Moving the base-emitter drop changes the same fixed input's positive drive. 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-volt drop passes two volts to the base resistor

Input 2 V minus drop 0 V leaves positive drive 2 V, so base current is 1/2 A.

2 V  0 VIB=12 A2\ \text{V}\ -\ 0\ \text{V}\rightarrow I_B={1\over 2}\ \text{A}
Base-drop boundary scanThe base-drive check enforces the cutoff boundary.drop 0 Vinput 2 Vbase 1/2 A

One-volt drop leaves one quarter ampere

Input 2 V minus drop 1 V leaves positive drive 1 V, so base current is 1/4 A.

2 V  1 VIB=14 A2\ \text{V}\ -\ 1\ \text{V}\rightarrow I_B={1\over 4}\ \text{A}
Base-drop boundary scanThe base-drive check enforces the cutoff boundary.input 2 Vdrop 1 Vbase 1/4 A

Two-volt drop reaches the cutoff boundary

Input 2 V minus drop 2 V leaves positive drive 0 V, so base current is 0 A.

2 V  2 VIB=0 A2\ \text{V}\ -\ 2\ \text{V}\rightarrow I_B=0\ \text{A}
Base-drop boundary scanThe base-drive check enforces the cutoff boundary.base 0 Ainput 2 Vdrop 2 V