1-Write a program that converts a number entered in Roman numberals to decinal form. Your program should consist of a class, say romanType. An object of rmanType should do the following:

a- Store the number a s a Roman numeral.

b- Convert and store the number into decimal form.

c- Print the number as a Roman numeral or decimal number as reqeusted by the user. (Write two separate funtions-one to print the number as a Roman numeral and the other to print the number as a decimal number.)

The decimal values of the Roman numerals are:

M. 1000

D 500

C 100

L 50

X 10

V 5

I 1

Remember the larger numeral preceding a smaller numeral means addition, so LX is 60. A smaller numeral preceding a larger numeral means subtraction, so XL is 40. Any place in a decinal number such as 1s place, the 10s place, and so on, requires zero to four Roman numerals.

d. Test your program using the folowing Roman numerals: MCXIV, CCCLIX, and MDCLXVI

2- Write the definition of the class dayType that implements the day of the week in a program. The class dayType should store the day, such as Sunday for Sunday. The program should be able to perform the following operations on an object of type dayType:

a. Set the day.

b. Print the day.late and return the day by adding . t larly, if today is Tuesday and we add 13 days, to da, the day to be returned is Froda days to the current day. For example, if the current day is Monday and we add 4 day

c. Return the day.

d. Return the next day

e. Return the previous day

f. Calculate and return the day by adding certain days to the current day. For example, if the current day is Monday and we add 4 days, the day to be returned is Friday. Similarly, if today is Tuesday and we add 13 days, the day to be returned is Monday.

g.Add the appropriate constructors.

3- Write the definitions of the functions to implement the operations for the class dayType as defined in Programming Execuse 2, Also, write a program to test various operations on this class.

Chapter 2:

2- Int his chapter, the class dateType was designed to implement the date in a program, but the member function setDate and the constructor do not check whether the date is valid before storing the date in the data members. Rewrite the definitions of the function setDate and the construcor so that the values for the month, day, and year are checked before storing hte date into the data menbers. Add a function member, isLeapYear, to check whether a year is a leap year. Moreover, write a test program to test your class.

6-In programming exercise 2, the class dateType was designed and implemented to keep track of a date, but it has very limited operations. Redefine the class dateType so that it can perform the following operations on a date in addition to the operations already defined:

a- Set the month

b- Set the day.

c- Set the year.

d- Returnt he month

e- Return the day

f- Return the year

g- Test whether the year is a leap year.

h. Return the number of days in the month. For example, if the date is 3-12-2011, the number of days to be returned is 31 because there are 31 days in March.

i. Return the number of days passed in the year. For example, if the date is 3-18-2011, the number of days passed in the year is 77. Note that the number of days returned also includes the current day.

j. Return the number of days remaining in the year. For example, if the date is 3-18-2011, gthe number of days remaining in the year is 288.

k. Calculate the new date by adding a fixed number of days to the datre. For example, f the date is 3-18-2011 adn the days to be added are 25, the new date is 4-12-2011.

20-

a. In Programming Execise 1 in Chapter 1, we defined a class romanType to implement Roman numberals in a program. Int hat exercise, we also implement Roman numerals ina program. In that exercise, we also implemented a function, rmanToDecimal, to cnvert a Roman numberal into its equivalent decimal number.

Modify the definition of the class romanToDecimal, to convert a Roman numeral into its equivalent decimal number.

Modify the definition of the class romanType so that the data membersare declared as protecred. Use the class string to maniputlate extraction operators for easy input and output. The stream insertion operator outputs the Roman numberal in the Roman format.

Also, include a member function, decimalToRman, that converts the decimal number (the decimal number must be a positive integer) to an equivalent Roman numeral format. Wrtie the definition of hte member function decimalToRoman.

For simplicity, we assume that onlyt he letter I can appear in from of another letter and that it appears only in fromt o f the letters V and X. For example, 4 is represented as XXXXIX. Also, 40 will be represented as XXXX, 190 will be representes as CLXXXX, and so on.

b. Derive a class extRomanType fromt he class romanType to do the following. I