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Duality of Logic

Duality of Logic. DeMorgan’s Theorem #1. EQUAL. NAND Logic. A B. Y. NAND. NAND. Y = A x B. = A + B. A B. Y. =. A-O-I  NAND Only. NAND. NAND. AND. NAND. OR. A-O-I Design Example. BC + A C. C. AC. BC. A-O-I  NAND. NAND. NAND. NAND. NAND-NAND Design Example.

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Duality of Logic

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  1. Duality of Logic

  2. DeMorgan’s Theorem #1 EQUAL

  3. NAND Logic A B Y NAND NAND Y = A x B = A + B A B Y =

  4. A-O-I  NAND Only NAND NAND AND NAND OR

  5. A-O-I Design Example BC + A C C AC BC

  6. A-O-I  NAND NAND NAND NAND

  7. NAND-NAND Design Example (B C) ( A C ) = BC + A C B C C A C

  8. DeMorgan’s Theorem #2 EQUAL

  9. NOR Logic A B A B Y Y NOR NOR Y = A + B = A x B =

  10. A-O-I  NOR Only AND OR NOR NOR NOR

  11. A-O-I  NOR NOR NOR NOR

  12. NOR-NOR Design Example (B + C) + ( A + C ) = BC + A C B + C C A + C B A

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