Three signal-frequency rows show the high-pass complement with zero, cutoff, and fast inputs. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Zero hertz is blocked by a high-pass
The cutoff remains 6 hertz. A 0 hertz source gives high-pass ratio 0 and output budget 0.
20⋅0=0
At cutoff the high-pass keeps one half
At 6 hertz, the high-pass ratio is 1/2 and output budget is 10.
20⋅21=10
Twelve hertz passes the high-pass
At 12 hertz, the high-pass ratio is 4/5. The output budget rises to 16.