## Documentation Center |

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 Designer™ 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 slope adjustment factor equal to one. This is referred to as binary point-only scaling or power-of-two scaling:

or

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

For an example of how to compute slope and bias in MATLAB |

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