Assignment 5.2: Applying Integer Division and Modulus (10 pts)

• In Java dividing one integer by another truncates the remainder, which removes the decimal part. To compute the integer remainder, we use the remainder operator (%), also known as the modulus operator.
• The % operator finds the remainder after division of one number by another. The Java expression a % b (pronounced a mod b) returns the remainder of the division of a by b if both numbers are positive. For example:

   3  r 1
2 ) 7
   -6
    1 remainder

• For this assignment we will use both the division and remainder operators to extract single digits form an integer number.
• Write a program that gets three numbers from the user and then sums:
• the hundreds digit of the first number
• with the tens digit of the second number and
• the unit digit of the third number.

• For example, the sum of the diagonal digits of the following three numbers is 3 because the numbers are all 1 on the diagonal as shown by the highlight.

  123
  416
  781
  

• Name the source code file SumDiagonal.java and include all your code in this single file.
• Be careful of the spelling, including capitalization, as you will lose points for a misspelled name. Naming is important in programming.

  Enter first number:  123
  Enter second number: 416
  Enter third number:  781
  Sum of diagonal digits is 3
  

  Enter first number:  123
  Enter second number: 456
  Enter third number:  789
  Sum of diagonal digits is 15
  

  Enter first number:  1234
  Enter second number: 56
  Enter third number:  789
  Sum of diagonal digits is 16
  

  Enter first number:  1
  Enter second number: 2
  Enter third number:  3
  Sum of diagonal digits is 3
  

  
  In the above example output, the user entered the values shown in aqua italics (for emphasis) to produce the output. Your program does NOT print the characters in aqua italics, nor does the user input appear in aqua italics.
  

  Notice the fourth example. Entering a 1 is the same as 001. Similarly, entering a 2 is the same as entering 002 and entering a 3 is the same as entering 003. Thus arranging the three numbers in a matrix of rows and columns shows us how the answer was derived.

  001
  002
  003
  

• Ask the user for the three integer numbers, and no other input, as shown in the Example Run.
• Use the division operator (/) and remainder operator (%) to extract digits from the numbers entered by the user.
• Example Output: The input prompts and outputs of the program must look like the following for full credit, including the same order of input and same wording of the output. For the input shown you must get the same output. However, the output must change properly if the inputs are different.
• After displaying the output, exit the program.
• Do not use if-statements, strings or techniques we have not covered.
• Submit SumDiagonal.java to Canvas when your program works as shown.

• We are going to create a calculator program using the math methods from the Math class.
• Open a new Java class in Eclipse called Maths.java
• Create a program that prompts the user to input a number, and then performs calculations on that number.
• Your calculator is going to perform the following operations on that number:

• Raise the number to the power of 2, 3, and 4 (square, cube, quartic)
• Calculate the floor of the number
• Calculate the ceiling of the number
• Calculate the square root of the number
• Calculate the natural log of the number (hint: use the log function)
  
• Your program should give output as shown below when the user enters 2.5. However, if the user enters another number, the output should change.
  
• When you are finished, upload your Maths.java file to Canvas.