When using the LM741, one of the inputs will have a bias (usually non-inverting input), which means the output can never be 0 V. If a 0 V output is needed, you need to offset the bias. To do this, you can connect both inputs to two 1K resistors in parallel, or both inputs to either side of a 10K potentiometer. This will allow an output of 0 V from the opamp.
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