Floating Point Calculator

Convert between decimal and IEEE 754 floating point representation.

Input Number

Decimal Number

Precision

Representation

Hexadecimal

0x40490FD0

Breakdown (Sign | Exponent | Mantissa)

10000000Exp

10010010000111111010000Mantissa

Full Binary: 01000000010010010000111111010000

About this calculator

Overview

IEEE 754 defines binary floating point: sign, exponent, mantissa. Single precision: 32 bits; double: 64 bits.

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Pro Tips

Fun Facts

Formula: Value = (−1)^s × 2^(e−bias) × 1.mantissa