Final answer:
Transistors can exist in only two states, representing the binary digits 1 and 0, not 10 states as suggested.
Step-by-step explanation:
False: Transistors cannot exist in 10 different states. In digital circuitry, a transistor acts as an on-off switch, meaning it can be in one of two states, not 10. A transistor is either on, allowing current to flow, or off, preventing current from flowing. These two states correlate to the binary code digits of 1 and 0, respectively. The transition from vacuum tubes to transistors significantly advanced the development of computers, as transistors are more compact, efficient, and operate at lower power levels. The ability of integrated circuits to house vast numbers of transistors made computers even more powerful and led to the modern computer revolution.