Check sibling questions
Computer Science - Class 11
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)'

The following logic circuit represents the expression X Y Y Z - Teachoo.jpg

 

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).

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.