Converts binary (base 2) numbers to decimal (base 10). Each binary digit represents a power of 2 — the rightmost digit is 2^0 (1), the next is 2^1 (2), then 2^2 (4), and so on. This tool validates your input and shows the result in all common number systems.
Binary to Decimal Converter
Convert binary (base 2) numbers to decimal (base 10)
How to binary to decimal
- 1.Enter a binary number (0s and 1s only) in the input field.
- 2.The decimal equivalent and all other bases appear instantly.
- 3.Use the base selector to switch your input format.
- 4.Click Copy next to any result to grab it.
About This Tool
Frequently Asked Questions
Each position represents a power of 2, from right to left: 1, 2, 4, 8, 16, 32, etc. Add the values of positions that have a 1. For example, 1101 = 8 + 4 + 0 + 1 = 13.
Enter only 0s and 1s. Remove any 0b prefix, spaces, or other characters before converting.
You can enter binary numbers up to 53 digits long (2^53 - 1). Longer values may lose precision due to JavaScript's number handling.