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Floating-Point Binary to Decimal Conversion Guide
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- Conversion Process
- Interpret sign, exponent, and fraction bits according to IEEE 754 standard
- Convert exponent bits to decimal and subtract bias if applicable
- Multiply fraction by 2 raised to exponent power
- Apply sign based on sign bit
- Floating-Point Basics
- Floating-point numbers can represent decimal values
- Common formats are 32-bit (float) and 64-bit (double)
- Float typically uses 4 bytes (32 bits) or 8 bytes (64 bits)
- 32-bit float has approximately 7 decimal digits precision
- Limitations
- Floating-point cannot represent numbers exactly
- 0.1 cannot be represented exactly in binary
- 0.3 cannot be represented exactly in binary
- 0.2 cannot be represented exactly in binary
- Notation
- "F" can be used to indicate floating-point numbers
- Floats ending with "F" help avoid type promotion
- 48-bit floating-point is not a standard format