BOOLEAN ALGEBRA

Question 1

x + xy = ?

Answer 1

x + xy = x(y + 1) = x

Question 2

x + x̄y = ?

Answer 2

x +x̄ y = x + xy + x̄ y = x + y (x + x̄ ) = x + y

Question 3

x̄ +xy = ?

Answer 3

x̄ +x y = x̄ + x̄y +xy = x̄ + y (x̄ +x ) = x̄ + y

Question 4

(A + B)’ = ?

Answer 4

(A + B)’ = A’ x B’

Question 5

(AB)’ = ?

Answer 5

(AB)’ = A’ + B’