Boolean logic practice

Understand the method

Use parentheses to make grouping explicit rather than relying on language-specific precedence. Inclusive OR is true when both inputs are true. Exclusive OR, usually called XOR, is true when exactly one is true.

Worked example, step by step

Evaluate (A OR B) AND NOT C when A is false, B is true and C is false.

1. A OR B is true because B is true.
2. NOT C is true because C is false.
3. The expression becomes true AND true.
4. The final result is true. Changing C to true would make the result false without changing A or B.

A mistake to watch for

Natural-language “or” can sound exclusive, but Boolean OR is ordinarily inclusive. Distinguish a variable assignment from a comparison in actual code; their syntax differs by language.

Try it yourself: three questions

Write an answer before opening the explanation. For calculations, keep your units and intermediate steps; for concepts, state the reason for your choice.

Build your next practice session

Mark the first step where your reasoning differed from the explanation. Turn that step into a question, answer it without looking, then change one condition in the example and explain what would change. A correct guess is a reason to revisit the method.

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Further reading

OpenStax: data structures and algorithms provides textbook background. The worked scenario and practice questions on this page were written independently for ExamCat.

Related lessons

• Linear versus binary search practice
• Big O loop practice
• Stack versus queue practice

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