The picture below shows the intersection of a road. Some vehicle detection sensors are placed along lanes C and D (main road) and lanes A and B (access road). These sensors outputs are LOW (0) when no vehicle is present and HIGH (1) when a vehicle is present. The intersection traffic light is to be controlled according to the following logic: The east-west (E-W) traffic light will be green whenever both lanes C and D are occupied. The E-W light will be green whenever either C or D is occupied but lanes A and B are not both occupied. The N-S light will also be green whenever both lanes A and B are occupied but C and D are not both occupied. The N-S light will also be green when either A or B is occupied while C and D are both vacant. The E-W light will be green when no vehicles are present.   Using the sensor outputs A, B, C and D as inputs, design a logic circuit to control the traffic light. There should be two outputs-S and E-W that go HIGH when the corresponding light is to be green. Simplify the circuit as much as possible and show all steps.   Complete the following with the step-by-step procedure. Interpret the problem and set up a truth table to describe its operation. Write the AND (product) term for each case where the output is 1. Write the sum-of-products (SOP) expression for the output. Simplify the output expression if possible. Implement the circuit for the final, simplified expression.

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The picture below shows the intersection of a road. Some vehicle detection sensors are placed along lanes C and D (main road) and lanes A and B (access road). These sensors outputs are LOW (0) when no vehicle is present and HIGH (1) when a vehicle is present. The intersection traffic light is to be controlled according to the following logic:

  1. The east-west (E-W) traffic light will be green whenever both lanes C and D are occupied.
  2. The E-W light will be green whenever either C or D is occupied but lanes A and B are not both occupied.
  3. The N-S light will also be green whenever both lanes A and B are occupied but C and D are not both occupied.
  4. The N-S light will also be green when either A or B is occupied while C and D are both vacant.
  5. The E-W light will be green when no vehicles are present.

 

Using the sensor outputs A, B, C and D as inputs, design a logic circuit to control the traffic light. There should be two outputs-S and E-W that go HIGH when the corresponding light is to be green. Simplify the circuit as much as possible and show all steps.

 

Complete the following with the step-by-step procedure.

  1. Interpret the problem and set up a truth table to describe its operation.
  2. Write the AND (product) term for each case where the output is 1.
  3. Write the sum-of-products (SOP) expression for the output.
  4. Simplify the output expression if possible.
  5. Implement the circuit for the final, simplified expression.
N
W
E
S
D
B
A
Transcribed Image Text:N W E S D B A
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