For this homework you are to write a C++ program with 2 functions: unsigned numberFromDigits(string digits, unsigned base); This function may awc(assume without checking) that base is in[2, 16], that every char in digits iw a valid digit in the given base(e. g.one of 0123456789ABC in base 13), and that the number being represented is small enough to fit in an unsigned. numberFromDigits does no i / o(input / output).Its job is to return the number that the digits represent in the given base. For example, numberFromDigits("413", 5) should return the number 108. string digitsFromNumber(unsigned number, unsigned base); This function may awc that base is in[2, 16]. digitsFromNumber does no i / o(input / output).Its job is to create and return a string that shows the digits used to represent the number in the given base. For example, digitsFromNumber(108, 5) should return the string "413". Write a main that calls both these functions. You decide the details of your main