Boolean Algebra

12 questions

Q1
How many ordered pairs (A,B)(A, B) make A′B+AB′A'B + AB' true? (AA and BB are each 0 or 1)
Q2
What is (A+B)′(A + B)' simplified using DeMorgan's?
Q3
Simplify: A+A′BA + A'B
Q4
Simplify: (A+B)(A+B′)(A + B)(A + B')
Q5
How many ordered pairs (A,B)(A, B) make A′+BA' + B true? (AA and BB are each 0 or 1)
Q6
Simplify: A(A+B)A(A + B)
Q7
Which expression is equivalent to A′B+ABA'B + AB?
Q8
Find all ordered triples (A,B,C)(A, B, C) where AA, BB, CC are each 0 or 1 that make A′BC+AB′CA'BC + AB'C true. List them as comma-separated triples.
Q9
Simplify: A′B′C+A′BC+AB′C+ABCA'B'C + A'BC + AB'C + ABC
Q10
Which law states that A+AB=AA + AB = A?
Q11
Simplify: (AB)′(AB)' using DeMorgan's Law.
Q12
Simplify: AB+AB′+A′BAB + AB' + A'B