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Lecture32-Basics+of+Digital+Logic

# Lecture32-Basics+of+Digital+Logic - ECE 3040...

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ECE 3040 - Dr. Ying Zhang Georgia Tech ECE 3040: Microelectronic Circuits Lecture 32 Reading: Jaeger 6.1-6.12, Notes

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ECE 3040 - Dr. Ying Zhang Georgia Tech ± Review of Boolean Algebra ± Logic Levels and Noise Margins ± Rise and Fall Times ± Propagation Delay ± Power-Delay Product Agenda
ECE 3040 - Dr. Ying Zhang Georgia Tech Basic Logic Gates NOT or Inverter Gate: (Asks, is the input false?) Logic Function: Truth Table: A Z = A Input Output AZ 01 10 Input Output Z False=State “0” True=State “1”

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ECE 3040 - Dr. Ying Zhang Georgia Tech Basic Logic Gates AND Gate: (Asks, are all inputs true?) Logic Function: Truth Table: AB Z = A B Inputs Output AB Z 000 010 100 111 Inputs Output Z
ECE 3040 - Dr. Ying Zhang Georgia Tech Basic Logic Gates OR Gate: (Asks, is any input true?) Logic Function: Truth Table: B A Z + = A B Z Inputs Output AB Z 000 011 101 111 Inputs Output

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ECE 3040 - Dr. Ying Zhang Georgia Tech Basic Logic Gates Any more complex functionality can be constructed from the three basic gates by using DeMorgan’s Law: Note: Only the AND, OR and Inverter gates are considered “Basic” logic Gates N C B A N C B A N C B A N ABC ... ... ... ... = + + + + + + + = The complement of the product is replaced with the sum of the complements The complement of the sum is replaced with the product of the complements
ECE 3040 - Dr. Ying Zhang Georgia Tech Non-Basic Logic Gates NAND Gate: (Asks, is any input false?) Logic Function: Truth Table: AB Z = A B Inputs Output AB Z 001 011 101 110 Inputs Output Z

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ECE 3040 - Dr. Ying Zhang Georgia Tech NOR Gate: (Asks, are all inputs false?) Logic Function: Truth Table: B A Z + = A B Inputs Output AB Z 001 010 100 110 Inputs Output Z Non-Basic Logic Gates
ECE 3040 - Dr. Ying Zhang

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Lecture32-Basics+of+Digital+Logic - ECE 3040...

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