Verify the following using Boolean Laws: U’ + V = U’V’ + U’.V + U.V



To prove:  U’ + V = U’V’ + U’.V + U.V 



= U’V’ + U’.V + U.V 

= U’.(V+V’) + U.V                                         (using distributive law)

= U’.(1) + U.V                                               (using complement law)

= U’ + U.V                                                    (using identity law)

= (U’+U) . (U’+V)                                          (using distributive law)

= 1.(U’+V)                                                     (using complement law)                     

= U’+V                                                          (using identity law)


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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.