The oscilloscope can record logic, voltage and current data. The logic probe is optimized for storing boolean samples, and so should be used instead of the voltage probe when measuring logic.
To collect data, create a new probe component, and attach it to an appropriate point in the circuit. You'll see the output immediately drawn in the oscilloscope. Adding more probes will squash the outputs next to each other - you can reposition these by dragging the arrows on the left of the oscilloscope view, and change their colors via the probe's attributes.
For voltage and current probes, the range of input values can be adjusted in the Item Editor sidebar on the right.
Zooming is controlled by a slider. The scaling is logarithmic; for every few pixels that the slider moves along, the zoom factor will be multiplied by a constant. KTechlab simulates logic to a maximum precision of 1 microsecond, and at maximum zoom level, one microsecond is represented by 8 pixels.
When the scrollbar is dragged to the end, it will remain there as new data is recorded. Otherwise, the position of the scrollbar remains fixed in time. The oscilloscope view can also be moved forwards and backwards by left-clicking and dragging the view. Due to limitations of the underlying widget system, scrolling will be very granular at maximum zoom.
Right-clicking on the oscilloscope view brings up a menu where you can control the number of times the oscilloscope view is updated. This allows for either a smoother display, or reducing CPU usage.