Consider two cache organization: The first one is $$32$$ $$KB$$ $$2$$-way set associate with $$32$$-byte block size. The second one is of the same size but direct mapped. The size of an address is $$32$$ bits in both cases. $$A$$ $$2$$-to-$$1$$ multiplexer has latency. of $$0.6$$ $$ns$$ while a $$k$$-bit comparator has a latency of $$k/10$$ $$ns.$$ The bit latency of the set associative organization is $${h_1}$$ while that of the direct mapped one is $${h_2}.$$

The value of $${h_1}$$ is

Given two three bit number $${a_2}{a_1}{a_0}$$ and $${b_2}{b_1}{b_0}$$ and $$c,$$ the carry in the function that represents the carry generate function when these two numbers are added is

Let T be a depth first search tree in an undirected graph G. Vertices u and v are leaves of this tree T. The degrees of both u and v in G are at least 2. which one of the following statements is true?

Consider the depth-first-search of an undirected graph with 3 vertices P, Q, and R. Let discovery time d(u) represent the time instant when the vertex u is first visited, and finish time f(u) represent the time instant when the vertex u is last visited. Given that
d(P) = 5 units      f(P) = 12 units
d(Q) = 6 units      f(Q) = 10 units
d(R) = 14 unit      f(R) = 18 units
Which one of the following statements is TRUE about the graph