Program to convert given number of days in terms of Years, Weeks and Days in C

You are given a number of days, and the task is to convert the given number of days in terms of years, weeks and days.

Let us assume the number of days in a year = 365 (non-leap year).

Syntax

years = total_days / 365
weeks = (total_days % 365) / 7
days = (total_days % 365) % 7

Formula Explanation

• Number of years = (number of days) / 365 − The quotient obtained by dividing the given number of days with 365
• Number of weeks = (number of days % 365) / 7 − The remaining days after extracting years, divided by 7
• Number of days = (number of days % 365) % 7 − The final remainder after extracting years and weeks

Example

The following program converts days into years, weeks, and remaining days −

#include <stdio.h>

const int DAYS_IN_WEEK = 7;
const int DAYS_IN_YEAR = 365;

// Function to convert total days into years, weeks, and days
void convertDays(int total_days) {
    int years, weeks, days;
    
    // Calculate years (assuming non-leap year)
    years = total_days / DAYS_IN_YEAR;
    
    // Calculate weeks from remaining days
    weeks = (total_days % DAYS_IN_YEAR) / DAYS_IN_WEEK;
    
    // Calculate remaining days
    days = (total_days % DAYS_IN_YEAR) % DAYS_IN_WEEK;
    
    printf("Total days: %d<br>", total_days);
    printf("Years: %d<br>", years);
    printf("Weeks: %d<br>", weeks);
    printf("Days: %d<br>", days);
}

int main() {
    int total_days = 209;
    
    printf("Example 1:<br>");
    convertDays(total_days);
    
    printf("\nExample 2:<br>");
    convertDays(1000);
    
    return 0;
}

Example 1:
Total days: 209
Years: 0
Weeks: 29
Days: 6

Example 2:
Total days: 1000
Years: 2
Weeks: 38
Days: 4

How It Works

For 209 days:

• Years: 209 ÷ 365 = 0 (quotient)
• Remaining days: 209 % 365 = 209
• Weeks: 209 ÷ 7 = 29 (quotient)
• Final days: 209 % 7 = 6 (remainder)

For 1000 days:

• Years: 1000 ÷ 365 = 2 (quotient)
• Remaining days: 1000 % 365 = 270
• Weeks: 270 ÷ 7 = 38 (quotient)
• Final days: 270 % 7 = 4 (remainder)

Conclusion

This program efficiently converts total days into years, weeks, and remaining days using integer division and modulo operations. The formula works for any positive number of days assuming a standard 365-day year.