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AOI Logic Analysis

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locke
16 diapositives · 870 Views · Oct 12, 2014

AOI Logic Analysis. Digital Electronics. Analysis of Comb-Logic Circuits. Determine the circuit output’s truth-table and logic expression Determine the circuit’s intended function Determine whether a circuit is working properly. Did you analyze the circuit BEFORE you turned the power on?.

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AOI Logic Analysis
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  1. AOI Logic Analysis Digital Electronics

  2. Analysis of Comb-Logic Circuits • Determine the circuit output’s truth-table and logic expression • Determine the circuit’s intended function • Determine whether a circuit is working properly Did you analyze the circuit BEFORE you turned the power on?

  3. Two Analysis Techniques Truth Table → Equation Technique Given A Logic Circuit . . . • Extract truth table • Derive logic expression Equation → Truth Table Technique Given A Logic Circuit . . . • Extract logic expression • Derive truth table

  4. Truth Table → Equation Technique The Process • Add test-points at the output of every gate. • Add a column to the truth table for every test-point. • Working from the inputs to the output, complete the truth table for each test-point, ultimately ending at the circuit’s output. • From the completed truth table, identify the Minterms from the truth table anywhere the output is one. • Using the extracted Minterms, write the Sum-Of-Products logic expression.

  5. Truth Table → Equation Process Walk-Thru Analyze the logic circuit shown below to determine the circuit’s truth-table. Using the truth table, derive the logic expression for the output F1.

  6. Truth Table → Equation Process Walk-Thru : Step (a) • Add test-points at the output of every gate. TP1 TP2 TP3 TP5 TP4

  7. Truth Table → Equation Process Walk-Thru : Steps (b) & (c) Add a column to the truth table for every test-point. Working from the inputs to the output, complete the truth table for each test-point, ultimately ending at the circuit’s output.

  8. Truth Table → Equation Process Walk-Thru : Steps (d) & (e) From the completed truth table, identify the Minterms from the truth table anywhere the output is one. Using the extracted Minterms, write the Sum-Of-Products logic expression.

  9. Example #1: Circuit Analysis • Example • Analyze the logic circuit shown below to determine the circuit’s truth table. Using the truth table, derive the logic expression for the output F2.

  10. Example #1: Circuit Analysis Solution TP1 a) TP2 TP3 TP4 TP5 b) & c) e) d) e)

  11. Equation → Truth Table Technique • The Process • Working from the inputs to the output, write the cumulating logic expression at the output of each gate concluding with the expression for the circuit’s output. • Using the circuit’s output logic expression, derive the circuit’s truth table.

  12. Equation → Truth Table Technique Process Walk-Thru Analyze the logic circuit shown below to determine the logic expression for the output F1. Using the logic expression, derive the circuit’s truth table.

  13. Equation → Truth Table Technique Process Walk-Thru : Step (a) Working from the inputs to the output, write the cumulating logic expression at the output of each gate concluding with the expression for the circuit’s output.

  14. Equation → Truth Table Technique Process Walk-Thru : Step (b) Using the circuit’s output logic expression, derive the circuit’s truth table.

  15. Example #2: Circuit Analysis • Example • Analyze the logic circuit shown below to determine the logic expression for the output F1. Using the logic expression, derive the circuit’s truth table.

  16. Example #2: Circuit Analysis Solution a) b)