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Convert a Decimal Number to Binary

Certification: Basic Level Accuracy: 80.43% Submissions: 46 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

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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 :