Convert binary numbers to decimal and decimal to binary quickly. Free online numeric base converter.
Enter base-2 binary numbers (0s and 1s only).
Enter base-10 numerical values.
A clean, dual-conversion Binary to Decimal Converter tool. Ideal for computer science students, engineering homework, network planning, or digital systems design. Need to convert from other computer bases? Try our Hex to Decimal Converter or type standard formulas in the Scientific Calculator.
This tool operates entirely in your browser using pure JavaScript, ensuring maximum privacy and instant calculations without any server delays. No data is stored, and no signup is required. You can return to our Home Page for more tools.
Enter base-2 binaries or standard base-10 decimals into the respective input. The opposing system converts instantly. Learn about numeral systems on Wikipedia's Binary resource.
Binary is a base-2 numbering system that uses only two digits, 0 and 1, to represent digital computations and data values inside computer hardware.
To convert binary to decimal, multiply each binary digit by 2 raised to the power of its position index (starting from 0 on the right), and then sum all results. For example: 1010 = (1 * 2³) + (0 * 2²) + (1 * 2¹) + (0 * 2⁰) = 8 + 0 + 2 + 0 = 10.