1.

Simplify the following expression, using Boolean laws :2 A • (A' + B) • C • (A + B)

Answer»

A·(A' + B)·C·(A + B)

= (A·A' + A·B)·(C·A + C·B) (Distributive law) 

 = AB ·(CA + CB) (Complement law)

= AB·CA + AB·CB (Distributive law)

= ABC + ABC (Idempotent law)

= ABC  (Idempotent law)



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