Final answer:
A leap year in the Gregorian calendar occurs when the year is divisible by 4, but not every year divisible by 100 is a leap year unless it is also divisible by 400. Thus, a program can determine leap years and display the correct number of days in February for any given year entered by the user.
Step-by-step explanation:
Leap Year Program Logic
To determine whether a year is a leap year or not, the following logic can be applied within a program:
- The year must be divisible by 4.
- If the year can be evenly divided by 100, it is NOT a leap year, unless;
- The year is also evenly divisible by 400. Then it is a leap year.
This means that 1700, 1800, and 1900 were not leap years, even though they are divisible by 4, because they are not divisible by 400. Conversely, 1600 and 2000 were leap years because they are divisible by 400.
User-Entered Year Check
The program can accept a year entered by a user and then apply the leap year determination logic to inform the user whether it is a leap year or not.
Days in February
If the year is determined to be a leap year, February will have 29 days. Otherwise, it will have 28 days. This check is included in the program to display the correct number of days in February for the given year.