Here is a C++ program to convert hexadecimal to decimal number. In this C++ programs we will learn about fundamentals of decimal and hexadecimal number system, how to convert decimal numbers to hexadecimal numbers and vice-versa. Given a decimal number we have to convert it to hexadecimal number.
Decimal number system is a base 10 number system using digits 0 and 9 whereas Hexadecimal number system is base 16 number system and using digits from 0 to 9 and A to F.
For Example:2016 in Decimal is equivalent to 7E0 in Hexadecimal number system.
C++ program to convert decimal number to hexadecimal number
#include <iostream>
#include <cstring>
using namespace std;
#define BASE_16 16
int main() {
char hexDigits[] = "0123456789ABCDEF";
long decimal;
char hexadecimal[40];
int index, remaindar;
// Take a Decimal Number as input form user
cout << "Enter a Decimal Number\n";
cin >> decimal;
index = 0;
// Convert Decimal Number to Hexadecimal Numbers
while(decimal != 0) {
remaindar = decimal % BASE_16;
hexadecimal[index] = hexDigits[remaindar];
decimal /= BASE_16;
index++;
}
hexadecimal[index] = '\0';
strrev(hexadecimal);
cout << "Hexadecimal Number : " << hexadecimal;
return 0;
}
Output
Enter a Decimal Number 753 Hexadecimal Number : 2F1
Enter a Decimal Number 101 Hexadecimal Number : 3F2
In above program, we first declare a string hexDigits containing all digits of hexadecimal number system(0-9 and A-F). As hexadecimal numbers contains alphabets as digits, we have to use a character array to store hexadecimal numbers.
C++ program to convert hexadecimal number to decimal number
#include <iostream>
#include <cstring>
#include <cmath>
using namespace std;
int main() {
long long decimalNumber=0;
char hexDigits[16] = {'0', '1', '2', '3', '4', '5', '6', '7', '8',
'9', 'A', 'B', 'C', 'D', 'E', 'F'};
char hexadecimal[30];
int i, j, power=0, digit;
cout << "Enter a Hexadecimal Number\n";
cin >> hexadecimal;
// Converting hexadecimal number to decimal number
for(i=strlen(hexadecimal)-1; i >= 0; i--) {
// search currect character in hexDigits array
for(j=0; j<16; j++){
if(hexadecimal[i] == hexDigits[j]){
decimalNumber += j*pow(16, power);
}
}
power++;
}
cout <<"Decimal Number : " << decimalNumber;
return 0;
}
Output
Enter a Hexadecimal Number 2F1 Decimal Number : 753
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