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# C Program to Convert Binary to Hexadecimal

In this article, we will learn how to create a program in C that can convert any given binary number entered by the user (at run-time) into its equivalent hexadecimal value. At last, we have also created a function-driven program that also converts binary numbers to hexadecimal numbers.

But before going through the program, if you are not aware of how the binary to hexadecimal conversion takes place, refer to the step-by-step process of binary to hexadecimal conversion. Now let's move on to the program.

## Binary to Hexadecimal in C

The question is, "Write a program in C that converts a binary number to hexadecimal." The answer to this question is:

#include<stdio.h> #include<conio.h> int main() { int binnum, hex=0, mul=1, count=1, rem, i=0; char hexnum[20]; printf("Enter any Binary Number: "); scanf("%d", &binnum); while(binnum!=0) { rem = binnum%10; hex = hex + (rem*mul); if(count%4==0) { if(hex<10) hexnum[i] = hex+48; else hexnum[i] = hex+55; mul = 1; hex = 0; count = 1; i++; } else { mul = mul*2; count++; } binnum = binnum/10; } if(count!=1) hexnum[i] = hex+48; if(count==1) i--; printf("\nEquivalent Hexadecimal Value = "); for(i=i; i>=0; i--) printf("%c", hexnum[i]); getch(); return 0; }

Because the above program was written in the Code::Blocks IDE, you will see the following output on your output screen after a successful build and run. This is the first snapshot of the sample run:

Now supply any binary number, say 1101110, and press the ENTER key to see its equivalent hexadecimal value, as shown in the second snapshot of the sample run given below:

Here is the final snapshot of the above program's another sample run:

#### Program Explained

- Receive any binary number from the user at run-time, say
**1101**. - Create a
**while**loop that runs until the value of the given binary number becomes 0. - That is, at the first run of the
**while**loop, the condition**binnum!=0**or**1101!=0**evaluates to true, therefore program flow goes inside the loop and**binnum%10**or**1101%10**or**1**gets initialized to**rem**, then**hex + (rem*mul)**(we initialized**hex**and**mul**with**0**and**1**at the start of the program) or**0 + (1*1)**or**1**gets initialized to**hex**. - Now we have created an
**if**block in such a way that the value of**hex**gets initialized to**hexnum[]**, a character array as hexadecimal digits, one by one, in corresponding to each 4-pair binary digit. - Therefore, at the first run of the
**while**loop, the condition of the**if**statement, which is**count%4==0**(we have initialized**count**with 1 at the start of the program) or**1%4==0**, evaluates to false, and therefore program flow goes inside the**else**block of the**if**statement, where**mul*2**or**1*2**or**2**gets initialized to**mul**, and the value of the**count**variable gets incremented and becomes 2. - At last, binnum/10 or 1101/10 or 110 gets initialized to binnum, and then the program flow goes back to the condition of the
**while**loop. - There, again, binnum!=0 or 110!=0 evaluates to true, and the program flow again goes inside the
**while**loop. - And binnum%10 or 110%10 or 0 gets initialized to rem, then
**hex + (rem*mul)**or**1 + (0*2)**or 1 gets initialized to hex. - Now the condition of the
**if**block, which is**count%4==0**or**2%4==0**evaluates to false, and the program flow goes inside the**else**block, where**mul*2**or**2*2**or**4**gets initialized to**mul**and the value of**count**gets incremented and becomes 3. - At last,
**binnum/10**or**110/10**or**11**gets initialized to**binnum**, and the program flow goes back to the condition of the**while**loop. - There, again,
**binnum!=0**or**11!=0**evaluates to true, and the program flow again goes inside the**while**loop. - And
**binnum%10**or**11%10**or**1**gets initialized to**rem**, then**hex + (rem*mul)**or**1 + (1*4)**or**5**gets initialized to**hex**. - Now the condition of the
**if**block, which is**count%4==0**or**3%4==0**, evaluates to false, and the program flow goes inside the**else**block, and**mul*2**or**4*2**or**8**gets initialized to**mul**, and the value of**count**gets incremented and becomes 4. - At last,
**binnum/10**,**11/10**, or**1**gets initialized to**binnum**, and then the program flow goes back to the condition of the**while**loop. - There, again,
**binnum!=0**or**1!=0**evaluates to true, and the program flow again goes inside the**while**loop. - And
**binnum%10**or**1%10**or**1**gets initialized to**rem**, then**hex + (rem*mul)**or**5 + (1*8)**or**13**gets initialized to**hex**. - Now that the condition of the
**if**block,**count%4==0**or**4%4==0**, evaluates to true, the program flow returns to the**if**block and because the value of**hex**(13) is greater than 10,**hex+55**or**13+55**or**68**(68 is the ASCII code for the character "C") gets set to**hexnum[i]**(we set the variable**i**to 0 at the start of the program) or**hexnum[0]**, and then 1, 0, and 1 are set to**mul**,**hex**, and**count**, respectively. And the value of**i**gets incremented and becomes 1. - At last,
**binnum/10**,**1/10**, or**0**, gets initialized to**binnum**, and the program flow goes back to the condition of the**while**loop. - There,
**binnum!=0**or**0!=0**evaluates to false, and the program flow does not go inside the loop this time, that is, the program flow exits the loop, and then the condition**count!=1**or**1!=1**evaluates to false, therefore the program flow does not go inside the**if**block. - Because the condition of the second
**if**block,**count==1**or**1==1**evaluates to true, the value of**i**gets decremented by one and becomes 0. - Now we have created the
**for**loop that runs from the current value of**i**to 0. - And print the value of each and every hexadecimal digit one by one, from the last index to the first one.
- For the numbers and characters, we used ASCII code, which is 0, 1, 2, 3,..., 7, 8, 9, A, B, C, D, E, F.
- That is, the ASCII codes for 0, 1, 2,..., 8, 9, are 48, 49, 50,..., 56, 57. In addition, the ASCII codes for A, B, C,..., E, F are 65, 66, 67,..., 69, 70.
- As a result, if the value of hex is 0, then 0+48 (the ASCII code for 0) is initialized to hexnum[; similarly, if the value of hex is 13, then 13+55 or 68 (the ASCII code for C) is initialized to hexnum[].

### Binary to Hexadecimal in C using a User-Defined Function

Here is another program using a user-defined function named BinToHex() that also does the same job, which is to convert any binary number to a hexadecimal number.

Here, we have declared the variable **i** and the character array **hexnum[]** as global to make them known in both the functions, that is, main() and
BinToHex().

#include<stdio.h> #include<conio.h> void BinToHex(int bin); int i=0; char hexnum[20]; int main() { int binnum; printf("Enter any Binary Number: "); scanf("%d", &binnum); BinToHex(binnum); printf("\nEquivalent Hexadecimal Value = "); for(i=i; i>=0; i--) printf("%c", hexnum[i]); getch(); return 0; } void BinToHex(int bin) { int hex=0, mul=1, count=1, rem; while(bin!=0) { rem = bin%10; hex = hex + (rem*mul); if(count%4==0) { if(hex<10) hexnum[i] = hex+48; else hexnum[i] = hex+55; mul = 1; hex = 0; count = 1; i++; } else { mul = mul*2; count++; } bin = bin/10; } if(count!=1) hexnum[i] = hex+48; if(count==1) i--; }

Here is the final snapshot of the above program's sample run:

#### The same program in different languages

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