Boolean Logic — GCSE Computer Science Revision
Revise Boolean Logic for GCSE Computer Science. Step-by-step explanation, worked examples, common mistakes and exam-style practice aligned to AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge International (CIE), SQA, IB, AP.
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Go to Data RepresentationWhat is Boolean Logic?
Boolean logic is a form of algebra in which all values are reduced to either TRUE or FALSE. It uses the logical operators AND, OR, and NOT to manipulate these values. In computing, Boolean logic is used to create logic gates, which are the building blocks of digital circuits and are used to control the flow of execution in programs.
Board notes: AQA, Edexcel, and OCR all cover AND, OR, and NOT gates and their corresponding truth tables. Some boards may also include XOR. You will be expected to be able to create and interpret logic circuit diagrams and truth tables for simple expressions.
Step-by-step explanationWorked example
Consider the expression C = (A AND B) OR (NOT B). Let's create a truth table. If A=True and B=False: NOT B is True. A AND B is False. So, C = (False) OR (True), which is True. This systematic process allows us to determine the output for any combination of inputs.
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Common mistakes
- 1Confusing the symbols for logic gates. Make sure you know the distinct shapes for AND (D-shape), OR (curved input side), and NOT (triangle with a circle).
- 2Errors in drawing or interpreting truth tables, especially for more complex expressions with multiple gates.
- 3Not being able to simplify Boolean expressions. For example, knowing that A AND (A OR B) simplifies to just A.
Boolean Logic exam questions
Exam-style questions for Boolean Logic with mark-scheme style solutions and timing practice. Aligned to AQA, Edexcel, OCR, WJEC, Eduqas, CCEA, Cambridge International (CIE), SQA, IB, AP specifications.
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Step-by-step method
Step-by-step explanation
4 steps · Worked method for Boolean Logic
Core concept
Boolean logic is a form of algebra in which all values are reduced to either TRUE or FALSE. It uses the logical operators AND, OR, and NOT to manipulate these values. In computing, Boolean logic is us…
Frequently asked questions
What is a logic gate?
A logic gate is an electronic component that performs a Boolean logic operation. It takes one or more binary inputs (0s and 1s) and produces a single binary output.
What does the XOR gate do?
The XOR (Exclusive OR) gate gives a TRUE output only when the inputs are different. For example, TRUE XOR FALSE is TRUE, but TRUE XOR TRUE is FALSE.