Programming Exercises

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

a. Store the number as a Roman numeral.

b. Convert and store the number into decimal form.

c. Print the number as a Roman numeral or decimal number as requested by the user. (Write two separate functions-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: me of type

M 1000

D 500

C 100

L 50

X 10

V 5

I  1

Remember, a 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 decimal number, such as the is place, the 10s place, and so on, requires from zero to four Roman numerals.

d. Test your program using the following 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.

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 Exercise 2. Also, write a program to test various operations on this class.