Boolean Algebra (OCR A-Level Computer Science): Quizzes

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Simplifying Boolean Algebra
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What does ¬(A∧B)\neg(A \land B) simplify to using De Morgan's Law?

¬A∨¬B\neg A \lor \neg B

What does ¬(A∨B)\neg(A \lor B) simplify to using De Morgan's Law?

¬A∧¬B\neg A \land \neg B

What does A∨(B∧C)A \lor (B \land C) equal when distributing OR over AND?

(A∨B)∧(A∨C)(A \lor B) \land (A \lor C)

What does A∧(B∨C)A \land (B \lor C) equal when distributing AND over OR?

(A∧B)∨(A∧C)(A \land B) \lor (A \land C)

Which property states that grouping of operands doesn't affect the result?

Association

What does A∧BA \land B equal using the commutative property?

B∧AB \land A

What does ¬(¬A)\neg(\neg A) simplify to using double negation?

AA

What does A∨¬AA \lor \neg A simplify to?

11

What does B∧¬BB \land \neg B simplify to?

00

What is the simplified result of ¬(A∧B)∨A\neg(A \land B) \lor A?

11

What is the simplified result of (A∨B)∧(A∨¬B)(A \lor B) \land (A \lor \neg B)?

AA

What does the associative property refer to in Boolean Algebra?

Changing parentheses (grouping)

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