Combinational Logic

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CHAPTER 3 COMBINATIONAL LOGIC

Basic Combinational Logic Circuits AND-OR LOGIC

 A B

X=AB+CD

C D



A B C

& ≥1 &

D

AND-OR-INVERT LOGIC

A B C D

X=AB+CD

A B C D

& ≥1 &

Basic Combinational Logic Circuits 

Exclusive-ORLogic

A

X = AB + AB B

A B

A B

=1

X

Basic Combinational Logic Circuits 

Exclusive-NOR Logic

A

X = AB + AB B

A B

X = AB + AB

Implementing Combinational Logic 

From Boolean Expression to a Logic Circuit 



It’s usually best to reduce a circuit to its SOP form

From a Truth Table to a Logic Circuit

Universal Property of NAND & NOR Gates 

IC are packaged with a 4 gates per chip, buy only NAND IC and save a lots of money on inventory. One type of chip for all logic applications.

Universal Property of NAND & NOR Gates 

NAND gates as a Universal Logic Element: =

A

A B

=

A

= B

Universal Property of NAND & NOR Gates 

NOR gates as a Universal Logic Element: A A B A B

= = =

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