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1. Question : Simplify the following functions using Boolean algebra rules:
F1 = a.b+c’+c(a’+b’)
F2 = (x.y’+z)(x+y’)z
2. Question :
Convert the following function to POS standard form
F3 = (? + ?) (?̅+ ? + ?)
• Convert the following function to SOP standard form
F4 = (? + ?) (?̅+ ? + ?)
3. Question : • Use K-maps to minimize the following functions
F5 = a’b’d+a’bc’d+a’bcd
F6 = ∑(0,2,5, 9,10 11,12,13)
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- (Numerical) Heron’s formula for the area, A, of a triangle with sides of length a, b, and c is A=s(sa)(sb)(sc) where s=(a+b+c)2 Write, test, and execute a function that accepts the values of a, b, and c as parameters from a calling function, and then calculates the values of sand[s(sa)(sb)(sc)]. If this quantity is positive, the function calculates A. If the quantity is negative, a, b, and c do not form a triangle, and the function should set A=1. The value of A should be returned by the function.Write a function that takes 4 integers (num1,den1,num2,den2) as parameters which represent the rational numbers num1/den1, num2/den2 and returns the addition of these two fractions. A/B + C/D = AD +BC/BD • den1, den2 can not be zero. • use simplify function.Please help me with my homework, in computer programming as follows: A number, a is a power of b if it is divisible by b and a/b is a power of b. Write a function called is_power that takes parameters a and b and returns True if a is a power of b. Note: you will have to think of the base case.
- Definition of the function threeTime() that recives an integer value and returns three times that value. C++17. A function should determine the average of x and y. What should be the function's parameters and return value(s)? A.Parameters: none Return values: X,y B.Parameters: ×, y, average Return value: none C.Parameters: average Return values; X, y D.Parameters: X, y Return value: averageWrite a C++ function: int cube(int ); This function takes an Integer parameter and return the cube of that number.
- Please provide solution in C++: Write a function MaxMagnitude with two input parameters, that returns the largest-magnitude value. If the inputs are 5 7, the function returns 7. If the inputs are -8 -2, the function returns -8. (Note: The function does not just return the largest value, which for -8 -2 would be -2). Though not necessary, you may use the absolute-value built-in math function. Use the function in a program that takes two integer inputs, and outputs the largest-magnitude value. #include <iostream>using namespace std; int main() { //int MaxMagnitude; int userVal1; int userVal2; { if(abs(userVal1)>abs(userVal2)) return userVal1; else return userVal2; }1-The function sum_n_avg computes the sum and the average of three input arguments and relays its results through two output parameters.a)Write a prototype for a function sum_n_avg that accepts three double-type input parameters and returns two output parameters through reference.b)Write the function definition for function sum_n_avg. The function definition is where the actual computations are performed.c)Write a function call in main () for sum_n_avg. The function call can look like below:{double one, two, three, sum_of_3, avg_of_3;printf("Enter three numbers> ");scanf("%lf%lf%lf", &one, &two, &three);sum_n_avg(__________________________________);. . .}2- Write a function definition for a function named final_grade that has a typeint input parameter called points and returns through an output parameter gradePtr the appropriate letter grade using a straight scale (90–100 is an A, 80–89 is a B, and so on). Return through a second output parameter (missedPtr) an…Write a function that takes 3 integers (num,den,power) as parameters which represent the rational number num/den and its power and returns the difference of these two fractions. (A/B) to the power of n = A to the power of n/B to the power of n • den can not be zero. • use simplify function.
- write a c++ function called exchange() the functions receives two integer variables x and y the function should exchange the values of x and y hint :use pointerAssume that the declarations for two functions look as follows: int Function1(double x); 2.void Function2(double x); Give some sample code that would show how each function could be used.In C++, m%n is the remainder when the integer m is divided by the integer n. We can define a function to test whether an integer is even as follows: bool even(int k) { if ( k % 2 == 1 ) return false; else return true;} Translate this function into a standard mathematical function specification.
