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Create the Mealy type state machine with input X and output Y. Y must be 1 whenever sequence 110 or 101 has been detected on X on last 3 consecutive rising clock edges (or ticks). Otherwise, Y=0. Use at most two D flip-flops. Example input-output combination is given below:
X 0 0 1 1 0 0 1 0 1 0 0 1 1 1 0 1 0 0 1 0 1 1 0 0 1 1 0 0 1 1Y 0 0 0 0 1 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 1 0 1 0 0 0 1 0 0 0
A research strategy is a plan of action that gives direction to your efforts enabling you to conduct your research systemically rather than haphazardly.
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 ?
Write down the algorithm for finding useless/productive nonterminals. Describe how this gives you the algorithm for whether language generated by grammar is empty.
Argue that the following prob is NP Complete. Given list of positive integers, u1,u2,...un (in binary representation) and asked if there is partition of this set into 3 subsets, each of which has same sum.
Show that the following identities hold for regular expressions over any alphabet: epsilon + R*R = R*. These should be done by interpreting the regular expressions as languages.
Design Turing machine (using Sipser notation) having at least 4 nontrivial (i.e., nonrejecting) states and at least six nontrivial (i.e., not to the rejecting state) transitions.
Create a Mealy Machine which produces the output of 1 whenever discrepancy in above pattern is detected, and produces the output of 0 otherwise. Write states meaningful names.
Design in JFLAP a Truing machine that takes as input a tape containing a series of n 1s, Where n >= 0, terminated by an = sign.
In this problem, we consider a very restricted subset of Boolean expressions. Define an operator to be one of the four symbols: ¬, ∧, ∨, and →. Define a variable to be one of the five symbols
There are four processes that are going to share nine tape drives. Their current and maximum number of allocation numbers. Is system in a safe state? Explain why or why not?
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).
Create a standard 1-tape Turing machine M to calculate the function sub3. Specifically, calculate sub3 of a natural number represented in binary.
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