# realmin

Smallest positive normalized fixed-point value or quantized number

x=realmin(a)
x=realmin(q)

## Description

x=realmin(a) is the smallest positive real-world value that can be represented in the data type of fi object a. Anything smaller than x underflows or is an IEEE® "denormal" number.

x=realmin(q) is the smallest positive normal quantized number where q is a quantizer object. Anything smaller than x underflows or is an IEEE "denormal" number.

## Examples

q = quantizer('float',[6 3]);
x = realmin(q)

x =

0.2500

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### Algorithms

If q is a floating-point quantizer object, $x={2}^{{E}_{min}}$ where ${E}_{min}=\mathrm{exponentmin}\left(q\right)$ is the minimum exponent.

If q is a signed or unsigned fixed-point quantizer object, $x={2}^{-f}=\epsilon$ where f is the fraction length.