(p →r) V (q → r) is logically equivalent to
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Q: Prove or disprove that, for any regular expressions R and S, (R*S*)* = (R + S)*
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Q: 1. Draw the K-Map and give the minimized result from the following Boolean function: Z = f(A,B.C) =…
A: The K-map can be denoted as a graphical representation used for simplifying the Boolean expressions…
Q: a|(b +c) and a|(b −c).
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A: - Our guidelines restructs us to get engaged with more than one question. Kindly post the remaining…
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Q: Express the following Boolean expressions in simpler form; that is, use fewer operators. x is an in
A: The answer is
Q: Find the minterms of the following Boolean expressions by first plotting each function in a K-map:…
A: Given: C′D+ABC′+ABD′+A′B′D We need to make the k-map by using the given boolean expressions.
Q: Exercise 1: Z1 ', and express it in a + bi Z2 Given that Z1 = 1 – 2i, z2 =-3+4i. Find form.
A: Given details are:- z1 = 1-2i z2 = -3+4i To find:- z1 / z2
Q: 3- Simplify the following equations :
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Q: Create the K-maps and then simplify for the following functions: I) F(x,y,z) = x′y′z′ + x′yz′ +…
A: F(x,y,z) = x′y′z′ + x′yz′ + xy′z′ + xyz′ x'y'z' -0 x'yz' - 2 xy'z' - 4 xyz' - 6
Q: Write sum-of-products expansion of the Boolean function ?(?, ?, ?) = 0 if and only if ?? = 0.
A: The Answer is given below
Q: Q1/ Simplify the following Boolean functions in products of sums using K-map: (0, 2, 5, 6, 7, 8, 10)…
A: Given Query: 1. F(w,x,y,z) = Minterms(0,2,5,6,7,8,10) 2. F(A,B,C,D) = Maxterms(1,3,5,7,13,15)
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Q: a) Prove the following identity by algebraic manipulation: AB + A' C+ BC = AB + A' C b) For the…
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Q: Simplify Boolean function using K map. Variables are marked in order of x,y,z. 1 d. d d. 1 1
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Q: 4. Find the minterms of the following Boolean expressions by first plotting each K-map: (a) F (x, y,…
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Q: How can we prove that ¬(p ∧ q) ∧ (p v ¬q) ≡ ¬q Using the rules of logic I understand that: ¬(p ∧ q)…
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Q: 2. Prove the identity of each of the following algebraic manipulation only: A) Y + XZ + XY = X + Y +…
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Q: 3. Create the K-maps and then simplify for the following functions (leave in sum-of-products form):…
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Q: 1. Draw the K-Map and give the minimized result from the following Boolean function: Z = f(A,B,C) =…
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Q: Prove that: (a.(b+c))'=a'+(b'c') Find the duality expression
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Q: Q2/ Simplify using K- map for the following : Simplify the Boolean function F(A, B, C, D, E) (0, 2,…
A: F(A, B, C, D,E ) =∑( 0,2,4,6,9,13,21,23,25,29,31 ) A = 0 A=1 F =A'B'E' + BD'E +ACE
Q: Q3 a) Prove the following identity by algebraic manipulation: AB + A'C+ BC - AB + A'C b) For the…
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Q: 1. F= A'B'C'D' + ABC + ACD + ABD
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A: Minterm = ∑m(0,1,2,3,5,7,8,10,12,13,15)
Q: find the general solution, show the steps of derivation. yy’ + 36x = 0
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- Q5. Use recursive definition for the following languages Define the language L, having an even number of a’s and even number of b’s. Define the language L, in which all words contain only 2 b’s but any number of a’sLet L = {b, aab} and M = {a, b, aa, ab} be languages over the alphabet Σ = {a, b}.Compute the following languages.(a) L ∪ M(b) LM(c) L*Write a C++ program: A palindrome is a word that reads the same forwards and backwards for example "A Toyota" or "radar". Write a C++ program (we suggest pointers), that will ignore spaces but read in strings of characters and determines if they are palindromes. test: A Toyota
- Explain associative array in PHP with suitable example. Explain strcmp and strcasecmp functions of PHP with suitable example. Write a PHP code that eliminates the last word from a string. “I like Pakistan airlines” Explain For….Each in PHP with example.Find DFAs that accept the following languages. 1. L(ab(a + ab) ∗ (a + aa)) 2. L(ab∗a ∗ ) ∪ L((ab) ∗ ba)Construct a TM that accepts the following languages.a. L12={a2nbn | n ≥1}b. L5 = {02^n | n ≥1 }. i.e., the occurrences of 0 is always powers of 2, means, every time, you can divide the resultant to 2, recursively.
- Identify the type of automaton and obtain the regular expression corresponding to the following finite automaton The regular expression has to be validate with regex page like https://regexr.com/ or https://regex101.com/ Write the procedure of the conversion of the automaton to regular expression:Q.No.3 (a) Define through recursive definition , The language L of strings that start and end with different latters and also must contain aa in middle of each string, defined over Σ={a,b,c}. also Write at least 2 Valid and 2 Invalid strings belongs to this language (2+2) (b) Write the Regular expression for the language which accept no pair of consecutive a’s over Σ ={a,b} (1+1+1) i.R.E= ______________ (1) ii.3 Valid strings= _______________(1) iii.3 Invalid strings= _________________(1) (c) Construct a DFA which accepts all strings over Σ ={a,b} in which second last symbol is a and last symbol is b. also Write at least 2 Valid and 2 Invalid strings for the designed DFA.Each regular expression r denotes a language L(r), which is also defined recursively from the languages denoted by r ′s subexpressions. Write the language denoted by the following regular expressions:(i) a |a*b (ii) a(a | b)* (iii) (a | b)*ab (iv) a | b
- 1. Explain where local variables and dynamically allocated variables are created. Why do we need to call delete for dynamically allocated variables? 2. Give a non-recursive version of the binary search tree operations findMin, findMax This is a data structure question answer carefully and dont plagarize pleaseA palindrome is a string that reads the same forwards or backwards; for example dad, mom, deed are palindromes (i.e., reversing a palindrome produces the same string). Use C++ Programing language Write a recursive, boolean-valued function, isPalindrome that takes a string as a parameter and returns whether the string is a palindrome. A string, s, is a palindrome if: s is the empty string or s consists of a single letter (which reads the same back or forward), or the first and last characters of s are the same, and the rest of the string (i.e., the second through next-to-last characters) form a palindrome. Write a test program that reads a string from the standard input device and outputs whether the input string is a palindrome or not.For the following pairs of expressions, find a unifier for each pair if a unifier exists. If a unifierdoes not exist, explain why.(a) p(X,Y) and p(a,Z)(b) p(X,X) and p(a,b)(c) f(X,Y) and f(a,g(a))(d) q(X) and ¬q(a)