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Question -

Verify the following using Boolean Laws X + Z = X + XтАЩ. Z + Y. Z



Answer -

Taking RHS
X + XтАЩZ + YZ
= (X + XтАЩ). (X + Z) + YZ (Distribution Law)
= 1. (X + Z) + YZ┬а ┬а (A + AтАЩ = 1)
= X + Z + YZ
= X + Z (1 + Y)
= X + Z┬а ┬а (1 + A = 1; 1. A = A)
= Hence verified

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