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BIN to DEC Converter Online

Converting binary numbers to decimal helps understand bit flag values, file permissions, and results of bitwise operations.

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BIN → DEC
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10

Decimal (DEC)

Convert from/to decimal number system

01

Binary (BIN)

Convert from/to binary number system

0x

Hexadecimal (HEX)

Convert from/to hexadecimal number system

0o

Octal (OCT)

Convert from/to octal number system

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Frequently Asked Questions

Each bit is multiplied by the corresponding power of 2, starting from the rightmost bit (2^0). The results are summed. For example, 1101 = 1*8 + 1*4 + 0*2 + 1*1 = 13.
A byte is 8 bits, with values from 00000000 to 11111111 (0-255 in DEC). A kilobyte = 1024 bytes, a megabyte = 1024 kilobytes.
In Unix systems, file permissions (chmod) use octal notation, but each digit is 3 bits: r=4(100), w=2(010), x=1(001). For example, 755 = rwxr-xr-x.