Construct a dfa that accepts strings on {0,1} if and only if the value of the string, interpreted as a binary representation of an integer, is zero modulo five. For example, 0101 and 1111, representing the integers 5 and 15, respectively, are to be accepted.
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- 1. Construct a DFA which accepts set of all strings over {0,1} when interpreted as binary number divisible by 5.2.a Σ : {c,A,G,T}, L = { w : w = CAG™T™C, m = j + n }. For example, CAGTTC E L; CTAGTC ¢ L because the symbols are not in the order specified by the characteristic function; CAGTT ¢ L because it does not end with c; and CAGGTTC € L because the number of T's do not equal the number of A's plus the number of G's. Prove that L¢ RLs using the RL pumping theorem.Solution Floating point representation: It is defined as the representation of floating numbers. It includes sign bit, exponent, and mantissa bits. Based on precision it has 2 types. 1. For IEEE 754 single-precision floating-point numbers, what is the exponent of a denormalized floating-point number in decimal? Solution: In IEEE 754 single-precision, exponent bits are 8. Therefore exponent = 2 ^(n-1) -1 = 2^(8-1) -1 = 127 OPTION D 2. For IEEE 754 single-precision floating-point numbers, how many bits for mantissa? Solution: In IEEE 754 single-precision, there are 23 bits for mantissa. sign = 1 bit exponent = 8 bits mantissa = 23 bits 3. For IEEE 754 single-precision floating-point numbers, which of the following is an example of NAN? Solution: In IEEE 754 single-precision, NAN is a special value where all exponents bits are 1's and the mantissa is non zero. a. 1 111 1 111 0000 0000 1101 0000 0000 0000 Exponent is not all 1's. Not a NAN b. 0 111 1 111 1000 0000…
- 3. Give the following FAs over the alphabet Σ ={0,1,2} a-) A DFA for { strings in which the number of even digits is odd} b-) A DFA for { strings, when interpreted as a base-3 number, are even numbers } c-) A DFA for { strings, when interpreted as a base-3 number, are even numbers having odd number of even digits } d-) A DFA for { strings, when interpreted as a base-3 number, are not an even number} e-) An & -NFA for {], when interpreted as a base-3 number, is an even number} (@: reverse of @ )Explain with an example the situation where using read() is appropriate andalso an example where readlines() is appropriate.Let L = { w ∈ { a, b, c }*| w contains bc once in the string}. Construct an FSA that recognizes L
- 6. Build CFG to generate all strings of the form 0n 1 3n+2, where n is greater or equal to 0Build PDA to generate all strings of the form 1¹0 2nn where n>=0Programming language: Dr. Racket Write a function encode that consumes a string message. The function produces a string which is encrypted according the following procedure: Only the letters from the original message will be encrypted. Other characters such as spaces, punctuation, numeric digits, etc. are not included in the encrypted message at all. The encrypted message will only contain uppercase letters. Each letter will be replaced by the uppercase letter at the opposite end of the English alphabet.In other words, A or a will become Z, B or b will become Y, C or c will become X, ..., Z or z will become A. The encrypted message will have a single space separating each letter. You may assume that the letters in message are English letters only. For example: > (encode "Cat") "X Z G" > (encode "Is this correct?") "R H G S R H X L I I V X G"Write a function anagram that accepts two text strings and returns True if the strings are anagrams of each other, and False otherwise.
- Please solve this in C programming language as early as possible. Suppose, you are trying to encrypt a string for security purpose. Write a program that can take a string from the user and then create a function that can replace all the vowels to its immediate next letters. Print the modified string. Don't use any Library function. Use this function: void str_modify(char *p); (6) Example: Input string: i love Bangladesh. Modified string: j lpvf Bbnglbdfshjavanis, lso known as "langue de fe"(fire langage), is a slang coding process that was used in the late 19th century bu some criminals to encript their conversation. Write a program that returns the javanais translation sentence. How it works Before each of the following vowel(a,e,i,o,u) insert the parasitic syllabe "av" unless the vowel is preceded by another vowelWrite a C function strSumNums() that takes a string as parameter, computes and returns the sum of numbers in the string.This function can call a function that returns the address of first digit character in a string.Example: "CS101 and CS363 are 2 CS courses." → 466 (= 101 + 363 + 2)Prototype:int strSumNums(char str[]);