Tutorialspoint
Problem
Solution
Submissions
Back

Convert a Decimal Number to Binary

Certification: Basic Level Accuracy: 82.86% Submissions: 35 Points: 5

Write a Python program that converts a decimal number to its binary representation.

Example 1
    

  • Input: number = 10
    • 

  • Output: "1010"
    • 

  • Explanation: 
      

    • Step 1: Divide 10 by 2, get quotient 5 and remainder 0.
      • 

    • Step 2: Divide 5 by 2, get quotient 2 and remainder 1.
      • 

    • Step 3: Divide 2 by 2, get quotient 1 and remainder 0.
      • 

    • Step 4: Divide 1 by 2, get quotient 0 and remainder 1.
      • 

    • Step 5: Reading the remainders from bottom to top gives us "1010".
      • 

    •
Example 2
    

  • Input: number = 33
    • 

  • Output: "100001"
    • 

  • Explanation: 
      

    • Step 1: Divide 33 by 2, get quotient 16 and remainder 1.
      • 

    • Step 2: Divide 16 by 2, get quotient 8 and remainder 0.
      • 

    • Step 3: Divide 8 by 2, get quotient 4 and remainder 0.
      • 

    • Step 4: Divide 4 by 2, get quotient 2 and remainder 0.
      • 

    • Step 5: Divide 2 by 2, get quotient 1 and remainder 0.
      • 

    • Step 6: Divide 1 by 2, get quotient 0 and remainder 1.
      • 

    • Step 7: Reading the remainders from bottom to top gives us "100001".
      • 

    •
Constraints
    

  • 0 ≤ number ≤ 10^9
    • 

  • Return the binary representation as a string without the "0b" prefix
    • 

  • Time Complexity: O(log n), where n is the input number
    • 

  • Space Complexity: O(log n) to store the binary digits
    •
Control StructuresFunctions / MethodsRecursionTCS (Tata Consultancy Services)Snowflake
Editorial

Login to view the detailed solution and explanation for this problem.

My Submissions
All Solutions
Refresh
Lang Status Date Code
You do not have any submissions for this problem.
Refresh
User Lang Status Date Code
No submissions found.

Please Login to continue
Solve Problems

 
 
 
Output Window
Clear All Apply Filters

Trending

Others

SIGN IN

Don't have an account? Register

Hint
Solution

Solution Hints

    
  
  • Use bin() function: bin(number)[2:]
    • 
  
  • Use format(): format(number, 'b')
    • 
  
  • Iterative division: while number > 0: binary = str(number % 2) + binary; number //= 2
    • 
  
  • Use recursion: def to_binary(n): return "" if n == 0 else to_binary(n // 2) + str(n % 2)
    •

The following are the steps to convert a decimal number to binary:

  • Take a decimal number as input.  

  • Use `bin(num)[2:]` to get the binary equivalent.  

  • Print the binary representation.  

  • Check edge cases like `0` and `1`.

Submitted Code :