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
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
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