Question

rove or disprove that ?̅y + y? =?

Answer 1

Here x and y are two Boolean variable and take value 0 or 1 .

we will use some properties of Boolean algebra for this :

Property :    x.( y + z ) = x.y + x.z ( Distributive Property)

Property : (Complement property )

Property : x.1 = x ( Identity law)

Property : x.y = y.x ( commutative law)

So for our question :

Proof: using distributive property ,

  

using Complementary property,

  

Now using identity Law ,  

Hence proved   

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