# Binary Decimal Converter

## Free Online Binary Decimal Converter

Convert binary numbers to decimal and decimal to binary automatically with this free online app. This converter can handle very large numbers - enter up to 50,000 binary digits (bits) or decimal digits and get the equivalent decimal or binary value returned. Just paste your number directly in the text box and click convert.

### Converting between Binary and Decimal

When you convert binary numbers to their equivalent decimal number with this converter, you can also choose to leave the spaces in the number, eg: "1011 1001 0111", or you can enter the number without spaces, eg: "101110010111". And when converting decimal to binary, the decimal numbers are automatically stripped of commas and spaces, so you can enter a number in any of these ways: "1,230,300", "1 230 300", "1230300".

### More about Binary and Decimal Conversion

This online app essentially follows the same pattern that you would use if manually converting binary to decimal: Looking from left to right at the binary number, starting with the first "1", first multiply the running total of the decimal number (starting at 0) by 2, then if the binary digit (bit) is 1, add 1 to the decimal value. Repeat with each digit in the binary number.

Binary (base-2) is most commonly used in computer systems, digital circuitry, and modern electronic devices like smart phones. Where as decimal (base 10) is the number system we all use on a daily basis. Whether working with hardware, coding software or just working with raw numbers and mathematics, many people find the need to automatically convert from one base to another, or to just check their work after having manually done the conversion.