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IEEE 754 Float Converter - Free Online Tool

Convert decimal numbers to IEEE 754 binary representation and visualize sign bit, exponent, mantissa for debugging floating point precision

ieee 754floating pointfloat converterdouble precisionbinary representationsign bit

Convert decimal numbers to IEEE 754 binary representation and visualize sign bit, exponent, mantissa.

Decimal Input

Convert from Binary

32-bit Float: 1-bit sign + 8-bit exponent + 23-bit mantissa (bias: 127)

64-bit Double: 1-bit sign + 11-bit exponent + 52-bit mantissa (bias: 1023)

Value Calculation: (-1)^sign × mantissa × 2^(exponent-bias)

Floating Point Error: Understand why 0.1 + 0.2 ≠ 0.3.

Convert decimal numbers to IEEE 754 binary representation and visualize sign bit, exponent, mantissa.

Decimal Input

Convert from Binary

32-bit Float: 1-bit sign + 8-bit exponent + 23-bit mantissa (bias: 127)

64-bit Double: 1-bit sign + 11-bit exponent + 52-bit mantissa (bias: 1023)

Value Calculation: (-1)^sign × mantissa × 2^(exponent-bias)

Floating Point Error: Understand why 0.1 + 0.2 ≠ 0.3.