binary to hexadecimal Algorithm
The binary to hexadecimal algorithm is a widely-used method for converting binary numbers, which are represented in base-2, into their corresponding hexadecimal numbers, which are represented in base-16. This conversion plays a crucial role in various digital systems and computer programming languages, as it enables the efficient representation of binary data in a more compact and human-readable form. The hexadecimal system, consisting of 16 distinct symbols (0-9 for representing the values 0 to 9 and A-F for representing the values 10 to 15), provides an elegant way to express binary numbers as it takes only one hexadecimal digit to represent four binary digits.
The algorithm for binary to hexadecimal conversion primarily involves grouping the binary digits in sets of four, starting from the least significant bit (LSB), and then replacing each group with its corresponding hexadecimal value. If the binary number has less than four digits, leading zeros can be added to complete the group. Once the binary digits have been grouped, each group is then replaced with its equivalent hexadecimal symbol by simply following the standard conversion table (e.g., 0000 = 0, 0001 = 1, 0010 = 2, ..., 1111 = F). The final result is obtained by concatenating the hexadecimal symbols in the order of their respective binary groups. This process facilitates easy conversion between the two numbering systems and is widely employed in various computing applications, ranging from data encoding and storage to debugging and assembly language programming.
/*
* C Program to Convert Binary to Hexadecimal
*/
#include <stdio.h>
int main()
{
long int binary, hexa = 0, i = 1, remainder;
printf("Enter the binary number: ");
scanf("%ld", &binary);
while (binary != 0)
{
remainder = binary % 10;
hexa = hexa + remainder * i;
i = i * 2;
binary = binary / 10;
}
printf("THe Equivalent hexadecimal value: %lX", hexa);
return 0;
}
