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Lecture32-Basics of Digital Logic

# Lecture32-Basics of Digital Logic - Lecture 32 Lecture 32...

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ecture 32 Lecture 32 Digital Logic Gates Reading: Jaeger 6.1-6.4 and Notes ECE 3040 - Dr. Alan Doolittle Georgia Tech

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Basic Logic Gates NOT or Inverter Gate: (Asks, is the input false?) False=State “0” Input Output True=State “1” A Z ogic Function: Logic Function: Truth Table: A Z Input Output A Z 01 ECE 3040 - Dr. Alan Doolittle Georgia Tech 1 0
Basic Logic Gates AND Gate: (Asks, are all inputs true?) Inputs Output A B Z ogic Function: B Logic Function: Truth Table: AB Z Inputs Output A BZ 000 ECE 3040 - Dr. Alan Doolittle Georgia Tech 0 1 0 100 111

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Basic Logic Gates OR Gate: (Asks, is any input true?) Inputs Output A B Z ogic Function: Logic Function: Truth Table: B A Z Inputs Output A BZ 000 ECE 3040 - Dr. Alan Doolittle Georgia Tech 0 1 1 101 111
Basic Logic Gates Any more complex functionality can be constructed from the b i t b i D M ’ L three basic gates by using DeMorgan’s Law: N C B A N ABC ... ... The complement of the product is replaced with the sum of the complements The complement of the sum replaced with the product N C B A N C B A ... ... is replaced with the product of the complements Note: Only the AND, OR and Inverter gates are considered “Basic” logic ECE 3040 - Dr. Alan Doolittle Georgia Tech Gates

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Non-Basic Logic Gates NAND Gate: (Asks, is any input false?) Inputs Output A B Z ogic Function: B Logic Function: Truth Table: AB Z Inputs Output A BZ 001 ECE 3040 - Dr. Alan Doolittle Georgia Tech 0 1 1 101 110
NOR Gate: (Asks, are all inputs false?) Non-Basic Logic Gates Inputs Output A B Z ogic Function: Logic Function: Truth Table: B A Z Inputs Output A BZ 001 ECE 3040 - Dr. Alan Doolittle Georgia Tech 0 1 0 100 110

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Lecture32-Basics of Digital Logic - Lecture 32 Lecture 32...

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