3 marksLogic and Boolean Algebra
CAPE Applied Mathematics Unit 2 · 2014 · Paper 2 · Question 1(a)
Logic statements and propositions.
State the contrapositive of p ⇒ ~q.
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Practise this questionOther parts of this question
- 1(b)Construct a truth table for the inverse of p ⇒ ~q.[5 marks]
- 1(c)(i)Construct a truth table for (p → q) ˅ (q → r).[5 marks]
- 1(c)(ii)Hence, state with reason, whether (c)(i) is a tautology or a contradiction.[2 marks]
- 1(d)Determine the Boolean expression for the given logic circuit.[4 marks]
- 1(e)(i)Draw a switching circuit for the Boolean expression A ˅ (B ˄ C).[3 marks]
- 1(e)(ii)Use the distributive law to expand the Boolean expression A ˅ (B ˄ C).[3 marks]
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