IEEE 754 Float Visualizer

Visualize how floating-point numbers are stored in IEEE 754 format (sign, exponent, mantissa).

Decimal Value

Precision

Bit Layout (64 bits)

Sign (1 bit)

Exponent (11 bits)

Mantissa (52 bits)

0100000000001001000111101011100001010001111010111000010100011111

Breakdown

ClassificationNormal

Sign0 (+)

Exponent (raw)1024

Exponent (biased)1 (bias = 1023)

Mantissa10010001111010111000...

Hex0x40091EB851EB851F

All Bits0100000000001001...1000010100011111

IEEE 754 Format

value = (-1)^sign * 2^(exponent - bias) * (1 + mantissa)

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

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

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