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Program for Binary To Decimal Conversion in C++
Given with a binary number as an input, the task is to convert the given binary number into a decimal number.
Decimal number in computers is represented with base 10 and binary number is represented with base 2 as it has only two binary digits 0 and 1 whereas decimal numbers can be any numeric digit starting from 0 – 9.
To convert a binary number into a decimal number we will extract digits starting from right to left through a remainder and then multiply it with the power of 2 starting from 0 and will be increased by 1 till the (number of digits) – 1 and with that keep adding the multiplied values to obtain final decimal value.
Given below is the pictorial representation of converting a binary number into a decimal number.
Example
Input-: 1010 0 will be converted to a decimal number by -: 0 X 2^0 = 0 1 have corresponding binary equivalent of 3 digit -: 1 X 2^1 = 2 0 have corresponding binary equivalent of 3 digit -: 0 X 2^2 = 0 1 have corresponding binary equivalent of 3 digit -: 1 X 2^3 = 8 Output-: total = 0 + 2 + 0 + 8 = 10
Algorithm
Start Step1-> Declare function to convert binary to decimal int convert(string str) set string n = str set int val = 0 set int temp = 1 set int len = n.length() Loop For int i = len - 1 i >= 0 i— IF n[i] == '1' Set val += temp End Set temp = temp * 2 End return val Step 2-> In main() Set string val = "11101" Call convert(val) Stop
Example
#include <iostream>
#include <string>
using namespace std;
//convert binary to decimal
int convert(string str) {
string n = str;
int val = 0;
int temp = 1;
int len = n.length();
for (int i = len - 1; i >= 0; i--) {
if (n[i] == '1')
val += temp;
temp = temp * 2;
}
return val;
}
int main() {
string val = "11101";
cout<<val<<" after converion into deciaml : "<<convert(val);
}Output
IF WE RUN THE ABOVE CODE IT WILL GENERATE FOLLOWING OUTPUT
11101 after converion into deciaml : 29
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