A transistor-like control is modeled here only as an ideal switch. 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 controlled switch is still a switch

In this book, a transistor-like control is modeled only as an ideal switch state. Semiconductor gain and biasing are deferred.

control modelopen or closed switch\text{control model} \Rightarrow \text{open or closed switch}
Controlled switch lowA low control leaves the path open.openlampoff

LOW leaves the path open

With the control switch open, the graph has no complete path through the lamp, so the lamp is off.

LOWopenlamp off\text{LOW} \Rightarrow \text{open} \Rightarrow \text{lamp off}
Controlled switch lowA low control leaves the path open.openlampoff

HIGH completes the path

With the control switch closed, the graph has a complete path through the lamp, so the lamp is on.

HIGHclosedlamp on\text{HIGH} \Rightarrow \text{closed} \Rightarrow \text{lamp on}
Controlled switch highA high control completes the path.closedlampon

The control table has two rows

The control signal chooses the switch state. The diagram shows the HIGH row, but the rule also includes the LOW row.

controlswitchlampLOWopenoffHIGHclosedon\begin{array}{c|c|c}\text{control}&\text{switch}&\text{lamp}\\\text{LOW}&\text{open}&\text{off}\\\text{HIGH}&\text{closed}&\text{on}\end{array}
Controlled switch highThe HIGH row is the checked diagram.closedlampon