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Linearized output to degrees celsius


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I was wondering what would be the best way to convert my thermocouple reading into degrees celsius. I am using a UID-W1616R and a UIA-0402N. Right now I am using the Linearize function (X1 & Y1 = 0, X2 = 8191 and Y2 8191), which gives me a linearized output of 148 for 19.5 degrees C and 345 for 42 degrees C. And its a linear relationship. The problem I am facing for low temperature readings such as room temperature, is that the linearized output from my thermocouple varies by about +- 10. 

Any suggestions would be appreciated! 

P.S. I am a beginner in PLC programming


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