Binary to Decimal Converter

Each binary digit is a power of two. Reading right to left, the digits stand for 1, 2, 4, 8 and so on. Add the powers where the digit is 1. For example 1010 is 8 + 0 + 2 + 0, which is 10.

No practical limit. The converter uses arbitrary-precision integers (BigInt), so even hundreds of binary digits convert to the exact decimal value with no rounding or overflow.

No. Leading zeros do not affect the value, so 00001010 and 1010 both convert to 10. They are useful only for padding a number to a fixed bit width.

Yes. Spaces, tabs and line breaks are stripped before converting, so grouped input like 1010 1010 gives the same answer as 10101010. Grouping into 4-bit or 8-bit chunks just makes long numbers easier to read.

Eight bits hold values from 00000000 to 11111111, which is 0 to 255, giving 256 possible values. Two bytes reach 65535 and four bytes reach 4294967295.

Any character other than 0 or 1 (after spaces are removed) is rejected and the tool shows an Invalid binary number message. Decimal digits like 2 to 9, letters and a decimal point are not accepted.

No. It converts whole, unsigned binary numbers only. It does not read a minus sign, a binary point, or twos-complement sign bits, so a leading 1 is treated as value, not as a negative flag.

Binary is base 2 and uses only 0 and 1, with each position worth twice the one to its right. Decimal is base 10 and uses digits 0 through 9. Computers store everything in binary because a bit maps cleanly to on or off.

No. The conversion happens entirely in your browser with JavaScript, so the numbers you enter never leave your device.