Question

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Answer (Detailed Solution Below)

Option 2 : Pi M(0,2,4,7) / Pi M(0,2,4,7)

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Detailed Solution

सही उत्तर Pi M(0,2,4,7) / Pi M(0,2,4,7) है।

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Question:

A 3-variable function is given in canonical sum-of-products form as F(A,B,C) = Sigma m(1,3,5,6). What is its canonical product-of-sums (maxterm) form? / 3-चरीय फलन विहित योग-गुणनफल रूप में F(A,B,C) = Sigma m(1,3,5,6) दिया है। इसका विहित गुणनफल-योग (मैक्सटर्म) रूप क्या है?

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Pi M(1,3,5,6) / Pi M(1,3,5,6)
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Pi M(0,2,4,7) / Pi M(0,2,4,7)
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Sigma m(0,2,4,7) / Sigma m(0,2,4,7)
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Pi M(0,1,2,7) / Pi M(0,1,2,7)

Correct Answer: Pi M(0,2,4,7) / Pi M(0,2,4,7)

The minterms absent from the ON-set form the OFF-set: {0,2,4,7}. Canonical POS is the product of the maxterms of the OFF-set, i.e. Pi M(0,2,4,7). / ON-समुच्चय में अनुपस्थित मिंटर्म OFF-समुच्चय {0,2,4,7} बनाते हैं; विहित POS = Pi M(0,2,4,7)।

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