Logical operators

This step we will revisit some basic logical operators.

The AND Operator

The first two columns in the table above indicate the two inputs. The condition (A) and condition (B), each being a logical proposition. For example, (A) can be the logical proposition “it is raining outside” and (B)can be the logical proposition “the window is open”. The AND operator indicates that for two inputs, (A) and (B), the output/result will be True (last column of the table above) if both (A) and (B) are True, False otherwise.

The table above shows the possibilities of these two inputs ((A) and (B)). When (A=text{False}) and (B=text{False}), the result is False (first row). When (A=text{False}) and (B=text{True}), then the result is False (second row). And so on.

The OR Operator

The OR operator indicates that for two inputs, (A) and (B), the output/result will be True if either (A) or (B) is True, False if both are False. The table above shows the possibilities of these two inputs ((A) and (B)). When (A=text{False}) and (B = text{True}), the result is False (first row). When (A=text{False}) and (B = text{True}), then the result is True (second row). And so on.

The NOT Operator

The NOT operator is the simplest. It only takes a single input, the logical proposition (A). It simply inverts the input. If the input is True, it will invert it to False (first row), if the input is False it will invert it to True (second row).

Optional further reading

Logical propositions and logic operators are challenging topics, but very fundamental. If you find the topic interesting or challenging, and you would like to read more about it, you can find plenty of resources online.