i want to design a digital circuit on the breadboard which r…
i want to design a digital circuit on the breadboard which represent a traffic light controller with mode-5 counter. i need the truth table & k-maps & design circuits of this two traffic lights. state digram with state table and state assigned table. note: please check the attachment
Answer
Designing a digital circuit for a traffic light controller with a mode-5 counter involves understanding the operation of a traffic light, creating a state diagram, constructing a truth table, and implementing the circuit using logic gates and flip-flops on a breadboard. In this approach, we will assume a basic understanding of digital circuits and Boolean algebra.
Firstly, let’s analyze the traffic light controller. It typically contains two traffic lights, one for each direction. Each traffic light has three states: red, yellow, and green. The mode-5 counter determines the duration of each state and transitions between them.
To begin designing the circuit, we need to create a state diagram. A state diagram visually represents the different states and transitions between them. In this case, we can represent the three states of each traffic light as individual nodes, interconnected by arrows representing the transitions. The state diagram for a single traffic light is as follows:
State Diagram for a Single Traffic Light:
_______
| |
R –>| |
|_______|
/
/
| _/Y
|
|
| /
|____/
G
In this state diagram, R represents the red state, Y represents the yellow state, and G represents the green state. The arrows indicate the transitions between the states.
Next, we create a truth table to describe the behavior of the traffic light controller. The truth table lists all possible inputs and their corresponding outputs. In this case, the inputs are the current states of the traffic lights, and the outputs are the next states.
Truth Table for a Single Traffic Light:
___________________________________________________________
| Current State (Q2) | Current State (Q1) | Next State (Q2) |
|_____________________|_____________________|_________________|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
| 0 | 0 | 0 |
| 0 | 1 | 1 |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
| 0 | 0 | 1 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 0 |
|___________________________________________________________|
Continuing with this pattern, we can create similar truth tables for the other traffic light and the mode-5 counter, considering their specific inputs and outputs.
Having the truth table, we can then use Karnaugh maps (k-maps) to simplify the logic equations for each output. K-maps provide a useful visualization tool for minimizing Boolean expressions.
To construct the circuit on a breadboard, we can use gate-level logic components such as AND gates, OR gates, and flip-flops. Each flip-flop represents a state of the traffic light controller, and the gates connect the flip-flops to determine the transitions between states.
In conclusion, to design a digital circuit for a traffic light controller with a mode-5 counter, a state diagram is created based on the traffic light behavior. A truth table is then generated to describe the transitions between states. Karnaugh maps are then used to simplify the logic equations, and finally, the circuit can be implemented on a breadboard using flip-flops and logic gates.