6. Floating-point representation

6.1 General presentation

For all representations, the number of different numbers is exactly the same: 2 ⁿ for n bits. The characteristic of integer and fixed-point representations is that the gap between two successive numbers is always the same: 1 for integers, 2 ^–k for fixed-point with k bits after the decimal point. The range of numbers that can be represented is limited: from 0 to 2 ⁿ – 1 for unsigned integers and from –2 ^n–1 to 2 ^n–1 – 1 for signed integers. For fixed-point representation, the above amplitudes are divided by 2 ^k...