Programming Basics: Combine Boolean Conditions

Build truth tables rather than guessing how AND, OR and NOT behave.

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A Boolean value is true or false. AND is true only when both inputs are true. OR is inclusive: at least one input true is enough, including both. NOT reverses a Boolean value. Parentheses make grouping explicit.

Worked example

For a = true and b = false, a AND b is false, a OR b is true, and NOT b is true. In this worksheet inputs are already Booleans; no automatic type conversion is assumed.

For the four Boolean input pairs, AND is true only when both inputs are true. Inclusive OR is true for every pair except false and false.

Would you believe it?

A program can contain a branch that a particular run never uses. In an IF/ELSE, the condition selects one path, so different inputs can exercise different branches.

Python documentation: control flow

Question 1 With a = true and b = false, what is a AND b? false true Neither

Question 2 With a = true and b = false, what is a OR b? false It is undefined true

Question 3 If both inputs are true, is inclusive OR true? Only if the inputs differ Yes No

Question 4 With b = false, what is NOT b? true false 0.5

Question 5 Which expression matches NOT (a AND b) for all Boolean inputs? (NOT a) AND (NOT b) a OR b (NOT a) OR (NOT b)

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