Chapter 6: Appendix B, 43 (page 500)
Assign state numbers to the states in the traffic light example of Exercise B.41 and use the tables of Exercise B.42 to write a set of logic equations for each of the outputs. Including the next-state outputs.
Short Answer
The set logic equations are:
Step by step solution
Design the state diagram for the traffic control system
The state diagram consists of the states and transitions from one state to the other state. According to the timer t, the traffic signal transits from one state to the other. If the signal is not passed, then the system stays on the same state. The following is the diagram for traffic control system:
Design a truth table for the states of the traffic control system
The inputs are I1, I2, and I3. The outputs are O1 and O2. The input I1 represents the timer. The output I1 is equal to the AND operation between the inputs I1 and I2. The output O2 is equal to the AND operation between I2 and I3.
I1 | I2 | I3 | O1 | O2 |
0 | 0 | 0 | 0 | 0 |
0 | 0 | 1 | 1 | 1 |
0 | 1 | 0 | 0 | 0 |
0 | 1 | 1 | 1 | 1 |
1 | 0 | 0 | 0 | 1 |
1 | 0 | 1 | 0 | 1 |
1 | 1 | 0 | 1 | 0 |
1 | 1 | 1 | 1 | 0 |
Design the logic equations from the truth table
The logic equations can be designed from the input and outputs. The logic equation for O1 is:
The logic equation for O2 is:
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