Only 0s and 1s allowed
Binary uses only digits 0 and 1, representing the fundamental language of computers and digital systems. Each position represents a power of 2.
Decimal uses digits 0-9 and is the standard number system for everyday mathematics, business calculations, and human-readable numbers.
Essential for understanding computer operations, debugging bit manipulation code, and working with low-level programming languages.
Fundamental concept for students learning about number systems, digital logic, computer architecture, and data representation.
Critical for engineers working with microcontrollers, FPGA programming, and understanding digital circuit outputs and configurations.
Important for subnet mask calculations, IP address conversions, and understanding network configurations in binary format.
Input your binary number using only 0s and 1s in the converter field.
Our system calculates the decimal equivalent using base-2 positional notation.
Copy your decimal result instantly for use in calculations or programming.
To convert binary to decimal, multiply each digit by its corresponding power of 2 and sum the results. For example, binary 1011 = (1×2³) + (0×2²) + (1×2¹) + (1×2⁰) = 8 + 0 + 2 + 1 = 11 decimal.
Our converter can handle binary numbers up to 32 bits (32 digits), which converts to decimal numbers up to 4,294,967,295. This covers most practical computing applications.
Computers use binary because digital circuits can easily represent two states (on/off, high/low voltage). This makes binary the most efficient and reliable number system for electronic devices.
This tool converts unsigned binary numbers. For signed binary numbers (using two's complement), you would need a specialized signed binary converter that handles negative values.
Yes, binary to decimal conversion is always 100% accurate because both are exact number systems. Unlike floating-point conversions, there's no precision loss in integer binary-to-decimal conversion.