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 model⇒open or closed switch
LOW leaves the path open
With the control switch open, the graph has no complete path through the lamp, so the lamp is off.
LOW⇒open⇒lamp off
HIGH completes the path
With the control switch closed, the graph has a complete path through the lamp, so the lamp is on.
HIGH⇒closed⇒lamp on
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.