Boolean Operators

The easiest way to think of boolean operators is to think of them like a sentence.
| the OR operator 
 Think of it as an OR in a sentence. Is this sentence true: My name is Joshua OR I have never seen a computer.
The sentence is still true because I said OR and had a true statement.

A         B             A|B

false     false         false

true      false         true

false     true          true

true      true          true

As seen in the table above, the only way to make an or statement false is that if both statements are false.

& the AND operator 
 Just like OR but using the word AND. Is this sentence true: My name is Joshua AND I have never seen a computer. This sentence is obviously false because the second statement is false.

A         B              A&B

false     false         false

true      false         false

false     true          false

true      true          true

^ the XOR operator 
XOR or EXCLUSIVE OR means if ONE and ONLY ONE is true, the sentence is true. Since XOR doesn't equate to any english metaphor, I'll just post the table.

A         B             A^B

false     false         false

true      false         true

false     true          true

true      true          false

! the NOT operator 
The easiest to learn. NOT just switches the boolean. !true = false. !false=true.
== the EQUAL TO operator 
Similarly easy,  EQUAL TO just checks if either side is equal.

This works with number, strings, objects, anything.

!= the NOT EQUAL TO operator 
Just like equals, but NOT. Checks if the two ARENT equal.
The complete table:

A         B             A|B       A&B      A^B      !A
false     false         false     false    false    true
true      false         true      false    true     false
false     true          true      false    true     true
true      true          true      true     false    false

This and others like it have been brought to you by the Josh Cannon foundation.