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a. Design a circuit for your 3 bedroom house that will turn on a green light...

a. Design a circuit for your 3 bedroom house that will turn on a green light in your bedroom when an intruder enters your house through the window of your front door.

b. Simplify the following functional expressions using Boolean algebra and its identities.

List the identity used at each step.

  1. F(x,y,z) = x’y + xyz’ + xyz
  2. F(w,x,y,z) =(xy’+w’z))(wx’+yz’)
  1. c. Construct a truth table for the following
    1. xyz + x(yz)’+(xyz)’                        b. (x+y)(x+z)(x’+z)
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