Three loaded-node rows carry one source factor through the full front-end chain. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

One loaded volt doubles but still drives LOW

The loaded node is 1 volt. Gain 2 makes 2 volts, below the lower threshold, so the load output is 0 volts.

21 V=2 V2\cdot1\ \text{V}=2\ \text{V}
One-volt loaded chain rowA low loaded node cannot drive the final load.V1 VV2 V2 ohm4 ohmA0 A0 A+-1 V+-1 V+-2 V+-0 V+-0 VgainLOW

Two loaded volts hold the HIGH decision

The gain output is 4 volts, inside the band. With prior HIGH fixed, the output load receives 8 volts.

22 V=4 V2\cdot2\ \text{V}=4\ \text{V}
Two-volt loaded chain rowThe in-band row shows why state history is explicit.V2 VV4 V2 ohm4 ohmA2 A2 A+-2 V+-2 V+-4 V+-4 V+-8 VgainHIGH

Three loaded volts cross the upper threshold

The final source row gives 6 volts at the gain node, above the upper threshold. The output load still sees 8 volts because the same output source and load are fixed.

23 V=6 V2\cdot3\ \text{V}=6\ \text{V}
Three-volt loaded chain rowThe high row closes the full front-end contract.V3 VV6 V2 ohm4 ohmA2 A2 A+-3 V+-3 V+-6 V+-4 V+-8 VgainHIGH