Write a program hex2dec.cpp that asks the user to enter a positive hexadecimal number (i.e., base 16: numbers with digits 0, 1...9, A, B ... F). Read the input as a C++ string object with a maximum length of 10. The program should convert the hexadecimal number to decimal (base 10). For example, if the user enters 31A9, the program should display decimal number 12713. The program will continue asking the user input until the user enters a zero (i.e., 0) number. Note & Hint: The program should validate each digit of the user input (i.e., 0 - 9, A- F). The program allows the user to enter lower case a to f (to make the algorithm simpler, convert all to upper case, use range base for loop by reference). You may use function toupper () from the library. Use unsigned long int type for the decimal number to cover a larger number range. • Conversion starts from the last digit of the hexadecimal. Use the following code to conver a digit A to F to number: char aDigit = 'C'; %3D int aNum; aNum = aDigit - 'A' + 10; // now aNum 12;

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