The formula of Binary to Decimal is:
Decimal Number = (nth digit of binary number) * 2(n-1)
+ ((n-1)th digit of binary number) * 2(n-2) + …… + (1st
digit of binary number) * 2(0)
Suppose 1101 is the binary number. Then the decimal number
will be:
Decimal Number = (1 * 23 + 1 * 22 + 0
* 21 + 1* 20) = (8 + 4 + 0 + 1) = 13
Here is the C program
to convert Binary Number into Decimal Number:
#include <stdio.h> #include <math.h> int main() { int binary, decimal = 0, i, j=0; printf("Enter a binary number: "); scanf("%d",&binary); int temp; temp = binary; if(temp>0){ i = temp % 10; if(i==0 || i==1){ while(temp!=0){ i = temp % 10; decimal = decimal + i * pow(2, j); temp = temp / 10; j++; } } } if(decimal==0 || binary<0) printf("The number is not a binary number !"); else printf("The equivalent decimal number of %d is : %d.",binary,decimal); return 0; }
NB: Here pow(x,y) is a function that comes with header file math.h. It returns x to the power y.
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C++ program to convert decimal to binary
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