Binary to Decimal in C++

This is a C++ Program to Convert a Given Binary Number to its Decimal Equivalent.

Problem Description

The program converts a binary number to its decimal equivalent.

Problem Solution

1. The program takes a binary number.
2. Using a while loop, the remainders of the number are multiplied with powers of 2.
3. The decimal equivalent that is the result is printed.
4. Exit.

C++ Program/Source code

Here is the source code of C++ Program to Convert a Given Binary Number to its Decimal Equivalent. The program output is shown below.

```
#include<iostream>
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using namespace std;
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int main ()
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{
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    int num, rem, temp, dec = 0, b = 1;
```

    cout << "Enter the binary number : ";

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    cin >> num;
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    temp = num;
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    while (num > 0)
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    {
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        rem = temp % 10;
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        dec = dec + rem * b;
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        b *= 2;
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        temp /= 10;
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    }
```

    cout << "The decimal equivalent of " << num << " is " << dec;

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    return 0;
```
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}
```

Program Explanation

1. The user is asked to enter a binary number and it is stored in the variable ‘num’.
2. The variable ‘b’ is initialized as 1 and ‘dec’ as 0. num is copied to the variable ‘temp’.
3. Using a while loop, modulus of temp is stored in ‘rem’.
4. rem is multiplied with b and added to dec.
5. In every iteration, b is multiplied with 2.
6. The loop continues till temp is less than 0.
7. The decimal equivalent is stored in dec and printed.

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Runtime Test Cases

Case 1 :
Enter the binary number : 10
The decimal equivalent of 10 is 2
 
Case 2 :
Enter the binary number : 01010101
The decimal equivalent of 1010101 is 85
 
Case 3 :
Enter the binary number : 1111
The decimal equivalent of 1111 is 15

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