1. Boolean algebra does have some of its own laws, it also simply borrows some from regular algebra. Association involves:
2. The Associative Law is what allows you to group variables into brackets, and to break brackets apart again
3. In Boolean algebra, A+B+C could be laid out as (A+B)+C or as A+(B+C)
4. Consider the following and select the correct equivalent statement: (2+3)+4= 9
5. The associative law states that if the parentheses (brackets) are rearranged in any way, the values of the expressions will also be immediately and always altered.
6. Associativity is not the same as commutativity, which addresses whether or not the order of two operands changes the result
7. Formally, a binary operation ? on a set S is called associative if it satisfies the associative law: (x ? y) ? z =
8. Assuming a binary operation is associative, ((ab)c)d could also be written as:
9. Consider the following example and fill in the blanks.
10. (A + B) + C could also be written as:
11. (A B) C could also be written as:
12. Associative Law: (A + B) C = A (B C)
13. Associative law: (A + B) + C = A + (B + C)
14. The associative law also states that A + A B = A
15. The following is demonstrating which law?: A + (B + C) = (A + B) + C = A + B + C
16. Complete the equation for the AND Associative Law: A(B.C) = (A.B)C =
17. The Absorptive law is identical to the Associative law >> A + (A.B) = A
18. The Associative law allows the_________________ from an expression and regrouping of the variables.
19. The following is correctly depicting the OR Associative law: A + (B + C) = (A + B) + C = A + B + C
20. It is useful to remember that in Boolean Algebra the '+' in ordinary arithemetic is similar to the 'OR' and the '*' is similar to an 'AND'.