IEEE 754 Float Converter

Convert decimal floating-point numbers into 32-bit Single Precision and 64-bit Double Precision IEEE 754 binary bit representations (Sign, Exponent, Mantissa/Fraction), and vice versa.

Why Use This Converter?

• Computer Architecture: Inspect how binary floating-point numbers are represented in memory and CPU registers.
• Debugging Float Imprecision: Understand why `0.1 + 0.2 === 0.30000000000000004` in JavaScript and C.
• Embedded Systems & Game Engines: Decode raw binary float buffers from C/C++ network packets.

How to Use

1. Enter a decimal float (e.g. `3.14159`) or 32-bit / 64-bit binary bit string.
2. View automatic breakdown into Sign Bit, Exponent Bits, and Mantissa Bits.
3. Examine exact stored float value and rounding offset.

Real Conversion Example

Input (TEXT):

0.15625

Output (TEXT):

32-bit Binary: 0 01111100 01000000000000000000000
Sign: 0 (+)
Exponent: 01111100 (Decimal 124, Unbiased -3)
Mantissa: .01000000000000000000000 (1.25 in binary)

Important Technical Details & Mechanics

• JavaScript ArrayBuffer / DataView: Uses native TypedArrays (`Float32Array`, `Float64Array`) for exact hardware-level bit extraction.
• Special Value Support: Full support for `+0`, `-0`, `+Infinity`, `-Infinity`, and `NaN` bit patterns.
• Local Browser Execution: Instant, hardware-exact calculation.

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