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With straight electronics, one way to design a multiplier circuit would be with an operational transconductance amplifier, such as the CA3080, with one input driving the input pin and the other driving the gain control pin. This can be biased and calibrated to perform multiplication. Another way is to use a four quadrant multiplier chip, such as the AD834, which is based on transconductance as well, but designed specifically for multiplication. With a microcontroller, a better solution in low frequency applications, you can read the two inputs with two analog to digital converter inputs, multiply those values in software (applying whatever offset and calibration desired) and send the output to an digital converter output.

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