# Signal voltage scaling

I have a linear range control signal from 1.75 V (0%) to 3.22 V (100%) .

How can I convert this to a 0-5V signal (0-100%)?

I have a single +5V supply with same 0V as control signal.

• Surely this must meet the "no research effort" criteria?
– pipe
Commented Mar 22, 2020 at 16:14

As a starting point, see Bruce Carter's application report titled Designing Gain and Offset in Thirty Seconds (Texas Instruments, document number SLOA097, Feb. 2002).

For what it's worth, if your power supply voltage is +5 VDC, the task of designing a signal conditioning circuit whose output voltage is precisely 0 V – 5 V is not a straightforward task. The reason is this: an op amp cannot output a voltage that is equal to the voltages at the op amp's power input pins. For example, for an op amp whose power pins are connected to +5 VDC and ground, the op amp's output voltage range does not include +5 VDC nor ground:

$$0\,\mathrm{VDC} \lt V_{out} \lt +5\,\mathrm{VDC}$$

So you might find it easier to design a signal conditioning circuit whose output voltage range is, for example, 0.2 V – 4.8 V.