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Logic Functions and Minimization
Question

let * be defined as X*Y = !X+Y. Let z= X*Y value of Z*X is

Answer

Z= X*Y

Then value of Z*X

Z*X=(X*Y)*X

=(!X+Y)*X

=(!(!X+Y))+X

=X.!Y+X

By absorption law a + ab = a

X.!Y+X=X

Therefore

Z*X = X