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Binary to Decimal Conversion in C Language

In this section we discuss about Binary to Decimal conversion. A Binary number should we converted as following method :

Suppose we take a binary (1101)₂

then we need to find place value of each digits and add them, the addition of place value  is equal to the decimal equivalent of binary.

finding place value :

addition = 8 + 4 + 0 + 1 = 13

So (13)_10­ is the decimal equivalent of binary (1101)₂

Method to convert binary to decimal

• Take a binary number as the input in variable bin.
• Divide the number by 10 and store the remainder into variable "r".
• dec = dec + r ´ b;
  Initially, the "dec" is 0, and the "b" is 1, where the "r" variable stores the remainder of the number.
• Divide the quotient of the original number by 10.
• Multiply the "b" by 2.
• Print the decimal of the binary number.

Note : variable dec for decimal number, b for base, r for reminder and "bin" for binary.

Souce Code :

#include <stdio.h>
#include <conio.h>
void main()
{
clrscr();
int n, bin, dec=0, b=1, r;
printf ("Enter a binary number \n");
scanf ("%d", &n);
bin = n;
while ( n > 0)
            {
            r = n % 10;
            dec = dec + r * b;
            n = n / 10;
            b = b * 2;
            }
printf("The Decimal equivalent of %d = %d", bin, dec);
getch( );
}