Question

Prove algebrically that X+X'Y=X+Y​

Answer 1

By using following logical rules:

A + B C = ( A + B)(A + C) ,

1(A) =A ,

A+A'= 1

Explanation:

X + X' Y = (X + X') ( X + Y )

= ( 1 ) (X + Y )

= X + Y

Answer 2

Answer:

LHS= X+X'Y

=X.1+X'Y

=X(1+Y)+X'Y       (since 1+Y=1)

=X+XY+X'Y

=X+Y(X+X')

=X+Y.1               SINCE(X+X'=1)

=X+Y

=RHS

         hence proved

Explanation:

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