7 segment display + logic gates

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SUMMARY

The discussion focuses on designing a logic network for a 7-segment display using two inputs, A and B, to represent four possible outputs. Participants confirm the need to create a truth table for the seven output functions, followed by minimizing these functions using Karnaugh maps (K-maps). The suggested approach involves defining each output function, such as C1 = A'B' + A'B + AB, and then applying K-map techniques to achieve simplification. The consensus emphasizes the importance of posting the final solution for further review and validation.

PREREQUISITES
  • Understanding of 7-segment display functionality
  • Familiarity with truth tables and their construction
  • Knowledge of Karnaugh maps (K-maps) for function minimization
  • Basic logic gate operations and their implementation
NEXT STEPS
  • Study the process of creating truth tables for digital circuits
  • Learn how to effectively use Karnaugh maps for simplifying Boolean expressions
  • Explore the implementation of logic gates in circuit design
  • Research common applications of 7-segment displays in digital electronics
USEFUL FOR

Students in electrical engineering, hobbyists designing digital circuits, and anyone interested in learning about logic networks and 7-segment display implementations.

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Homework Statement


I'm tasked with creating a logic network that can spell out a simple 4 letter word. It has 2 inputs A and B, and 7 outputs (for a 7 segment display). The 2 bits (A and B) give the 4 total possible inputs to the circuit.

Write the truth table for the 7 output functions, minimize them using a K-map, and implement them using logic gates.


Homework Equations





The Attempt at a Solution



I've created the truth table.
29vo6cl.jpg


But I don't really understand how I am supposed to use K-maps to simplify this.
Am I supposed to create 7 functions, for example:
C1 = A'B' + A'B +AB
C2 = A'B' + A'B
C3 = A'B'
... and so on, up to the seventh.

Then use the Kmap to minimize those functions?
 
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Yup.
 
Do post your solution besause it looks like it should simplify quite a lot.
 

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