Assume x=5, y=2, and z=3. Evaluate the value of each of the following Boolean expressions (show details). a) [(x > 5) NAND (y < 5)] NOR ( y ≤ z) b) (x+y ≥ z ) XOR [( x>6) OR (z ≤ 5)] c) [NOT( z >5) ] AND [(z=7) XOR (y<2)]
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Assume x=5, y=2, and z=3. Evaluate the value of each of the following Boolean expressions (show details). a) [(x > 5) NAND (y < 5)] NOR ( y ≤ z) b) (x+y ≥ z ) XOR [( x>6) OR (z ≤ 5)] c) [NOT( z >5) ] AND [(z=7) XOR (y<2)]
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- GIVEN: E -> E – T | T T -> T+F | T*F | T/F | F F -> (E) | Int QUESTION : State the associativity of 4 operators??9. a) Draw a DFA of strings where the 2nd last symbol is a. Σ= {a,b} Or, b) Draw a DFA of strings where the 3rd last symbol is 1. Σ= {0,1} [You may draw the NFA for this problem if you find it difficult to solve using DFA]Computer Science This is an introductory exercise to the manipulation of random variables with Python as a language for scientific computing and numerical computation. You have: f(x) = Ae-0.1x)° 4 x*, 0: Given a boolean expression consisting of the symbols 0 (false), 1 (true), & (AND), I (OR), and / (XOR), and a desired boolean result value result, create a function that counts the number of ways the expression may be parenthesized such that it evaluates to result. The expression should be completely parenthesized (for example, (0) A(1)) but not excessively (for example, (((0)) / (1))).EXAMPLE \scountEval("l/01011", false) yields 2 counts."0&0&0&1All0", true) = 10Modified coin-row problem:If we modified the coin-row problem, so that you cannot take the adjacent coin, and youcannot take the coin next to the adjacent coin also (see example below), what would thedynamic programming formula F(n) be?Example: A, B, C, D, E, F, G, H, I, JIf A is taken, then B & C cannot be taken, but D (or above D, like E and so on) can be taken.If B is taken, then A, C, D cannot be taken.And so on.1. Suppose you have to unify the following two expressions: • R(u, T(z, Z), z, T(Q{B), z)) • R(T(Q(B), z), x, Q(B), u) Calculate the most general unifier.C Program: An integer number is said to be a perfect number if its factors, including 1 (but not the number itself), sum to the number. For example, 6 is a perfect number because 6 = 1 + 2 + 3. I have written a function called isPerfect (see below), that determines whether parameter passed to the function is a perfect number. Use this function in a C program that determines and prints all the perfect numbers between 1 and 1000. Print the factors of each perfect number to confirm that the number is indeed perfect. // isPerfect returns true if value is perfect integer, // i.e., if value is equal to sum of its factors int isPerfect(int value) { int factorSum = 1; // current sum of factors // loop through possible factor values for (int i = 2; i <= value / 2; ++i) { // if i is factor if (value % i == 0) { factorSum += i; // add to sum } } // return true if value is equal to sum of factors if (factorSum == value) { return…4- The function F(A,B,C,D) = A can be represented as: a) F=1 b) F=0 c) F= AB + AC + AD d) F=E(8,9,10,11,12,13,14,15)10. Draw a DFA of strings where the 2nd last symbol is a. Σ= {a,b} [You may draw the NFA for this problem if you find it difficult to solve using DFA] Or, Draw a DFA of strings where the 3rd last symbol is 1. = {0,1} [You may draw the NFA for this problem if you find it difficult to solve using DFA][Unbalanced Rod] Given a set of n weights {w₁,..., wn} and a rod of length n - 1 inches, we can attach the weights to the rod at hooks placed at one inch distances apart as shown in the figure below. -1". /10 2 3 12 2 4 We can attach a weight to any hook but no two weights can be attached to the same hook and we have to attach all the weights. For any given assignment of weights to hooks, we can compute the location of the center of mass of the rod and the weights according to the following equation (neglecting the weights of the rod and the hooks). where 0 ≤ Pi≤n-1 is the position of weight along the rod. For example, in the figure shown above, the center of mass is computed as C= C = i Wi Pi Σi Wi 10 0+2 1+3·2+4·3+12.4 +2.5 10+2+3+4+12+2 78 33 The problem is to find an assignment of weights to hooks that makes the center of mass as far as possible to the left, i.e., minimize the value of c. Answer the following questions. 1. Describe a greedy algorithm that finds the assignments that…The great circle distance is the distance between two points on the surface of a sphere. Let (x1, y1) and (x2, y2) be the geographical latitude and longitude of two points. The great circle distance between the two points can be computed using the following formula: d = radius * arccos(sin(x 1) * sin(x 2) + cos(x 1) * cos(x 2) * cos(y1 - y2)) Write a program that prompts the user to enter the latitude and longitude of two points on the earth in degrees and displays its great circle distance. The average earth radius is 6,371.01 km. Note that you need to convert the degrees into radians using the math.radians function since the Python trigonometric functions use radians. The latitude and longitude degrees in the formula are for north and west. Use negative to indicate south and east degrees.Programming Language :- C 7. A function is defined for a positive integer n as follows: 3n + 1, if n is odd f(n) = { n if n is even 2 We consider the repeated application of the function starting with a given integer n, as follows: f(n), f(f(n)), f(f(f(n))), It is conjectured that no matter which positive integer n you start from; this sequence eventually will reach to 1. If n = 13, the sequence will be 13, 40, 20, 10, 5, 16, 8, 4, 2, 1. Thus if you start from n = 13, you need to apply function 10 times to reach 1. Write a recursive function that takes n as an input number and returns how many times function f has to be applied repeatedly to reach 1.SEE MORE QUESTIONS