Microsoft Word - Digital Logic Design v_4_6a

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2.2. Logic Gates


 The rest of the class relies on two-valued Boolean Algebra, i.e. B = {0, 1}
 We use variables X, Y, Z, A, B, ... and constants 0 and 1
**Note “0” and “1” are also called identity elements


 Binary operators
 “+” called “OR”


  • “OR” symbol  Z=X+Y

  • “OR” truth table
    X Y X+Y
    0 0 0
    0 1 1
    1 0 1
    1 1 1

  • Review the 74LS32 Data sheet on the website


 “.” called “AND”



  • AND symbol  Z=X.Y

  • “AND” truth table


X Y X.Y
0 0 0
0 1 0
1 0 0
1 1 1


  • Review the 74LS08 Data sheet on the website


 “ ” Called “NOT, Inversion, negation”

X


Y


Z


X


Y


Z

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