**Square root extraction signals are used to simplify closed pipe liquid or gas flow calculations and to improve resolution of the non-linear signal when converted to a flow reading.**

The output from a Modbus 12 bit count can be transformed in the following ways:

A linear digital output signal of 0 to 4095 steps can be converted to a non-linear sq rt extraction by applying the following formula or table:

[Output Sq Rt] = √ ([Output Linear] x 4095)

Linear (0 – 4095 steps) | Sq Rt (0 – 4095 steps) |
---|---|

0 | 0 |

255 | 1021 |

511 | 1446 |

767 | 1772 |

1023 | 2046 |

1279 | 2288 |

1535 | 2507 |

1791 | 2708 |

2047 | 2895 |

2303 | 3070 |

2559 | 3237 |

2815 | 3395 |

3071 | 3546 |

3327 | 3691 |

3583 | 3830 |

3839 | 3964 |

4095 | 4095 |

A sq rt extraction output of 0 to 4095 steps can be transformed to a linear signal by using the following formula or table:

[Output Linear] = ([Output Sq Rt])²/ 4095

Sq Rt (0 – 4095 steps) | Linear (0 – 4095 steps) |
---|---|

0 | 0 |

255 | 15 |

511 | 63 |

767 | 143 |

1023 | 255 |

1279 | 399 |

1535 | 575 |

1791 | 783 |

2047 | 1023 |

2303 | 1295 |

2559 | 1599 |

2815 | 1935 |

3071 | 2303 |

3327 | 2703 |

3583 | 3135 |

3839 | 3599 |

4095 | 4095 |