Binary to Decimal Converter — Free Online
Convert binary numbers to decimal online for free. Paste any binary string and get the exact decimal equivalent with step-by-step working shown.
About Binary To Decimal
Binary to decimal conversion is the process of translating a base-2 number composed of 0s and 1s into its familiar base-10 decimal equivalent. This is a core skill in computer science, digital electronics, and low-level programming. Our converter accepts binary strings of any length and calculates the decimal value using the positional notation method. A step-by-step breakdown is shown for learning purposes. Also shows hex and octal equivalents.
Frequently Asked Questions
How does binary to decimal conversion work?
Each binary digit is multiplied by 2 raised to its position power and all values are summed.
Is there a limit on the binary string length?
No practical limit — the tool handles very long binary strings accurately.
Does it also show hex and octal equivalents?
Yes — hexadecimal and octal equivalents are displayed alongside the decimal result.
What if I enter an invalid binary?
Invalid characters are flagged immediately. Binary only uses 0 and 1.
Can I convert binary fractions?
Currently only whole binary integers are supported.