Show me the steps to solve Step $1$ The Char Type

Create a complex type called Char that models the primitive type char. In your class,

you are going to want to have the following constructors:

Char Class Methods

Step $2-$ Big Decimal

In Step $1$ you created a class called Char that would do a few things with aprimitive chare type. In this assignment, we are going to use the Char class to create another class called BigDecimal. What this means is that you are going to store digit characters in your Char class and then add new instances of the Char class to create a BigDecimal.

The BigDecimal class is going to need a way to hold all of the Char classes that you add to it so you might want to consider using a vector. I realize that the vector class in Java is somewhat going away so if you are using Java you might want to consider using the ArrayList. From this point forward I will refer to ArrayList and vector as a container. This way I don't have to keep typing both.

Your BigDecimal class should have the following constructors

BigDecimal$()-$ default constructor should simply set your container to three Char objects that contain the values $\text{'}0\text{'}\text{'}.\text{'}\text{'}0\text{'}$

BigDecimal$($String value$)-$ This constructor will parse the string,g taking each digit, putting it into a new Cha,r and adding the Char to the container.

Your BigDecimal class should also contain the following mutators

void setValue$($char ch$)-$ A char that contains a digit

void setValue$($String value$)-$ This does the same as the overloaded constructor that takes a string

BigDecimal add$($BigDecimal$)-$ Adds the values together and returns the result as a Big Decimal

BigDecimal sub$($BigDecimal$)-$ Subtracts the two values and returns the result as a BigDecimal

Note: If you are using C$++,$ feel free to use the $+$ operator instead of the add function.

I am going to let you off the hook for multiplying and dividing, but it should be easy to implement.

Accessors

double toDouble$()-$ Returns the value stored in the container as a double

String toString$()-$ Returns the value store in the container as a string

Char at$($int index $)-$ Returns the value at the particular index as a Char

Other requirement

Before adding anything to your container, you must determine if the value is actually a digit. If it is not then simply stop processing characters at that point. You are also to make sure that not more than one decimal is placed. Basically, I am asking you to have a container that has a well$-$formed number

Step $3$ File IO

Make a change to your BigDecimal class to add the following functions $($methods$)$

int wholeNumber$()-$ Returns only the whole number portion of the decimal number as an int

double fraction$()-$ Returns the fractional portion of the number as double

File IO

Attached at this link is a text file calledNumbers.txtLinks to an external site. that contains several numbers. You are to read in each of these numbers and store them in your BigDecimal class. Basically you are going to need a BigDecimal class for each number that is in the file. Store each BigDecimal in some kind of container like a vector or an ArrayList.

Once you have all of the numbers loaded use a loop to write out all of the numbers into two separate text files. One file called wholeNumbers.txt will hold the whole number portion of the number. The other file call fraction.txt will hold the fractional portion of the number. Make sure you include the decimal point.

Open each of the files in Notepad and make sure that you have one number per line.

Step $4$ Exceptions

Create an exception class called CharException to be thrown in the setChar function that takes an int as a parameter. You should check the range of the int to make sure it is a valid readable character. Basically if the parameter is less than $32$ or greater than $127$ you want to throw a CharException with the message "Invalid Character".

C$++$

Use public inheritance to derive your CharException class from exception. Override the virtual function what $($const char $*$what$())$ so that it returns the message "Invalid Character." Use the what function to display the error message. Below is an image of the main and its output to give you an idea of how the class should work: Finally, a BigDecimalException class that is derived from the CharException class. You should throw this exception anytime that a character is being set that is not a valid character $($a digit or a decimal$).$ You should also throw this exception if more than one decimal is being set. At this point, I am not going to give you many specifics on how to implement this. I will only say that you are to use inheritance. No matter how you implement this class, please have good reasoning for doing so$.$ It is time for all of us to start using what we have learned to formulate our own ideas. Please include the following main.cpp$,$Char.h$,$Char.cpp$,$BigDecimal.h$,$BigDecimal.cpp$,$CharException.h$,$CharException.cpp$,$BigDecimalException.h and BigDecimalException.cpp