Binary to Decimal Converter
Convert between binary and decimal number systems.
Bidirectional
Convert binary to decimal or decimal to binary.
All Bases
Also shows octal and hexadecimal representations.
Step by Step
See the positional notation breakdown.
FAQ
How to convert binary to decimal?
Multiply each digit by 2^position (right to left, starting at 0) and sum. E.g., 1010 = 1×8 + 0×4 + 1×2 + 0×1 = 10.
How to convert decimal to binary?
Repeatedly divide by 2 and read remainders bottom-up. E.g., 10 ÷ 2 = 5r0, 5÷2 = 2r1, 2÷2 = 1r0, 1÷2 = 0r1 → 1010.