Algorithm

Algorithm to Convert Binary to Decimal:

1. Start
2. Read the binary number as input.
3. Initialize decimal_number to 0 and power to 0.
4. Repeat the following steps until all digits are processed:
   a. Extract the rightmost digit of the binary number.
   b. Multiply the extracted digit by 2^power.
   c. Add the result to decimal_number.
   d. Divide the binary number by 10.
   e. Increment power by 1.
5. Display the decimal_number as the result.
6. End

Algorithm to Convert Decimal to Binary:

1. Start
2. Read the decimal number as input.
3. Initialize binary_number to 0 and place_value to 1.
4. Repeat the following steps until the decimal number is greater than 0:
   a. Find the remainder when the decimal number is divided by 2.
   b. Multiply the remainder by place_value.
   c. Add the result to binary_number.
   d. Divide the decimal number by 2.
   e. Multiply place_value by 10.
5. Display the binary_number as the result.
6. End

Code Examples

#1 Code Example- C++ Programing to Convert Binary Number to Decimal

Code - C++ Programming

// convert binary to decimal

#include <iostream>
#include <cmath>

using namespace std;

// function prototype
int convert(long long);

int main() {
  long long n;
  cout << "Enter a binary number: ";
  cin >> n;
  cout << n << " in binary = " << convert(n) << " in decimal";
  return 0;
}

// function definition
int convert(long long n) {
  int dec = 0, i = 0, rem;

  while (n!=0) {
    rem = n % 10;
    n /= 10;
    dec += rem * pow(2, i);
    ++i;
  }

  return dec;
}
Copy The Code & Try With Live Editor

Output

x
–
+
cmd
Enter a binary number: 1101
1101 in binary = 13 in decimal

#2 Code Example- C++ Programing to convert decimal number to binary

Code - C++ Programming

// convert decimal to binary

#include <iostream>
#include <cmath>
using namespace std;

long long convert(int);

int main() {
  int n, bin;
  cout << "Enter a decimal number: ";
  cin >> n;
  bin = convert(n);
  cout << n << " in decimal = " << bin << " in binary" << endl ;
  return 0;
}

long long convert(int n) {
  long long bin = 0;
  int rem, i = 1;

  while (n!=0) {
    rem = n % 2;
    n /= 2;
    bin += rem * i;
    i *= 10;
  }

  return bin;
}
Copy The Code & Try With Live Editor

Output

x
–
+
cmd
Enter a decimal number: 13
13 in decimal = 1101 in binary
Advertisements

Demonstration

C++ Programing Example to Convert Binary Number to Decimal and vice-versa-DevsEnv