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Operators......Using them in the Leap Year Assignment
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Steve Jensen
Ranch Hand
Joined: Sep 23, 2002
Posts: 126
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I'm doing the Java-3 (Leap) assignment, and the algorithm to sort out when a year is a leap year, or not, is doing my head in. OK, breaking it down............ A year is a leap year when:- It is evenly divisible by 4 - OK no problem Except every year that is evenly divisible by 100. Are we therefore saying that the year 1900 is NOT a leap year because 1900/100 = 19. And the number 19 is not evenly divisible? As 1900/400 = 4.75 - NOT an even number, so the failing criteria is the '100 rule'? Except every year that is evenly divisible by 400. Does this mean that if a year is divided by 400, for example, 2000/400 = 5, as the answer is NOT an even number, that this meets the criterion of what does constitute a leap year? 1600 is a leap year, and so is 2000. Yet they do not meet the same criterion, i.e., the both meet the '100' rule, but not the '400' rule. I am confused, big time. I am testing my leap years using this little applet:- http://www.cs.trincoll.edu/cpsc115/labs/ch5.leapyear/
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Barry Gaunt
Ranch Hand
Joined: Aug 03, 2002
Posts: 7729
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Hi Steve, "evenly divisible" means "is divisible by"; that is, not leaving a remainder. For example 21 is evenly divisible by 7. 20 is not because dividing 20 by 7 leaves a remainder of 6. That's the direction you have to head in. Have FUN as they say... -Barry
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Marilyn de Queiroz
Sheriff
Joined: Jul 22, 2000
Posts: 9033
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A year is a leap year when:- It is evenly divisible by 4 - OK no problem Example: the year 504 is evenly divisible by 4. Except every year that is evenly divisible by 100. We are therefore saying that the year 1900 is NOT a leap year because 1900/100 = 19 with no remainder or fractional part, so the failing criteria is the '100 rule'? Except every year that is evenly divisible by 400. This means that if a year is divided by 400, for example, 2000/400 = 5 with no remainder or fractional part, that this meets the criterion of what does constitute a leap year? For example 2001/400 = 5 remainder 1. Therefore it does not satisfy the "400 rule". 1600 is evenly divisible by 400 with no remainder and is a leap year, and so is 2000.
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Marilyn de Queiroz
Sheriff
Joined: Jul 22, 2000
Posts: 9033
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Do you still have questions about this, Steve?
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subject: Operators......Using them in the Leap Year Assignment
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