Computer Science
Simplify a.b + a'.c + b.c using the laws of boolean algebra. At each step, state clearly the law used for simplification.
Boolean Algebra
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Answer
a.b + a'.c + b.c
= a.b + a'.c + b.c(a + a') [Complementary Law: A+A'=1]
= a.b + a'.c + a.b.c + a'.b.c [Distributive Law]
= a.b + a.b.c + a'.c + a'.b.c [Associative Law]
= a.b + a'.c [Absorbtion Law]
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