Construct CFGs to accept all strings from the following languages: • R = a* R=a+ - R = a*b* • R = a+b+ • R = a* Ub* • R = (a Ub)* • R = a*b*c*
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Construct CFG's to accept all strings from the following languages:
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- 5. Design an FSM over the alphabet (0, 1) that accepts strings that do NOT have 111 as a substring. For example: 1011 and 000110 will be accepted but 011100 and 111101 will not.Find two strings belong to the language represented by the following regular ?expressions * ab)*b) إجابتك * a(alb)*a إجابتك * a(a+b)2 إجابتك *baa إجابتك *(ab+b) إجابتك * aa+bb إجابتك صفحة 3 من 6Devise a Context free grammor that generates L= [ Wiw2: We, We, E La,b]* and wit We
- String Implement a custom type for representing strings in C++. Allow following operations as well as operators, considering dynamic memory allocation: Operations: • length: determine the length of string upper: convert the string to upper case • lower: convert the string to lower case • at: return character at a given index • substring: extract a substring given start and end • index: find starting index of a substring • compare: compare two strings concat: concatenate/append the argument after current string. Cater cases for different data types such as String, C-string, char, int, float prepend: concatenate/append the argument before current string. Cater cases for different data types such as String, char, int, float Operators: + : for concatenation and prepend operations taking into account different data types and order of argumets = : for assignment • =, !=, : for comparison operations ] : for access to character at a given index >> and << : for output and input a stringWrite Context Free Grammers for: All strings having even a’s and odd b’s All strings that start and end with different letters anbn anbmanQ: Use recursive definition for the following languages Define the language L, having even number of a’s and even number of b’s. Define the language L, in which the a’s appear tripled means a’s appears in chunk of 3, 6,… Define the language L, in which all words contain only 2 b’s but any number of a’s
- Q Construct the transition di per the following regular expressitus @ (a/b)* abb (a/b)* (a/b) (ab)* b/a (66) * сладчатSolution 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…4. Enumerate the first four strings in the following languages, where E = {0, 1}: Let L2 = {w: w begins with 1} Let L3 = {w: w contains exactly one 1} a) LL3 b) L,* c) L2N L; d) L2 U L3 e) L2C
- Write in C language Description 請寫一個程式找到三個數的最大公因數。 Please write a program to find the greatest common divisor of three number. Input 輸入會包含多筆測試資料，每筆測試資料一行，每行中有三個正整數，整數間會用一個空白隔開。 Input consist several test case, each test case a line. For every test case there are three integer in it and separate by a space. Output 對每一筆測試資料輸出一行結果。 For each test case output the result in one line. Sample Input 1 3 6 9 10 15 20 Sample Output 1 3 5write in c language Note:the sample input is: And the sample output is ; 3 6 9 3 10 15 20 5 Not 3 6 9 3 both inputs need to be in the output Description 請寫一個程式找到三個數的最大公因數。 Please write a program to find the greatestcommon divisor of three number. Input 輸入會包含多筆測試資料，每筆測試資料一行，每行中有三個正整數，整數間會用一個空白隔開。 Input consist several test case, each test case a line. For every test case there are three integer in it and separate by a space. Output 對每一筆測試資料輸出一行結果。 For each test case output the result in one line. Sample Input 1. Sample Output 1 3 6 9 3 10 15 20 5Using HASKELL Define function sumProduct that receives a list of numbers and returns a pair, where the first component is the summation of the list elements, and the second component is the multiplication of the list elements. For example, if the input is [2,4,3,5] then the output is (14, 120).