State and certify De-Morgan’s laws algebraically. – InterviewSolution

1.

State and certify De-Morgan’s laws algebraically.

Answer»

(i) X + X. Y = X

L.H.S = X + X.Y

= X.1 + X.Y

= X(1 + Y)

= X.1

= X = R.H.S

(ii) X + X'.Y = X + Y

L.H.S = X + X'.Y

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

= 1.(X + Y)

= X + Y = R.H.S

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