ECET 100 Summary: Week 6

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ktess06
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200170
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ECET 100 Summary: Week 6
Updated:
2013-02-12 21:27:55
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Boolean algebra logic simplification
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  1. The inverse or opposite of a number. In Boolean algebra, the inverse function, expressed with a bar over a variable. The complement of a 1 is 0, and vice versa.
    Complement
  2. The Boolean product of two or more literals equivalent to an AND operation.
    Product term
  3. A form of Boolean expression that is basically the ORing of ANDed terms.
    Sum-of-products (SOP)
  4. The Boolean sum of two or more literals equivalent to an OR operation.
    Sum term
  5. A symbol used to represent a logical quantity that can have a value of 1 or 0, usually designated by an italic letter.
    Variable
  6. A+B=B+A
    AB=BA
    Commutative Laws
  7. A+(B+C)=(A+B)+C
    A(BC)=(AB)C
    Associative Laws
  8. A(B+C)=AB+AC
    Distributive Law
  9. A+0=A
    Boolean rule:1
  10. A+1=1
    Boolean rule:2
  11. A*0=0
    Boolean rule:3
  12. A*1=A
    Boolean rule:4
  13. A+A=A
    Boolean rule:5
  14. A+A'=1
    Boolean rule:6
  15. A*A=A
    Boolean rule:7
  16. A*A'=0
    Boolean rule:8
  17. A"=A
    Boolean rule:9
  18. A+AB=A
    Boolean rule:10
  19. A+A'B=A+B
    Boolean rule:11
  20. (A+B)(A+C)=A+BC
    Boolean rule:12
  21. The complement of a product is equal to the sum of the complements of the terms in the product. (XY)'=X'+Y'
    DeMorgan's Theorems 1
  22. The complement of a sum is equal to the product of the complements of the terms in the sum. (X+Y)' = X'Y'
    DeMorgan's Theorem 2

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