Learn more about Fixed-Point Toolbox

Scaling

Fixed-point numbers can be encoded according to the scheme

where the slope can be expressed as

The integer is sometimes called the stored integer. This is the raw binary number, in which the binary point assumed to be at the far right of the word. In Fixed-Point Toolbox documentation, the negative of the fixed exponent is often referred to as the fraction length.

The slope and bias together represent the scaling of the fixed-point number. In a number with zero bias, only the slope affects the scaling. A fixed-point number that is only scaled by binary point position is equivalent to a number in [Slope Bias] representation that has a bias equal to zero and a fractional slope equal to one. This is referred to as binary point-only scaling or power-of-two scaling:

or

Fixed-Point Toolbox software supports both binary point-only scaling and [Slope Bias] scaling.

Note   For examples of binary point-only scaling, see the Fixed-Point Toolbox Binary-Point Scaling demo.

Fixed-Point Data Types

Precision and Range

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