Binary Representation (Click to Toggle Bits)

Sign Bit
Exponent Bits
Mantissa Bits

Binary Value

Hexadecimal Value

Reconstructed Decimal

Individual Components (Editable)

Sign
Exponent
Mantissa

IEEE 754 Formula: (-1)sign × 2(exp-currentBias) × [1 + Mantissa (224) ]

(-1)^sign × 2^exponent × (1.mantissa)
3.14159

FP32 (Single Precision)

32 bits total: 1 sign bit, 8 exponent bits, 23 mantissa bits