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Convert the following equation into sum of product (sop) form : R = L + M'(N'M + M'L)

Expanding \(R = L + M'(N'M + M'L)\) using Boolean identities gives \(R = L + M'N'M + M'M'L = L + 0 + M'L = L\). Expressing \(L\) as a sum of products over \(M\) and \(L\)…

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Convert the following equation into sum of product (sop) form :
R = L + M'(N'M + M'L)

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Correct answer D

Expanding R=L+M′(N′M+M′L)R = L + M'(N'M + M'L) using Boolean identities gives R=L+M′N′M+M′M′L=L+0+M′L=LR = L + M'N'M + M'M'L = L + 0 + M'L = L. Expressing LL as a sum of products over MM and LL gives L(M+M′)=ML+M′LL(M + M') = ML + M'L. Among the other options, (M+L)(M′+L)(M + L)(M' + L) is in product-of-sums form, while M′L′+MLM'L' + ML and L+M′NL + M'N are not logically equivalent to LL.

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  • Rajasthan SET (RSET)

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