PIC Microcontroller based resistor decade box

I was thinking about making a resistor decade box, but I found the rotary switches that are used in these most of the time rather expensive and a bit old fashioned. That's why I decided to use a rotary encoder and select the resistors with a microcontroller. Now I only had to find a way to "make" the resistance. Switching resistors with transistors or mosfets gives a high switch resistance and can't handle ...

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