Binary to Decimal Converter Tool
Welcome to the Free Binary to Decimal Converter, an easy, fast, and accurate online tool for converting binary numbers (base 2) into decimal numbers (base 10), and vice versa.
Whether you’re learning computer science, digital electronics, or programming, understanding binary and decimal conversions is essential. This converter helps you do it instantly, no manual calculations needed.
Use it to:
Convert binary to decimal in one click.
Convert decimal to binary accurately.
Learn how both number systems work with real examples.
Binary ⇄ Decimal Converter
How Binary and Decimal Conversion Works
The binary system (base 2) uses only two digits: 0 and 1. Each position represents a power of 2, starting from the rightmost bit.
Example:1010₂ = (1×2³) + (0×2²) + (1×2¹) + (0×2⁰)
= 8 + 0 + 2 + 0 = 10₁₀
The decimal system (base 10) is what humans use every day, using digits 0–9. When converting from decimal to binary, we repeatedly divide the decimal number by 2 and record the remainders in reverse order.