Only positive integers allowed
Decimal uses digits 0-9 and is the standard number system for everyday mathematics, business, and human-readable numbers.
Binary uses only digits 0 and 1, representing the fundamental language of computers and digital systems. Each position represents a power of 2.
Essential for understanding how computers store and process data, memory addressing, and the fundamentals of digital logic.
Critical for bit manipulation, bitwise operations, embedded programming, and understanding computer architecture.
Fundamental for designing digital circuits, understanding logic gates, and working with microcontrollers and processors.
Important for subnet calculations, IP address analysis, and understanding how network protocols handle addressing.
Input your decimal number using digits 0-9 in the converter field.
System repeatedly divides by 2 and collects remainders to build binary representation.
Copy your binary result for use in programming or digital applications.
Divide the decimal number by 2 repeatedly and collect the remainders. The binary result is the remainders read in reverse order. For example, 10 ÷ 2 = 5 remainder 0, 5 ÷ 2 = 2 remainder 1, 2 ÷ 2 = 1 remainder 0, 1 ÷ 2 = 0 remainder 1, giving binary 1010.
Our converter can handle decimal numbers up to JavaScript's maximum safe integer (9,007,199,254,740,991), which covers virtually all practical computing applications.
Understanding decimal to binary conversion is fundamental for computer science, programming, digital electronics, and understanding how computers store and process data internally.
This tool converts positive decimal numbers to unsigned binary. For negative numbers, you would need a signed binary converter that handles two's complement representation.
Yes, decimal to binary conversion is mathematically exact for integers. There's no precision loss since both systems can represent the same integer values perfectly.