Active coverage comes from active cells, not total cells. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Masked cells reduce active length

Only 3 of the 4 cells are active, so active length is 6 meters.

3×2 m=6 m3\times2\ \text{m}=6\ \text{m}
Cell latticeFinite cells set the detector length.c0c1c2c3total=8 mactive=6 mcellCount=4 countpitch=2 mtotalLength=8 mactiveCells=3 countactiveLength=6 mactiveFraction=3/4 ratio

Active fraction counts cells, not meters twice

The active fraction is 3 out of 4.

factive=3/4f_{\text{active}}=3/4
Cell latticeFinite cells set the detector length.c0c1c2c3total=8 mactive=6 mcellCount=4 countpitch=2 mtotalLength=8 mactiveCells=3 countactiveLength=6 mactiveFraction=3/4 ratio