Decimal to Binary Conversion

The binary number consists of 0's and 1's such number system has only two distinct digits {0,1} is called base-2 number system or radix-2 number system. and The decimal number system consist of 0's to 9's has 10 distinct digits {0,1,2,3,4,5,6,7,8,9} is called base-10 number system or radix-10 number system.

The decimal to binary conversion or base-2 number to base-10 number conversion is carried out by c programming code. The decimal number is to convert is read from user during the program execution.

Decimal to Binary Conversion - Example

 
    Example decimal value =23
    converts it into equivalent binary bits =?
             
    The decimal-value divide by 2 returns a quotient and a reminder, 
            in which the quotient turns decimal-value to next round.                

     This process repeated until quotient becomes 0 or 1.
            
 
                
round
 
Decimal
 
 divider 
 
 quotient 
 
 reminder 
 
  
                
 1 
 23 
  
 2 
  
 11 
 
 1 
 
                
 2 
 11 
  
 2 
  
 5 
 
 1 
 
                
 3 
 
 5 
   
 2 
  
 2 
 
 1 
 
                
 4 
 
 2 
   
 2 
  
 1 
 
 0 
 
            
  

   The result of binary bits collected from quotient and reminders. 

       binary bits = final quotient bit + reminders bits

   The final round quotient=1 is added otherwise not and successive  
        bits is collected from the reminder by bottom to top.   
                     
        binary bits  = 10111
 

Decimal to binary conversion -algorithm

Declaration
Input	Read integer decval
Output	char bits
Loop	decval not equal zero
	reminder = decval module by 2
	append reminder into bits
	decval = decval divide by 2
	n=n+1
End Loop
Output	print, reverse(bits)

Decimal to Binary - C programming code

The C program code converts given decimal number into binary bits. The conversion carried out using arithmetic operation like modulus and division operation.

 

#include <stdio.h>
#include <string.h>

int main() {
  
 int decval=0; int reminder=0;
 int n=0,k=0,ntmp=0; 
 int bits[8];
 
 printf ("\n Decimal to Binary Conversion \n");
 printf ("\n Enter Decimal value : ");
 scanf("%d",&decval);
 
 while (decval !=1 && decval !=0) 
 {     
      reminder= decval %2;
      decval  = decval /2;       
      bits[n++] = reminder;
     
 }
 
 if ( decval==1 )
    bits[n++] = decval;
        
 printf ("\n Binary bits : "); 
 ntmp=n;
 for( k=0; k<ntmp; k++) {
    n--; 
    printf("%d",bits[n]);    
 }
    
 return 0;
}

Output

 
  Decimal to Binary conversion
     Enter Decimal value : 10

     Binary bits : 1010

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• Hexadecimal to Binary number system conversion
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Download source code

• decimal to binary