IEEE 754 Float Visualizer

Enter a Number

64-Bit Binary Representation

S Exponent (11 bits) Mantissa (52 bits)

Breakdown

IEEE 754 Double (64-bit)

PartBitsRange
Sign1 (bit 63)0=+, 1=−
Exponent11 (bits 52-62)0-2047 (biased by 1023)
Mantissa52 (bits 0-51)Implicit leading 1 for normals

Special Values

+0 / -0exp=0, mantissa=0
Denormalizedexp=0, mantissa≠0
±Infinityexp=2047, mantissa=0
NaNexp=2047, mantissa≠0

Key Constants

Number.EPSILON2⁻⁵² ≈ 2.22e-16
MAX_SAFE_INTEGER2⁵³-1 = 9007199254740991
MAX_VALUE≈1.798e+308
MIN_VALUE5e-324 (denorm)
MIN_NORMAL≈2.225e-308

Common Gotchas

• 0.1 + 0.2 ≠ 0.3 (rounding error)

• 9007199254740992 + 1 === 9007199254740992

• NaN !== NaN (only value ≠ itself)

• -0 === +0 but 1/-0 === -Infinity

• typeof NaN === "number"