IEEE 754 Float

Decimal to and from 32-bit and 64-bit IEEE 754 floats, with the sign, exponent, and mantissa broken out. Edit either field.

Precision

Decimal value

Hex bits

■ sign ■ exponent ■ mantissa

A single has 1 sign bit, 8 exponent bits (bias 127), and 23 mantissa bits. A double has 1 + 11 (bias 1023) + 52. The stored value is ±1.mantissa × 2^(exp−bias), with the leading 1 implied.