The voltage $($in$)$ from a pressure sensor goes between $0\mathrm{.}5$V to $6\mathrm{.}5$V and is connected to a microcontroller which can read signals between $0$ to $3$V$.$ Design a circuit to map the sensor signal to utilize the full range of the microcontroller.

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a$)$ What mathematical operation do you need to perform?

$($in the form Vout$=$ G$*$ Vin $+$ Vbias$)$

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b$)$ What kind of circuit do you plan to use?

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c$)$ Design and draw the circuit