boolean algebra applications (reliability of circuits)
DESCRIPTION
Boolean Algebra ApplicationsTRANSCRIPT
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BOOLEAN ALGEBRA APPLICATIONSRELIABILITY OF CIRCUITS
Boolean Algebra Applications
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Boolean Algebra Applications*
Boolean Algebra Applications
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Boolean Algebra Applications*
Boolean Algebra Applications
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Boolean Algebra Applications*
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Boolean Algebra Applications*
Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Sum can be converted into arithmetic sumwhen we obtain a non-overlapping expression
Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications*
Boolean Algebra Applications
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Boolean Algebra Applications*
Boolean Algebra Applications
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Non-overlapping expression using K-map
Boolean Algebra Applications
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Boolean Algebra Applications
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F & M METHODL. Fratta & V. Montanari
Discuss Boolean algebra approach for determining terminal reliability
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AlgorithmDetermine all pathsWrite down the corresponding Boolean expressionDetermine non-overlapping simplificationTransform into mathematical expressionSubstitute reliability values
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AlgorithmStep 1:Let S be the set of all simple paths between the terminal nodes. Construct a Boolean sum of products f, where each product corresponds to a path S and whose factors are exactly the non-complemented variables corresponding to the arcs in the path
Boolean Algebra Applications
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AlgorithmLet P = 0
Step 2:If f has no terms, stopStep 3:Select any term A of fStep 4:Let A be the arithmetic monomial which is equivalent to A
Boolean Algebra Applications
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Boolean Algebra Applications*Algorithm
Let P = P + A _Step 5: Let A f f and reduce f to a sum of products. Go to step 2.
Boolean Algebra Applications
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Example:
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K- Map Method
Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Example:
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X1X2
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X3X4
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X1X4X5
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X2X3X5
Boolean Algebra Applications
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Non-overlapping exp. using K-Map
Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications
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Boolean Algebra Applications*Questions ?
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