Consider the following Boolean equations:

(i) wx + w(x + y) + x(x + y) = x + wy

(ii) (w x̄ (y + x z̄) + w̄ x̄) y = x̄ y What can you say about the above equations?

1. A(i) is true and (ii) is false
2. B(i) is false and (ii) is true
3. CBoth (i) and (ii) are true
4. DBoth (i) and (ii) are false

Pick an option to check yourself, or open the answer below.

Show answer & explanation

Correct answer: C. Both (i) and (ii) are true

Explanation

(i) wx + wx + wy + x + xy = x + wy (x absorbs wx and xy). (ii) w x̄ x z̄ = 0, so the bracket is w x̄ y + w̄ x̄; times y gives w x̄ y + w̄ x̄ y = x̄ y. Both are true.