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Create a Mealy FSM with an input A and an output Z. If 10101 shows up on A, then in the same cycle 1 should show up on Z, else Z is 0. Do the entire FSM design following all steps: State diagram, state tables, all equations, and circuit. All unneeded states are don't-cares. Finally, you may only use D flip-flops for state (no other flip-flops/latches). Show all work for all stages for full credit.
USE Decoders for the logic in the combinational part of the circuit, only use a few gates to finish the logic. Use the minimum number and minimum size decoders necessary to answer the problem.
Express the following set as a regular expression: The set of all strings of length at least three over {0,1} such that every three consecutive.
Consider the language L = L1 ∩ L2, where L1 = {ww^R : w ∈ {a, b}* and L2 = {a^n b*a^n: n ≥ 0}. Write the first four strings in the lexicographic enumeration of L?
Give a construction that assumes you are given a DFA for L and show how to construct an NFA (with or without ε-moves) to recognize sort(L).
Discuss the impact of Moore's law on data center costs on such things as servers and communications equipment. List at least 3 steps or recommendations your data center can take to offset some or all of the effect of Moore's law.
Show that the language F = {a^i b^j c^k | i, j, k greater than or equal to 0 and if i = 1 then j = k} is not regular. Show, however, that it satisfies the statement of the pumping lemma
We know by rice's theorem that none of the following problems are decidable. However,are they recursively enumerable,or non-RE? IS L(M) infinite?
We showed to prove that if L can be identified by DFA then the language left half(L) = {x ∈ ∑*|∃y xy ∈ L and |x| = |y|} is also regular; here |x| means length of x.
Considering a single programmed operating system, what is the minimal total time required to complete executions of the two processes? You should explain your answer with a diagram.
Describe the difference between a Deterministic Finite Automata and Non-Deterministic Finite Automata. In general, which one is expected to have less number of states ?
Redundant sequence identi cation
Write a program would read two numbers and then print all numbers between the first and the second, inclusive. Design unambiguous grammar to parse expressions
Write some examples of declarative knowledge. Write some examples of procedural knowledge. Then, compare examples, highlighting the similarities & differences.
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