Saturday 29 August 2015

C code for binary to decimal conversion

C code for binary to decimal conversion:


#include<stdio.h>
int main(){
   
    long int binaryNumber,decimalNumber=0,j=1,remainder;
    printf("Enter any number any binary number: ");
    scanf("%ld",&binaryNumber);
    while(binaryNumber!=0){
         remainder=binaryNumber%10;
        decimalNumber=decimalNumber+remainder*j;
        j=j*2;
        binaryNumber=binaryNumber/10;
    }
    printf("Equivalent decimal value: %ld",decimalNumber);
    return 0;
}
Sample output:
Enter any number any binary number: 1101
Equivalent decimal value: 13


Algorithm:

Binary number system: It is base 2 number system which uses the digits from 0 and 1.
Decimal number system:
It is base 10 number system which uses the digits from 0 to 9

Convert from binary to decimal algorithm:



For this we multiply each digit separately from right side by 1, 2, 4, 8, 16 … respectively then add them.



Binary number to decimal conversion with example:
For example we want to convert binary number 101111 to decimal:
Step1:  1 * 1 = 1
Step2:  1 * 2 = 2
Step3:  1 * 4 = 4
Step4:  1 * 8 = 8
Step5:  0 * 16 = 0
Step6:  1 * 32 = 32
Its decimal value: 1 + 2 + 4+ 8+ 0+ 32 = 47
That is (101111)2 = (47)10

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