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.
2V−0V→IB=21A
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.
2V−1V→IB=41A
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.