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Digital Logic Gates

Digital Logic Gates. Sum of Products (Review). Procedure: Form a minterm for each combination of the variables that produces a 1 OR all the minterms . Three-Terminal AND Gate. Application of Sum of Products. Digital Logic Gates. 2-Input AND Gate. NAND. INV. INV. NAND.

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Digital Logic Gates

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  1. Digital Logic Gates

  2. Sum of Products (Review) Procedure: Form a minterm for each combination of the variables that produces a 1 OR all the minterms.

  3. Three-Terminal AND Gate

  4. Application of Sum of Products

  5. Digital Logic Gates

  6. 2-Input AND Gate NAND INV INV NAND

  7. 2-Input OR Gate INV NOR INV NOR

  8. Universal Gates • NAND and NOR are easier to build than AND and OR • NAND and NOR are used to implement AND and OR gates

  9. NAND/NOR

  10. NAND-Based OR Gate

  11. NOR-Based NAND Gate

  12. XOR/XNOR F=1 when x≠y F=1 when x=y

  13. Application of an XOR Gate

  14. Use a XOR to Generate Pseudo-Random Numbers Reference: http://en.wikipedia.org/wiki/Linear_feedback_shift_register

  15. logic.ly/demo

  16. Circuit Simplification Example

  17. Factoring—the first & third terms above haveACin common, which can be factored out: Since B + B = 1, then… z = A(C + B) Solution

  18. Topics for Quiz 1 • Date: 3/8/2012 • In class • No Make-Up • Number Conversion • Arithmetic Operations • Complements • Signed Binary Numbers • Addition/Subtraction • Boolean Algebra • Logic Gates • Sum of Products • Circuit Simplifications

  19. Example 1

  20. Example 2

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