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LM135: offset the output voltage possible?

Part Number: LM135
Other Parts Discussed in Thread: LMT87,

Hi Team,

Say in one case, ADC Vs = 3.3V, internal Vref 2.5V is fixed, cannot be changed.

LM135 is used for ThermoCouple - CJC purpose. Then fits the output voltage into ADC for calculation.

The problem right now is that LM135 max output voltage could be 3.7V at temp of 100C. (K = 273 + 100 = 373)

100C is the highest Ta (3.7V) and expecting 0C = 273K is lowest Ta. (2.7V)

Unfortunately, 3.3V is the only supply we have here. 

Is there a way to kind of offset the whole T-V dynamic range. (2.7V - 3.7V) to something like 1V to 2V for example? 

Any input is welcome, if this is not possible, it's ok, at least I want to double check.

Thanks.

Andrew