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Given a language 𝐿, define 𝐿𝑖 as follows

Q. Given a language 𝐿, define 𝐿𝑖 as follows: 𝐿0 = {𝜀} 𝐿𝑖 = 𝐿𝑖−1 ⋅ 𝐿 𝑓𝑜𝑟 𝑎𝑙𝑙 𝑖 > 0 The order of a language L is defined as the smallest k such that 𝐿𝑘 =    𝐿𝑘+1. Consider the language L1 (over alphabet 0) accepted by the following automaton. The order of L1 is Ans: 2 Sol: ...

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Consider the minterm list form of a Boolean function 𝐹 given below

Q. Consider the minterm list form of a Boolean function 𝐹 given below. 𝐹(𝑃, 𝑄, 𝑅, 𝑆) = ∑ 𝑚(0, 2, 5, 7, 9, 11) + 𝑑(3, 8, 10, 12, 14) Here, 𝑚 denotes a minterm and 𝑑 denotes a don’t care term. The number of essential prime implicants of the function 𝐹 is_______. Ans: 3 Sol: Essential ...

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Consider the weights and values of items listed below

Q. Consider the weights and values of items listed below. Note that there is only one unit of each item. Item numberWeight (in Kgs)Value (in Rupees)11060272834204224 The task is to pick a subset of these items such that their total weight is no more than 11 Kgs and their total value is ...

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Consider the following undirected graph G

Q. Consider the following undirected graph G: Choose a value for x that will maximize the number of minimum weight spanning trees (MWSTs) of G. The number of MWSTs of G for this value of x is Ans: 4 Sol: To maximize the number of minimum weight spanning trees of G, the value of x ...

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