How do I convert decimal to binary?

Enter your decimal number, select base 10 as the input, and all representations (binary, octal, hex) appear instantly.

IEEE 754 is the standard for floating-point arithmetic. It defines how computers store decimal numbers in binary — using a sign bit, exponent, and mantissa. This explains surprising behaviors like 0.1 + 0.2 ≠ 0.3.

Why does 0.1 + 0.2 equal 0.30000000000000004?

Because 0.1 and 0.2 cannot be represented exactly in binary floating point — just like 1/3 cannot be represented exactly in decimal. The IEEE 754 tab shows the exact bit pattern for any float.

Number Base & IEEE 754

Convert integers between binary, octal, decimal, and hex. Visualize IEEE 754 floating-point representation.

Input

From base

Base	Value
Binary(base 2)	0b11111111
Octal(base 8)	0o377
Decimal(base 10)	255
Hexadecimal(base 16)	0xFF
ASCII	Out of ASCII range

About Number Base Converter & IEEE 754 Float Visualizer

Free online number base converter. Convert between binary, octal, decimal, and hex. Visualize IEEE 754 single and double precision floating-point representation.

How to use Number Base & IEEE 754

1On the Base Converter tab, enter a number and select its base.
2All representations (binary, octal, decimal, hex) appear instantly.
3Switch to the IEEE 754 tab to enter a floating-point number.
4See the sign, exponent, and mantissa bit fields visualized.

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