0 for the entire homework.

1. Write a complete C++ program that computes the test average for a course by doing the following:
• Prompt the user to enter their exam grades (all grades out of 100)
• As long as there are more grades being entered, add them to a running total
• When the user enters a negative number, stop collecting input
• Divide the total sum of all grades entered by the count of grades entered
• Print the corresponding letter grade for the test average to the monitor. Use the following letter grade for score range:
• Above 80: A
• 60 to 80: B
• 50 to 59: C
• 45 to 49: D
• Below 44: F
Sample run of program:

Enter a grade: 87 Enter a grade: 89 Enter a grade: 92 Enter a grade: 93 Enter a grade: 86 Enter a grade: -1 Your average test score is 89.4 and your average letter grade is A.
2. Write a complete C++ program that does the following:
• Prompts the user for a positive integer input
• Validates the input and force the user to enter positive integer if they do not do so initially
• Prints to the monitor:
• The count of zeroes in the number
• The count of ones in the number
• The count of prime digits in the number
• The count of composite digits in the number
• The total number of digits in the integer
Sample run of program:

Enter a positive integer input: 713402 There were 1 zeros, 1 ones, 3 prime digits amd 1 composite digits. The number had 6 digits.

Another sample run of the program:

Enter a positive integer input: -3287 Invalid input! Enter a positive integer: 2489 There were 0 zeros, 0 ones, 1 prime digits amd 3 composite digits. The number had 4 digits.
3. Write a complete C++ program that does the following:
• Prompts the user two enter two positive integers
• If the user enters a negative number for either (or both) inputs, end the program
• Prints the following to the monitor:
• Which number is smaller and which number is larger
• A row of * of length equal to the larger number
• A column of * of height equal to the smaller number
Sample run of program:

Enter two positive integers: 12 7 7 is the smallest and 12 is the largest. ************ * * * * * * *

Another sample run of the program:

Enter two positive integers: 5 -12 Invalid input! Goodbye.
4. Write a complete C++ program that does the following:
• Prompts the user for a positive integer each with no more than six digits
• If the user enters a number that does not match the input requirements tells the user "Invalid input" and end the program.
• Counts the number of odd and even digits in the input
• Prints a row of E's of length equal to the count of even digits
• Prints a row of O's of length equal to the count of odd digits
Sample run of program:

Enter a positive integer with six digits or fewer: 67238 EEE OO

Another sample run of the program:

Enter a positive integer with six digits or fewer: 2348912 Invalid input! Goodbye.
5. Write a complete C++ program that does the following:
• Prompts the user for a positive integer with between two and five digits
• Validate the input; force the user to enter a number that matches the input requirements
• Prints the first digit of the input and the last digit of the input.
Sample run of program:

Enter a positive integer with between two and five digits: 1 Invalid input! Enter a positive integer with five digits or fewer: 2432378 Invalid input! Enter a positive integer with five digits or fewer: 8432 The first digit of your input is 8 and the last digit of your input is 2.
6. Write a complete C++ program that does the following:
• Prompts the user for a positive integer
• Validates the input and do not accept a negative number
• Prints the sum of all odd numbers from 1 through the user's number
• Prints the sum of all even numbers from 1 through the user's number
Sample run of program:

Enter a positive integer: -21 Invalid input! Enter a positive integer: 17 The sum of all odd numbers from 1 through 17 is 81. The sum of all even numbers from 1 through 17 is 72.
7. Write a complete C++ program that does the following:
• Prompts the user for two positive integers. Call the first integer num1 and the second integer num2
• num2 must be less than half the value of num1
• If num2 is larger than half the value of the num1, end the program
• Prints all numbers from 1 through num1 that are evenly divisible by num2
• Then, prints all numbers from 1 through num2 that are not evenly divisible by num2
Sample run of program:

Enter two integers. The second must be less than half the value of the first: 12 5 The numbers from 1 to 12 that are evenly divisible by 5 are: 5 10 The numbers from 1 to 12 that are not evenly divisible by 5 are: 1 2 3 4 6 7 8 9 11 12

Another sample run of the program:

Enter two integers. The second must be less than half the value of the first: 12 7 Invalid input! Goodbye.