W Code - Pattern-Based DSA Learning Platform

Bhanu Bisht

Convert decimal numbers to binary representation. Key for bit manipulation problems. Whether you're solving coding interview problems or studying for exams, understanding how to convert decimal to binary is essential.

Conversion Logic:

Repeatedly divide by 2 and record remainders. Read remainders bottom-to-top.

This is a fundamental skill tested in coding interviews, competitive programming, and CS theory exams.

Example 1

Input: 10

Output: 1010

Explanation: 10/2=5r0, 5/2=2r1, 2/2=1r0, 1/2=0r1 → 1010

Example 2

Input: 255

Output: 11111111

Explanation: All 8 bits set to 1

Example 3

Input: 100

Output: 1100100

Explanation: 64 + 32 + 4 = 100

Test your understanding with these exercises:

1.Convert 5 different values using the method above

2.Implement the conversion algorithm in your preferred language

3.Solve related problems on W Code to build speed

Interview tip: Be ready to explain the conversion process step-by-step on a whiteboard.

python
def decimal_to_binary(n: int) -> str:
    if n == 0: return "0"
    result = []
    while n > 0:
        result.append(str(n % 2))
        n //= 2
    return "".join(reversed(result))

# Or simply: bin(n)[2:]

Repeatedly divide by 2 and record remainders. Read remainders bottom-to-top.

Yes, number system conversions are common in aptitude rounds and bit manipulation problems.

Related: binary-to-decimal, decimal-to-hex, decimal-to-octal. Understanding these together builds a complete foundation.

Conversion Logic:

Repeatedly divide by 2 and record remainders. Read remainders bottom-to-top.

This is a fundamental skill tested in coding interviews, competitive programming, and CS theory exams.

Example 1

Input: 10

Output: 1010

Explanation: 10/2=5r0, 5/2=2r1, 2/2=1r0, 1/2=0r1 → 1010

Example 2

Input: 255

Output: 11111111

Explanation: All 8 bits set to 1

Example 3

Input: 100

Output: 1100100

Explanation: 64 + 32 + 4 = 100

Test your understanding with these exercises:

1.Convert 5 different values using the method above

2.Implement the conversion algorithm in your preferred language

3.Solve related problems on W Code to build speed

Interview tip: Be ready to explain the conversion process step-by-step on a whiteboard.

python
def decimal_to_binary(n: int) -> str:
    if n == 0: return "0"
    result = []
    while n > 0:
        result.append(str(n % 2))
        n //= 2
    return "".join(reversed(result))

# Or simply: bin(n)[2:]

Repeatedly divide by 2 and record remainders. Read remainders bottom-to-top.

Yes, number system conversions are common in aptitude rounds and bit manipulation problems.

Related: binary-to-decimal, decimal-to-hex, decimal-to-octal. Understanding these together builds a complete foundation.

Decimal to Binary Converter

How It Works

Step-by-Step Examples

Example 1

Example 2

Example 3

Practice Problems

Implementation Code

Frequently Asked Questions

Decimal to Binary Converter

How It Works

Step-by-Step Examples

Example 1

Example 2

Example 3

Practice Problems

Implementation Code

Frequently Asked Questions

Decimal to Binary Converter

How It Works

Step-by-Step Examples

Example 1

Example 2

Example 3

Practice Problems

Implementation Code

Related Converters

Frequently Asked Questions

Decimal to Binary Converter

How It Works

Step-by-Step Examples

Example 1

Example 2

Example 3

Practice Problems

Implementation Code

Related Converters

Frequently Asked Questions