Binary/Decimal Converter

Convert between Binary, Decimal, Octal, and Hexadecimal number systems.

Binary Number (base 2)

Only 0 and 1 allowed

Decimal Number (base 10)

2⁰

2¹

2²

2³

2⁴

Calculation: 2^1 + 2^3 + 2^4 = 26

Hexadecimal (base 16)

0x1A

Octal (base 8)

0o32

Binary (base 2)

0b11010

Binary (base 2): Only uses 0 and 1, fundamental to all computer systems

Decimal (base 10): Standard human counting system using digits 0-9

Powers of 2: Each binary digit represents a power of 2 (1, 2, 4, 8, 16, 32...)

Byte: 8 bits = 1 byte, ranges from 0 (00000000) to 255 (11111111)

JavaScript conversion: parseInt('1010', 2) converts binary to decimal, num.toString(2) converts back

Signed integers: Use two's complement for negative numbers in binary representation