Transistors serve as active control elements essential for amplifying signals and managing circuit operations, which diodes cannot achieve effectively. They enable higher voltage outputs with lower trigger voltages, making them ideal for complex logic circuits in CPUs. Unlike vacuum tubes, transistors are compact, energy-efficient, and have a long lifespan, allowing for the integration of millions on a single chip. While diodes can create logic gates, they fall short in applications requiring voltage amplification and signal integrity. Overall, transistors are fundamental to modern computing due to their versatility and efficiency.