Question 3 - MCQ questions (1 mark each) - Chapter 12 Class 11 - Boolean Algebra

The following logic circuit represents the expression: X Y Y Z

(a) (X'.Y)+(Y+Z)'

(b) (X+Y) (Y+Z)

(c) (X.Y) (Y.Z)

(d) (X.Y)+(Y+Z)'

Answer:

((X+Y)’ + (Y+Z)’)’ =  ((X+Y)’)’ . ((Y+Z)’)’           (Using DeMorgan’s first law)

                               = (X+Y).(Y+Z)                       (Using Inversion law)

So, the correct answer is (b).