A front-end sampler captures the node voltage left after the source is loaded. 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 input load sets the node voltage

A 12 volt source with 3 ohms inside and 9 ohms at the input gives 9 volts at the node.

12 V/(3 ohm+9 ohm)=1 A12\ \text{V}/(3\ \text{ohm}+9\ \text{ohm}) = 1\ \text{A}
Loaded inputThe input node is a loaded voltage divider.12 V3 ohm9 ohmA1 A1 A+-3 V+-9 Voutputload

The sampler captures the loaded node

With the sample switch closed, the held voltage is the loaded 9 volt node.

Vheld=Vin=9 VV_{\text{held}} = V_{\text{in}} = 9\ \text{V}
Sampled inputThe sample switch captures the loaded node.closed2 FV9 VV9 V+-9 V+-9 V+-9 Vsample