Thanks Ioannis.

This (schema) is where I have come up to now - using the simple simplest, maybe too simple (...) The opamp acts as a voltage doubler (seems enough for what I need).

BTW, I'm using a 16F690 with 10 bits ADC.
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At 24°C, the LM35 outputs 1,199V so the opamp's Vout shows 2,396V.

Now, what is the LM35 going to output at 0°C or even less, around -20°C?

Since 1,199V represent 24°C, can I say that at 0°C, I will have 0,959Volts (LM35 Vout)?

Talking "temperature", what is the reference when adjusting temperature sensors at home?

Is it this?
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Noooooooooooooo......

NB: You're absolutely right about Kelvins. In the field, talking with cooling systems engineers, to make sure we don't get messed up while setting up machines, we (wrongly) use Kelvins to express a temperature difference or threshold and degrees to set a temperature value