Evaluate a Boolean Expression

1) Read the expression carefully

A Boolean expression uses values such as true/false and logical operators like AND, OR, and NOT. Your goal is to find the final truth value after simplifying all parts of the expression.

2) Use the operator order

Work from the most restrictive operation outward:

1. Evaluate any NOT first.
2. Then handle AND parts.
3. Finish with OR parts.
4. If parentheses are present, evaluate the inside groups first.

3) Simplify step by step

Replace each small piece with its truth value before moving on. For example, if a part is already known to be true or false, substitute that result and continue until only one final value remains.

4) Check your answer

A good check is to reread the original expression and confirm that each operator was applied in the correct order. You can also test whether the result makes sense: for example, an AND expression is only true when both sides are true, while an OR expression is true if at least one side is true.

5) Final response

Write the simplified final Boolean value exactly as required, usually true or false.