Two number systems, octal (base 8) and hexadecimal (base 16), are of interest to computer scientists. In fact, in C++, you can instruct the computer to store a number in octal or hexadecimal. The digits in the octal number system are 0,1,2,3,4,5,6, and 7. The digits in hexadecimal number systems are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E, and F. So A in hexadecimal is 10 in decimal, B is 11 in decimal, and so on. The algorithm to convert a positive decimal number into an equivalent number in an octal (or hexadecimal) is the same for binary numbers. Here, we divide the decimal number by 8(for octal) and by 16(for hexadecimal). Suppose ab represents the number a to the base b. For example, 7510 means 75 to the base 10(that is decimal), and 8316 means 83 to the base 16(that is hexadecimal). Then 75310 =13618 and 75310= 2F116* Write a program that uses a recursive function to convert a number in decimal to base 8 or base 16.It is necessary that the user enters a nonnegative integer. Check if the number is nonnegative or not. It is necessary that the user enters a base 8 or 16. Check if the base is 8 or 16.
Two number systems, octal (base 8) and hexadecimal (base 16), are of interest to computer scientists. In fact, in C++, you can instruct the computer to store a number in octal or hexadecimal.
The digits in the octal number system are 0,1,2,3,4,5,6, and 7. The digits in hexadecimal number systems are 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E, and F. So A in hexadecimal is 10 in decimal, B is 11 in decimal, and so on.
The
Then 75310 =13618 and 75310= 2F116*
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