Binary Representation

• Convert between denary (decimal) and binary (with fractional parts), and format normalised floating‑point representations using custom mantissa/exponent bit widths.

Features

• Denary → Binary (integers and fractions)
• Binary → Denary (integers and fractions)
• Normalise to mantissa/exponent with fixed bit widths
• Shows truncation error when mantissa overflows

Run

• Interactive menu: python3 "Binary-representation.py"

Conventions

• Negative integers use minimal‑width two’s complement (e.g., -5 → 1011, -10 → 10110).
• Positive integers omit a sign bit (e.g., 5 → 0101).
• Fractions are generated by repeated ×2; for negative decimals the fraction is (1 − f) with a 1 borrowed from the integer part.
• Normalisation outputs mantissa | exponent with mantissa padded/truncated to the requested bits and exponent in two’s complement.

Examples

• Denary → Binary: 5 → 0101, 10.25 → 01010.01, -5.5 → 1010.1
• Binary → Denary: 0101 → 5, 01010.01 → 10.25, 1011 → -5
• Normalise (mantissa=8, exponent=4): 5 → mantissa 0.1010000, exponent 0011, general form 0.625*2^3

Notes

• Non‑terminating fractions (e.g., 0.1) are not rounded/capped.
• Binary input interpretation: a leading 1 in the integer part is treated as negative two’s complement for that input width. For unsigned interpretation, prefix a 0 (e.g., 0101).
• The filename has a space; use quotes when running: python3 "Binary-representation.py".