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ECE/CS 352 Digital Systems Fundamentals

ECE/CS 352 Digital Systems Fundamentals. Spring 2001 Chapter 3 -Part 2. Tom Kaminski & Charles R. Kime. Functional Block: Decoders. 2-to-4 Line Decoder. 2-to-4 Line Demultiplexer. Example: 74F138 Demultiplexer.

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ECE/CS 352 Digital Systems Fundamentals

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  1. ECE/CS 352 Digital Systems Fundamentals Spring 2001 Chapter 3 -Part 2 Tom Kaminski& Charles R. Kime ECE/CS 352 Digital System Fundamentals

  2. Functional Block: Decoders ECE/CS 352 Digital System Fundamentals

  3. 2-to-4 Line Decoder ECE/CS 352 Digital System Fundamentals

  4. 2-to-4 Line Demultiplexer ECE/CS 352 Digital System Fundamentals

  5. Example: 74F138 Demultiplexer Note: This "Truth Table" uses the "x" to mean "this could be either 0 or 1". Thus, it "compacts" some of 26=64 lines. ECE/CS 352 Digital System Fundamentals

  6. Implementing Logic with Decoders ECE/CS 352 Digital System Fundamentals

  7. Example 1:F(A,B) = m(0,3) ECE/CS 352 Digital System Fundamentals

  8. Example 1:F(X,Y,Z) = m(0,3,5,6) ECE/CS 352 Digital System Fundamentals

  9. Implementing Larger Minterms ECE/CS 352 Digital System Fundamentals

  10. Functional Block: Encoders ECE/CS 352 Digital System Fundamentals

  11. Review: Decoders and Encoders ECE/CS 352 Digital System Fundamentals

  12. Multiplexers ECE/CS 352 Digital System Fundamentals

  13. Example: A 4-to-1 multiplexer ECE/CS 352 Digital System Fundamentals

  14. Multiplexer Versus Decoder Note how similar the two are internally. ECE/CS 352 Digital System Fundamentals

  15. Functions with Multiplexers ECE/CS 352 Digital System Fundamentals

  16. Example: Gray to Binary Code ECE/CS 352 Digital System Fundamentals

  17. Gray to Binary (Continued) ECE/CS 352 Digital System Fundamentals

  18. Gray to Binary (Continued) ECE/CS 352 Digital System Fundamentals

  19. Gray to Binary (Continued) ECE/CS 352 Digital System Fundamentals

  20. Other MUX Implementations B Y 00 01 11 10 B Z 00 01 11 10 0 1 0 1 0 1 0 1 D0 D1 D3 D2 D0 D1 D3 D2 A 1 0 1 0 A 0 0 1 1 C C A A A A ECE/CS 352 Digital System Fundamentals

  21. MUX Implementations (Cont.) ECE/CS 352 Digital System Fundamentals

  22. MUX: (Cont.) Factoring Out C ECE/CS 352 Digital System Fundamentals

  23. MUX: (Cont.) Factoring out B ECE/CS 352 Digital System Fundamentals

  24. MUX: (Cont.) Factoring out A ECE/CS 352 Digital System Fundamentals

  25. Summary • Know the functions performed by the following functional blocks: • Decoders • Demultiplexers • Encoders • Multiplexers • Know how to implement Boolean functions using: • Multiplexers • Decoders ECE/CS 352 Digital System Fundamentals

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