Binary to Decimal Conversion in C Language

 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 :

1	1	0	1
1 X 23=8	1 X 22=4	0 X 21=0	1 X 20=1

addition = 8 + 4 + 0 + 1 = 13

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

Method to convert binary to decimal

Ø Take a binary number as the input in variable bin.

Ø Divide the number by 10 and store the remainder into variable "r".

Ø dec = dec + r ´ b;
Initially, the "dec" is 0, and the "b" is 1, where the "r" variable stores the remainder of the number.

Ø Divide the quotient of the original number by 10.

Ø Multiply the "b" by 2.

Ø Print the decimal of the binary number.

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

Source 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( );

}

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