(Numerical analysis) a. The following is an approximate conversion formula for converting Fahrenheit to Celsius temperatures: Celsius=(Fahrenheit30)/2 Using this formula, and starting with a Fahrenheit temperature of 0 degrees, write a C++ program that determines when the approximate equivalent Celsius temperature differs from the exact equivalent value by more than 4 degrees. (Hint: Use a while loop that terminates when the difference between approximate and exact Celsius equivalents exceeds 4 degrees.) b. Using the approximate Celsius conversion formula given in Exercise 8a, write a C++ program that produces a table of Fahrenheit temperatures, exact Celsius equivalent temperatures, approximate Celsius equivalent temperatures, and the difference between the exact and approximate equivalent Celsius values. The table should begin at 0 degrees Fahrenheit, use 2-degree Fahrenheit increments, and terminate when the difference between exact and approximate values is more than 4 degrees.

Basic while loop expression.   Write a while loop that prints userNum divided by 4 (integer division) until reaching 2 or less. Follow each number by a space. Example output for userNum = 160:40 10 2 Note: These activities may test code with different test values. This activity will perform four tests, with userNum = 160, then with userNum = 8, then with userNum = 0, then with userNum = -1. See "How to Use zyBooks".Also note: If the submitted code has an infinite loop, the system will stop running the code after a few seconds, and report "Program end never reached." The system doesn't print the test case that caused the reported message.

Problem E: Dice Game Looped Write a program that allows two users to play the dice game in Problem D 10 times. At the conclusion of the game, print out how many times player 1 won, how many times player 2 won, and how many times both players tied. In python code