For the finite state automaton given by the transition diagram in figure 1, find the states, the input symbols, the initial state, the accepting states and write the annotated next state table Figure 1 8 b 02 b a 03 b b
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- The figure below shows a binary symmetric channel where each symbol ("0" or "1") sent is inverted with probability "p", independently of all other symbols. In simple terms, when "0" is transmitted, probability of receiving "1" is "p" and probability of receiving "0" is "1-p". When "I" is transmitted, probability of receiving "0" is "p" and probability of receiving "1" is "1-p". Transition probabilities 1-p Transmitted signals Received signals 1-p Lets suppose that p = 1/4, P("0" transmitted) = 2/3 and P("1" transmitted) = 1/3. What is the probability that actually a "101" was transmitted given that "110" is received? O a. 2/27 O b. 6/175 O. 3/64 O d. 64/3125 O e. 175/1728a) List all the steps performed by Linear Search for the input L = 1,3,5,7,9,11,13 and x = 5.b) List all the steps performed by Binary Search for the input L = 1,3,5,7,9,11,13 and x = 5.Show that A5 has 24 elements of order 5, 20 elements of order 3, and 15 elements of order 2.
- please show computation. thank you!The [n, 1, n]-binary repetition code has the messages 0 and 1, and the codewords 00...0 and 11 1 each of length n. Find a generator matrix and a parity check matrix for this code.Fill in the table for the transition function for the FSA with the alphabet E = {0, 1} that recognizes the language of non-empty strings. Please use the names of the states listed on the left as your answers in the table. 'zero' is the start state. state 1 zero one The accept states are O A. zero B. one
- Find all centralisers and conjugacy classes in .S3A DNA molecule is shown below. A nucleotide is represented by one of the letters {a, t, c, g}. A codon is defined to be a triplet of nucleotides. The order of the nucleotides in a codon is significant, and the nucleotides can be repeated. These codons are important in determining how DNA is transformed into protein. How many different codons are possible? codons S = sugar p = phosphate g = guanine C = cytosine a = adenine t = thymine basesExercises 1. Express each permutation as a product of disjoint cycles and find the orbits of each permutation. a. b. c. d. e. f. g. h.