Fixed-Point Blockset

Fixed-Point Numbers

Fixed-point numbers are stored in data types that are characterized by their word size in bits, radix point, and whether they are signed or unsigned. The Fixed-Point Blockset supports integers, fractionals, and generalized fixed-point numbers. The main difference between these data types is their default radix point.

Note    Fixed-point word sizes up to 128 bits are supported.

A common representation of a binary fixed-point number (either signed or unsigned) is shown below.

where

• b_i are the binary digits (bits).
• The size of the word in bits is given by ws.
• The most significant bit (MSB) is the leftmost bit, and is represented by location .
• The least significant bit (LSB) is the rightmost bit, and is represented by location b₀.
• The radix point is shown four places to the left of the LSB.

Overview

Signed Fixed-Point Numbers