In: Advanced Math
Can you supply examples of logical operations you apply to your everyday experience?
The basic Logical operations are:
1. AND
2. OR
3. NOT
AND:
This logical operation signifies that if two statements (S1 and S2) are TRUE, then intrpretation based on both the statements will be TRUE if both being TRUE otherwise it is FALSE
OR:
This logical operator signifies that if any one of the statements is TRUE, then the interpretation based on it will be always TRUE until unless both the statements are FALSE.
NOT:
This is simply the opposite of the given statement i.e, if the statement is TRUE(FALSE) interpretation will be FALSE(TRUE)
1. Consider this example:
S1: The weather is warm outside.
S2: Humidity level is high.
The given statement may be TRUE / FALSE.
FOR AND :-
Consider this interpretaion - Prone to more dehydration.
Lets say both the statements are TRUE i.e, S1 and S2 are TRUE.
So, if the weather is warm and humidity is high it is clear that we are prone to more dehydration.
Only if both of these statements are TRUE the interpretation will be TRUE, otherwise it is FALSE
FOR OR :-
Now consider this interpretation for the same statements S1 and S2 - Wear cotton clothes
The weather is warm outside but humidity is low still wear cotton clothes
The weather is not warm but Humidity is high so wear cotton clothes
The weather is warm along with the Humidity is high, so wear cotton clothes
Then it is advisable to wear cotton clothes if the weather is warm OR humidity is high OR in both cases
FOR NOT :-
Consider the interpretation - Comfortable weather
if S1 is TRUE(FALSE) then the interpretation is FALSE(TRUE) - Here S2 is not considered
If the weather is warm then the weather is not comfortable
If the weather is not warm then it is comfortable weather
if S2 is TRUE(FALSE) then the interpretation is FALSE(TRUE) - Here S1 is not considered
If the humidity is high then the weather is not comfortable
If the humidity is not high then it is comfortable weather
2. Evaluation of a student academic work
S1 : Attendance is greater than 70%
S2 : Total marks obtained is greater than 40%
In schools, to pass a subject it is required to have minimum attendance and minimum marks.
FOR AND :- Interpretation - Passed the subject
If a student satisfies both the statement i.e both the statements are TRUE, then that student had passed the subject (Interpretation is TRUE). Otherwise he/she has failed in that subject.
FOR OR :- Allowed for improvement exams.
Suppose if any one of the above requirements are met by a student he/she can sit in the improvement exams, which is for both passed(to improve marks) and failed students(to clear the subject)
If a student has minimum attendance but not minimum marks, then the student is still allowed to take the improvement exams.
If a student has no minimum attendance but got minimum marks, then the student is still allowed to take the improvement exams.
If a student has minimum attendance and minimum marks, then the student is still allowed to take the improvement exams.
If a student has neither minimum attendance nor minimum marks, then the student is not allowed to take the improvement exams.