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Fixed-Point Word Converter
Quantize exact decimals into bounded fixed-point words or inspect full-width hex as an exact rational value.
Conversion direction (select), Word width (select), Signed two’s complement (checkbox), Fractional bits (text), Decimal or exact-width hex word (text)
Complete exact JSON report
Browser only
Runs locally in your browser. Your files, pasted content and generated output are not uploaded. Reset clears this tool’s working data.
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How to use this tool
- Choose Conversion direction, Word width, Signed two’s complement and Fractional bits.
- Enter Decimal or exact-width hex word and select Convert fixed point.
- Download fixed-point.json for the complete hex/binary word, integers, represented fraction and represented-minus-input error.
Examples
Signed8-bit width with4 fractional bits converts−1.5 to E8,stored integer−24,represented−3/2 and zero error.
Limitations
- Widths 8/16/32/64; fractional bits 0–width for unsigned or 0–width−1 for signed. Decimal input allows outer whitespace, 100 coefficient digits, 128 raw units and exponent −1000 to 1000.
- Hex input requires exactly width/4 digits after optional 0x. Rounded integer range is checked after quantization; no saturation or wrapping.
- 4,096-digit arithmetic, 64 KiB report and a 30-second processing limit. Hex mode has null quantization error and rounding. Width and fractional bits define the format explicitly.
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