Changing only open width moves the half-open capture boundary. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Two-second width ends exactly at the arrival and blocks
Open start stays 4 s and arrival stays 6 s. Width 2 s makes end 6 s, so the latch gate is block and output is 0.
4+2=6,6<6
Three-second width includes the same arrival
Open start stays 4 s and arrival stays 6 s. Width 3 s makes end 7 s, so the latch gate is capture and output is 1.
4+3=7,4≤6<7
Four-second width keeps the capture safely inside
Open start stays 4 s and arrival stays 6 s. Width 4 s makes end 8 s, so the latch gate is capture and output is 1.