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Ch 4. Combinational Logic Design Principles

Ch 4. Combinational Logic Design Principles. Combinational Logic Circuit Outputs depend only on its current inputs No feedback loop. Sequential Logic Circuit Outputs depend on its current inputs and present states F eedback loop. 4.1 Switching Algebra. ‘+’ : ‘OR’. ‘ ’ : ‘AND’.

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Ch 4. Combinational Logic Design Principles

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  1. Ch4. Combinational Logic Design Principles • Combinational Logic Circuit • Outputs depend only on its current inputs • No feedback loop • Sequential Logic Circuit • Outputs depend on its current inputs and present states • Feedback loop

  2. 4.1 Switching Algebra

  3. ‘+’ : ‘OR’ ‘’ : ‘AND’

  4. Switching-algebra theorems are obvious (by perfect induction) & is identical to the distributive law for integers and reals

  5. DeMorgan’s Th. NAND

  6. DeMorgan’s Th. NOR

  7. Black box Representation with Truth table Active Low

  8. Black box Representation with Truth table Active Low

  9. Function with 3 input X, Y, Z

  10. DeMorgan’s Th.

  11. 4.2 Combinational-Circuit Analysis

  12. F(X, Y, Z)

  13. F(X, Y, Z)

  14. Three-level without considering inverter

  15. “Add-out” to obtain a product of sums by T8’ T8’ Same (Figure 4-12) Sum of products (Figure 4-13) Product of sums

  16. 4.3 Combinational-Circuit Synthesis Prime number detector

  17. NAND NOR

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