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Find the complements of the expressions :

(i)  X + YZ + XZ

(ii)  AB(C’D + B’C)

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(i) X + YZ + XZ

= (X + YZ + XZ)’ 

= (X)’(YZ)’(XZ)’

= X’(Y’ + Z’)(X’ + Z’)

(ii) AB(C’D + B’C)

= (AB)’(C’D + B’C)’

= (AB)’((C’D)’ + (B’C)’)

=(AB)’(CD’ + BC’)

=(A’ + B’)+(C + D’)(B + C’)

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