# ECET 100 Summary: Week 6

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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
 Author: ktess06 ID: 200170 Card Set: ECET 100 Summary: Week 6 Updated: 2013-02-13 02:27:55 Tags: Boolean algebra logic simplification Folders: Description: Definitions Show Answers: