raw logic diagrams. implement the simplified expressions in Exercise 3.
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Also draw logic diagrams. implement the simplified expressions in Exercise 3.
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- If L1={w∈{a,b}* | w starts with a} and L2={w∈{a,b}* | |w|≤ 3} then | L1 ∩ L2 | = a) 15 b) infinity c) 7 d) 12 e) 8 f) 4Let A = {a, b, c}, B = {x, y}, and C = {0, 1}.If S = { x | 0 ≤ x ≤ 10}, A = { x | 1 ≤ x ≤ 5}, B = { x | 1 ≤ x ≤ 6}, and C = { x | 2 ≤ x ≤ 7}(a) S ⋃ C(b) A ⋃ B(d) A’ ⋂ C(c) A’⋃ (B ⋂ C)(e) (A ⋂ B) ⋃ (B ⋂ C) ⋃ (C ⋂ A)
- Rahul is a maths genius so he came up with a game and as raj is Rahul's best friend so Rahul decided to play the game with raj. Rahul gives raj two numbers LL and RR and asks raj to find the count of numbers in the range from LL to RR (LL and RR inclusive) which are a digit palindromic. A number is a digit palindromic if its first digit is the same as its last digit. As raj is not very good at maths so your task is to help Raj find out how many numbers are a digit palindromic in the range LL to RR. For example if LL = 88 and RR = 2525 .The following numbers are a digit palindromic in the range of LL to RR: 8, 9, 11, and 22. If LL = 12511251 and RR = 12661266. The digit palindromic numbers are 1251 and 1261. Input format The first line contains an integer denoting the number of test cases. Each test case is described by a single line that contains two integers LL and RR. Output format For each test case output, an integer denoting how many a digit palindromic numbers are there in the…Given a set of cities, the central point is the city that has the shortest total distance to all other cities. Write a program that prompts the user to enter the number of cities and the locations of the cities (coordinates), and finds the central city and its total distance to all other cities. Assume that the maximum number of cities is 20. Enter the number of cities: 5 Enter the coordinates of the cities: 2.5 5 5.1 3 1 9 5.4 54 5.5 2.1 The central city is at (2.5, 5.0) The total distance to all other cities is 60.81Computer Science Write a Java program that reads a line and a line segment and then determines whether they intersect or not. When they overlap completely, consider that as intersecting. Use variables ((lp1x, lp1y), (lp2x, lp2y)) to represent a line and ((sp1x, sp1y), (sp2x, sp2y)) to represent a line segment
- Give English language translations of the following wffs where L(x, y) is “x loves y”, H(x) is “x ishandsome”, M(x) is “x is a man”, P(x) is “x is pretty”, W(x) is “x is a woman”, k is “Kathy”, andj is “John”.(a) (∀x)(W(x) → (∀y)[L(x, y) → M(y) ∧ H(y)])(b) (∃x)[M(x) ∧ H(x) ∧ L(x, k)](c) (∃x)(W(x) ∧ P(x) ∧ (∀y)[L(x, y) → H(y) ∧ M(y)]) (d) (∀x)[W(x) ∧ P(x) → L(j, x)]Format.cpp)c++ Write a program that gets two real valuesfrom the user, prints their sum and product in scientificnotation, and prints their sum and product in fixed pointnotation. Print answers to three decimal placesWrite a program that inputs a number and checks whether it is a perfect number or not. A perfect number is the number that is numerically equal to the sum of its divisors. For example, 6 is a perfect number because the divisors of 6 are 1, 2, 3 and 1+2+3=6
- Write a program to calculate the surface area and volume of a square pyramid. A square pyramid has a base that is square and all triangle faces are congruent isosceles triangles. (An isosceles triangle is a triangle in which two of the sides are equal. Length of the base: a Height of the pyramid: h Volume = a2h/3 Slant height, s = sqrt(h2 + (a/2)2) This is the Pythagorean Theorem part. Area of one pyramid side = s*a/2 Test Case #1 Height(h): 5.0’ Base(a): 2.5’A geometric sequence is a sequence of numbers where each term after the first isfound by multiplying the previous one by a fixed, non -zero number calledthe common ratio. For example, the sequences2, 6, 18, ....3,15,75, ….are a geometric sequences with common ratios 3 and 5 respectively. A geometricsequence is generally characterized by three numbers, the first term ‘a’, thecommon ratio ‘r’ and the number of terms ‘n’. A geometric series is the sum ofnumbers in a geometric sequence. 2+6+18 and 3+15+75 are examples of geometricseries with three terms each.The nth term of a geometric series with initial value ‘a’ and common ratio ‘r’ isgiven by: ?? = ???-1. While the sum of a geometric series is given by:?(1 - ??)1 - ?Create a class GeometricSeries to model a Geometric series. Using friend function,overload the ‘~’ operator to find the nth term of the series. Likewise, overload the‘!’ operator (using a friend function) to find the sum of a Geometric series.Provide a function display() in…In city street grids, intersections are often defined by two integers, counting the position of horizontal and vertical streets (sometimes called streets and avenues). Imagine traveling from position (h1, v1) to (h2, v2). How many blocks do you traverse?