A reference-and-sense scan computes the two comparator input nodes first, here a fixed V_ref = 6 V from an equal-resistor divider and a sensed V_sense = 8 V, before any decision rule runs. The arithmetic is exact only for the stated reference voltages, sensed voltages, resistances, and rows in the ideal comparator and ideal input-divider model. Real comparators add input offset, hysteresis, noise, finite response time, reference tolerance, probe/calibration limits, finite precision, and measurement uncertainty.

A comparator compares two voltages, so the two input nodes must be computed before the decision. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

The reference divider makes a fixed node

The reference divider uses equal resistors, so its output is 6 volts.

Vref=6 VV_{\text{ref}} = 6\ \text{V}
Reference dividerEqual resistors put the reference node halfway up.12 V6 ohm6 ohm1 A+-6 V+-6 Vtopoutputbottom

The sensed divider makes a higher node

The sensed divider output is 8 volts.

Vsense=8 VV_{\text{sense}} = 8\ \text{V}
Sense dividerThe sensed node is computed from its resistor ratio.12 V4 ohm8 ohm1 A+-4 V+-8 Vtopoutputbottom