The Future of Computing Power

Moore's Law is the observation that the number of transistors in a dense integrated circuit (IC) doubles about every two years. It was proposed by Gordon Moore, co-founder of Intel, in 1965.

1. The Observation

Initially, Moore observed a doubling every year, but later revised it to every two years. This trend has driven the rapid advancement of digital electronics.

2. Mathematical Representation

If \( N_0 \) is the initial number of transistors and \( t \) is the time in years:

3. Implications

• Processing Speed: More transistors allow for faster processing and more complex calculations.
• Cost Efficiency: As transistor density increases, the cost per transistor decreases significantly.
• Miniaturization: Devices become smaller, lighter, and more power-efficient.