# If else condition to determine if a year is a leap year

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chafah zachary on 7 Mar 2014
Commented: Rik on 31 Mar 2020
Hi there. Given a variable Y which stores a year in the 20th century (between 1901 and 2000), write MATLAB code to create a variable Days and assign it a value of 366 if the year is a leap year or a value of 365 otherwise.
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Jos (10584) on 7 Mar 2014
Homework, not? What did you try yourself?

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### Accepted Answer

Jos (10584) on 7 Mar 2014
function Days = GetDays (Y)
if isLeapYear(Y)
Days = 365 ;
else
Days = 366 ;
end
Now your problem is to write second function IsLeapYear that returns true for leap years. (hint: see Nitin's answer)
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chafah zachary on 8 Mar 2014
Thank you Jos. I got it

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### More Answers (3)

Nitin on 7 Mar 2014
These are the conditions for a leap year :
• The year is evenly 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.
I have done the first part, I'll leave the rest to you to implement
if mod(year,4)== 0 % use the modulo operator to check for remainder
days == 366
else
days == 365
end
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chafah zachary on 8 Mar 2014
Thank you Nitin

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Ian on 8 Sep 2016
ndays = datenum(Y+1,0,0) - datenum(Y,0,0);
isleap = ndays == 366;
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Shikhar Srivastava on 28 Mar 2020
Edited: Shikhar Srivastava on 28 Mar 2020
if(year/4==0 || year/400==0 && ~((year/100==0)))
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Rik on 31 Mar 2020
Complete code posted as answer in another thread:
%sir, i wrote this code,but it is passing nly random leap yeara,can u point out the mistake.%
function valid=valid_date(year,month,day)
if(year/4==0 || (year/400==0 && ~((year/100==0))))
if(3<=month && month<13 || month==1 && 1<=day && day<32)
valid=true;
elseif(month==2 && 1<=day && day<30)
valid=true;
else
valid=false;
end
else
if(3<=month && month<13 || month==1 && 1<=day && day<32)
valid=true;
elseif (month==2 && 1<=day && day<29)
valid=true;
else
valid=false;
end
end
Rik on 31 Mar 2020
You are using division. Consider the year 2004, which was a leap year. What happens for each of your checks?
year/4==0% year/4 is 501, so this returns false
year/400==0% year/400 is 5.01, so this returns false
~(year/100==0)% year/100 is 20.04, so this returns true
%so your if is this:
if false || (false && true)
If you describe it with words, what is the condition to check if a year is a leap year?

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