What is binary (base-2)?
Binary is a number system using only digits 0 and 1. Each digit position represents a power of 2 (1, 2, 4, 8, 16...). All digital computers store and process data using binary at the hardware level.
Binary to Decimal Converter instantly translates binary numbers (base-2, digits 0 and 1) into their decimal (base-10) equivalents. This is an essential tool for computer science students learning number systems, programmers debugging bitwise operations and bitmasks, embedded system developers reading register values, and network engineers working with IP subnet masks. Enter any binary string and get the decimal value with step-by-step breakdown.
Binary uses base-2 positional notation. Each bit position represents a power of 2, starting from 2⁰ (1) on the right. To convert: multiply each binary digit by its corresponding power of 2 and sum the results. For 1010: (1×8) + (0×4) + (1×2) + (0×1) = 10. This tool performs the same calculation instantly for any length binary string.
Binary is a number system using only digits 0 and 1. Each digit position represents a power of 2 (1, 2, 4, 8, 16...). All digital computers store and process data using binary at the hardware level.
Multiply each binary digit (from right to left) by 2 raised to its position (starting at 2⁰). Sum all results. Example: 1011 = (1×8) + (0×4) + (1×2) + (1×1) = 11.
11111111 in binary = 255 in decimal. An 8-bit unsigned integer ranges from 0 (00000000) to 255 (11111111).
This tool converts unsigned binary to decimal. For signed two's complement conversion, the most significant bit represents -(2^n-1).
No. Conversion runs entirely in your browser.
Yes, completely free. No login required.
Tool workspace
Free binary to decimal converter online — instantly convert any binary number (base-2) to decimal (base-10). Shows step-by-step working. Perfect for CS students and programmers. No login.
Output
Input
11001010
Output
202