A low, middle, and high command show rails as a numeric clamp, not an afterthought. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
A command below the rail clips to zero
With rails 0 to 5 volts, a command of negative 2 volts becomes output 0 volts.
clip(−2;0,5)=0V
A command inside the rails passes through
Command 3 volts lies between 0 and 5 volts, so the output remains 3 volts.
clip(3;0,5)=3V
A command above the rail clips to five volts
Command 7 volts exceeds the 5 volt upper rail, so the actual output is 5 volts.