Activity 3: A sorting machine has three sensors, an inductive sensor, a red colour sensor, and a blue sensor. The inductive sensor has one output 'A' defining two levels: '1' if the test material is a metallic, and '0' otherwise. The red colour sensor has one output 'B' defining two levels: '1' if the test material has a red colour, and '0' otherwise. The blue colour sensor has one output 'C' defining two levels: '1' if the test material has a blue colour, and '0' otherwise. The combination of all outputs is used by the sorting machine to decide if a solenoid actuator should be activated ("D=1') if the tested material is not metallic and has a red or blue or mix of both green and blue colours (Purple). Otherwise, the solenoid actuator should be deactivated ('D=0'). (3-A) Is this an analogue or digital electronic problem? Explain the difference. (3-B) What is the benefit of using digital circuits for the abovementioned scenario? Explain. (3-C) Apply your knowledge of Boolean logic to form the truth table.

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Activity 3:
A sorting machine has three sensors, an inductive sensor, a red colour sensor, and a blue sensor. The
inductive sensor has one output 'A' defining two levels: '1' if the test material is a metallic, and ¹0²
otherwise. The red colour sensor has one output 'B' defining two levels: '1' if the test material has
a red colour, and '0' otherwise. The blue colour sensor has one output 'C' defining two levels: '1'
if the test material has a blue colour, and '0' otherwise. The combination of all outputs is used by
the sorting machine to decide if a solenoid actuator should be activated ('D=1') if the tested material
is not metallic and has a red or blue or mix of both green and blue colours (Purple). Otherwise, the
solenoid actuator should be deactivated ('D=0').
(3-A) Is this an analogue or digital electronic problem? Explain the difference.
(3-B) What is the benefit of using digital circuits for the abovementioned scenario? Explain.
(3-C) Apply your knowledge of Boolean logic to form the truth table.
(3-D) Write down the sum-of-products expression that represents the output.
(3-E) Draw the circuit diagram for the given scenario, then verify its operation using Multisim.
(3-F) Simplify the expression you found in (3-D) part using your knowledge in simplifications
techniques. Re-represent the simplified circuit using NAND gates only.
Transcribed Image Text:Activity 3: A sorting machine has three sensors, an inductive sensor, a red colour sensor, and a blue sensor. The inductive sensor has one output 'A' defining two levels: '1' if the test material is a metallic, and ¹0² otherwise. The red colour sensor has one output 'B' defining two levels: '1' if the test material has a red colour, and '0' otherwise. The blue colour sensor has one output 'C' defining two levels: '1' if the test material has a blue colour, and '0' otherwise. The combination of all outputs is used by the sorting machine to decide if a solenoid actuator should be activated ('D=1') if the tested material is not metallic and has a red or blue or mix of both green and blue colours (Purple). Otherwise, the solenoid actuator should be deactivated ('D=0'). (3-A) Is this an analogue or digital electronic problem? Explain the difference. (3-B) What is the benefit of using digital circuits for the abovementioned scenario? Explain. (3-C) Apply your knowledge of Boolean logic to form the truth table. (3-D) Write down the sum-of-products expression that represents the output. (3-E) Draw the circuit diagram for the given scenario, then verify its operation using Multisim. (3-F) Simplify the expression you found in (3-D) part using your knowledge in simplifications techniques. Re-represent the simplified circuit using NAND gates only.
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