llowing function on the axes provided. f(x)={(-2 for x<=-4),(2x+1 for x>0):}
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llowing function on the axes provided. f(x)={(-2 for x<=-4),(2x+1 for x>0):}
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- The compass gradient operators of size 3x3 are designed to measure gradients of edges oriented in eight directions: E, NE, N, NW, W, SW, S, and SE. i) Give the form of these eight operators using coefficients valued 0, 1 or – 1. ii) Specify the gradient vector direction of each mask, keeping in mind that the gradient direction is orthogonal to the edge direction.5. Simplify the following functions using a K-map: f)F(X,Y,Z)=(22÷7)(0,2,5,7)Q1: Simplify the following function using a Karnaugh map F2(X, Y, Z) = E(3,5,6,7).
- 1. F(a,,b,c,d)=sum m (1,3,4,6,7,9,12)1. a) Detemine the function from the K-maps below: AB Ав АВ AB 1 1 1 Y1 b) Detemine the simplest form of the function: F(A, B, C, D) = Em(0, 1, 2, 5, 7, 8, 9, 10, 13, 15)c) Karnaugh map (K-map) is a minimization technique used in minimizing logic expressions. It is simpler and less error-prone as compared to the Boolean algebra method of minimizing logical expressions. Minimize the function with its don't- care conditions below using K-map F(A,B,C) = m(1, 3, 7, 11, 15) +D(0,2,5)
- 5. Simplify the following functions using a K-map:(a) F(X,Y)¼m2+ m3INTRODUCTION: Heat conduction from a cylindrical solid wall of a pipe can be determined by the follow T1-T2 q = 2nLk R2 In R. where: q is the computed heat conduction in Watts. k is the thermal conductivity of the pipe material in Watts/°C/m. L is the length of the pipe in cm. Ri is the inner radius of the pipe in cm. R2 is the outer radius of the pipe in cm. Ti is the internal temperature in °C. T2 is the external temperature in °C. ASSIGNMENT: Write a C program that will allow the user to enter the inner and outer radii of the pipe, the the internal and external temperatures. Once the user enters the input values, the programGiven A = {1,2,3} and B={u,v}, determine. a. A X B b. B X B
- Explain the following function • hypot( ) • pow( ) • abs( )Quadratic Root Solver For a general quadratic equation y = ax? + bx + c, the roots can be classified into three categories depending upon the value of the discriminant which is given by b2 - 4ac First, if the discriminant is equal to 0, there is only one real root. Then, if the discriminant is a positive value, there are two roots which are real and unequal. The roots can be computed as follows: -b+ Vb? – 4ac 2a Further, if the discriminant is a negative value, then there are two imaginary roots. In this case, the roots are given by b ь? - 4ас 2a 2a Programming tasks: A text file, coeff.txt has the following information: coeff.txt 3 4 4 4 1 4 Each line represents the values of a, b and c, for a quadratic equation. Write a program that read these coefficient values, calculate the roots of each quadratic equation, and display the results. Your program should perform the following tasks: • Check if the file is successfully opened before reading • Use loop to read the file from main…Implémenter la fonction booléenne suivante F= xy’ + x’y’ +yz a) En utilisant les portes ET, OU et des portes inverseur (NON) b) En utilisant les portes OU et des portes inverseur (NON) c) En utilisant les portes ET et des portes inverseur (NON) English: Implement the following Boolean function F= xy' + x'y' +yz a) Using AND, OR and inverter (NOT) gates b) Using OR gates and inverter gates (NOT) c) Using AND gates and inverter gates (NOT)