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b. An industrial system has three sensors which are sensor A, sensor B, and sensor C to determine if a process is working correctly. A

b. An industrial system has three sensors which are sensor A, sensor B, and sensor C to determine if a process is working correctly. A warning light (Q) should come on if:

-Sensors B and C are activated, but A are not activated.

-Sensors A and B are activated, but C is not activated.

-Sensors A, B and C are not activated.

-Sensors A, B and C are activated.

  1. Based on the information stated, develop a truth table for this system

(2 marks)

  1. Write the Boolean expression of this system in the sum-of products (SOP) form and product of sum (POS) form.

(2 marks)

  1. Deduce the sum-of-products function for this system using a K-map.
  2. Sketch a logic circuit using only two input AND, OR and NOT gates, which implements the expression derived in Question 2b (iii

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