As shown in Figure 6-2, the TMP23x-Q1 devices are linear. A small V_OUT gain shift, however, is present at temperatures above 100°C. When small shifts are expected, a piecewise linear function provides the best accuracy and is used for the device accuracy specifications (see Section 6). Typical output voltages of the TMP23x-Q1 devices across the full operating temperature range are listed in Table 7-3 and Table 7-4. The ideal linear columns represent the ideal linear V_OUT output response with respect to temperature, while the piecewise linear columns indicate the small voltage shift at elevated temperatures.

The piecewise linear function uses three temperature ranges listed in Table 7-1 and Table 7-2. In equation form, the voltage output V_OUT of the TMP23x-Q1 is calculated by Equation 1:

where

• V_OUT is the TMP23x-Q1 voltage output for a given temperature
• T_A is the ambient temperature in °C
• T_INFL is the temperature inflection point for a piecewise segment in °C
• T_C is the TMP23x-Q1 temperature coefficient or gain
• V_OFFS is the TMP23x-Q1 voltage offset

Therefore, the T_A temperature for a given V_OUT voltage output within a piecewise voltage range (V_RANGE) is calculated in Equation 2. For applications where the accuracy enhancement above 100°C is not required, use the first row of Table 7-1 and Table 7-2 for all voltages.