Regulator headroom is the voltage margin between the input minimum and the output plus required dropout, so increasing headroom can consume the same supply margin. With 7 V input minimum and 5 V output, headroom values 1, 2, and 3 V leave margins 1, 0, and -1 V exactly for the ideal regulator gate; real regulators add dropout variation, thermal limits, ripple, load transients, pass-device loss, wiring drops, and voltage/current measurement uncertainty.
The same input minimum can pass, touch, or fail as headroom grows. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.
highlighted = computed this step
Headroom 1 V sets acceptance
Input minimum stays 7 V and output stays 5 V. Headroom 1 V requires 6 V, leaving margin 1 V.
7V−(5V+1V)=1V⇒pass
Headroom 2 V sets acceptance
Input minimum stays 7 V and output stays 5 V. Headroom 2 V requires 7 V, leaving margin 0 V.
7V−(5V+2V)=0V⇒pass
Headroom 3 V sets acceptance
Input minimum stays 7 V and output stays 5 V. Headroom 3 V requires 8 V, leaving margin negative 1 V.