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3 marksLogic and Boolean Algebra

CAPE Applied Mathematics Unit 2 · 2014 · Paper 2 · Question 1(e)(i)

Draw a switching circuit for the Boolean expression A ˅ (B ˄ C).

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Other parts of this question

  1. 1(a)State the contrapositive of p ⇒ ~q.[3 marks]
  2. 1(b)Construct a truth table for the inverse of p ⇒ ~q.[5 marks]
  3. 1(c)(i)Construct a truth table for (p → q) ˅ (q → r).[5 marks]
  4. 1(c)(ii)Hence, state with reason, whether (c)(i) is a tautology or a contradiction.[2 marks]
  5. 1(d)Determine the Boolean expression for the given logic circuit.[4 marks]
  6. 1(e)(ii)Use the distributive law to expand the Boolean expression A ˅ (B ˄ C).[3 marks]

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