Digital Logic Simplify: F = (x’∙ y’∙ z’) + (x’∙ y ∙ z’) + (x ∙ y’...
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Digital Logic
Simplify:
F = (x’∙ y’∙ z’) + (x’∙ y ∙ z’) + (x ∙ y’ ∙ z’) + (x ∙ y ∙z)
F = (x + y + z’) (x + y’ + z’) (x’ + y + z’) (x’ + y’ + z)
Digital Logic
Simplify:
F = (x’∙ y’∙ z’) + (x’∙ y ∙ z’) + (x ∙ y’ ∙ z’) + (x ∙ y ∙z)
F = (x + y + z’) (x + y’ + z’) (x’ + y + z’) (x’ + y’ + z)
Answer & Explanation Solved by verified expert
F = (x’ y’ z’) + (x’ y z’) + (x y’ z’) + (x y z)
F = x’z’(y’ + y) + (x y’ z’) + (x y z)  { By Distributive
law PQ+PR= P(Q+R) }
F = x’z’(1) + (x y’ z’) + (x y z)  { We know that P+P'=1
}
F = x’z’ + x y’ z’ + (x y z)
F = z’(x’ + x y’) + (x y z)
F = z’
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