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4 marksLogic and Boolean Algebra

CAPE Applied Mathematics Unit 2 · 2010 · Paper 2 · Question 2(a)

Three panel members, A, B and C, answer 'yes' or 'no' by pressing or not pressing a button.

Design a switching circuit to allow current to pass when and only when at least TWO members vote 'yes'.

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Other parts of this question

  1. 2(b)Construct a truth table to show that the proposition (~p ∨ ~q) ⇒ (p ∧ ~q) always takes the value of p.[5 marks]
  2. 2(c)If a ⇒ b is equivalent to ~a ∨ b, draw a circuit for a ⇒ b using OR and NOT gates only.[5 marks]
  3. 2(d)(i)Copy and complete the table for the earliest start time, latest start time, and float time for activities A through G.[9 marks]
  4. 2(d)(ii)Hence, determine the critical path.[2 marks]

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