Question

simplify Y=(A+B) (A+B' )(A'+B') using boolean alzebra​

Answer 1

Y = ( A + B ) (A + B' ) (A' + B' )

Y = (A + B B' ) (A' + B' )

• Using Distributive Law X + Y Z = ( X + Y )( X + Z )

Y = ( A + 0 ) ( A' + B' )

• Using complementary law X X'=0

Y = A ( A' + B' )

Y = A A' + A B'

• Using Distributive law X ( Y + Z ) = X Y + Y Z

Y = 0 + A B'

• Using complementary law X X'=0

Y = A B'