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IEEE-754 Analysis Tool

Break floating point values into sign, exponent, and mantissa bits for both 32-bit and 64-bit representations.

IEEE-754 Analysis
0.1
1
-13.5
3.1415926
NaN
Infinity
Float32 Breakdown
01000000010010010000111111011010

Sign

0

Exponent

10000000

Mantissa

10010010000111111011010

Float64 Breakdown
0100000000001001001000011111101101001101000100101101100001001010

Sign

0

Exponent

10000000000

Mantissa

1001001000011111101101001101000100101101100001001010

What This Floating Point Analyzer Shows

Float32 and Float64

Compare 32-bit and 64-bit representations for the same decimal input.

Raw binary output

Inspect the exact bit pattern used by JavaScript DataView encoding.

Sign, exponent, mantissa split

Understand the structure of floating point storage without extra tooling.

Frequently Asked Questions

Why do some decimals look strange in binary floating point?

Many decimal fractions cannot be represented exactly in binary, so IEEE-754 stores the nearest representable value.

When is IEEE-754 analysis useful?

It helps when debugging precision issues, explaining numeric storage, comparing float32 vs float64 behavior, or inspecting serialization bugs.