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This tool converts a value from one range to its corresponding value in a new range.

As an example let’s say the old range was 10 to 50 and the new range is -100 to 0, then what does a value of 25 in the old range convert to in the new range?

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**Calculator**

Enter

- Old value
- Minimum and maximum values from the old range
- Min and max values from the new range

The calculator will give the new value from the new range

**Example Calculation**

With the following range values

Min | Max | |
---|---|---|

Old Range | 10 | 50 |

New Range | -100 | 0 |

A value of 25 is converted to -62.5

**How is this value calculated?**

The linear equation is used to first find the slope of the line that connects the two points. Think of the new range as plotted on the y-axis and the old range on the x-axis.

The basic equation that describes this is

**y = m*x+c**

where

**m = (new_range _{max} – new_range_{min})/(old_range_{max} – old_range_{min})**

the intercept point c is calculated using the equation

**c = y-m*x**

in this case

**c = new_range _{max} – m*old_range_{max}**

**Related Posts**

- This technique is used to convert from RSSI to dBm