The problem not solved because bias is not right with the desired signal it originally for prusser transducer replacement (0-10Vdc) replacing (1-5Vdc) the controller only can read (1-5Vdc)! If there are any ways to mapping this voltage actively or passively?
It's not clear what you're trying to do.
Did you read the links I posted above?
If all you want to do is scale a 0V to 10V signal, to 1V to 5V and you have a stable 5V supply, then all you need are three resistors.
If you require a low output impedance, then add an op-amp buffer.
Here's a site which can calculate the resistor values. It also shows the op-amp buffer, which is only required if you need to drive a low impedance load.
http://earmark.net/gesr/opamp/case7.htmhttp://earmark.net/gesr/opamp/gain_offset.htm