According to Moore's Law, the ________.

Question

BlackTom AI · Accepted Answer

Gordon Moore observed that the number of transistors that can be placed inexpensively on an integrated circuit grows exponentially over time, which is the core of Moore’s Law.

1) Relevant knowledge points and concepts
- Moore’s Law (1965) states an empirical trend: transistor count on an integrated circuit doubles periodically. Commonly cited doubling interval is ~18 months (original wording evolved from 12 months to the 18-month formulation popularized later).
- Key concepts: transistor density (transistors per unit area), integrated circuit (chip), exponential growth (doubling at regular intervals), and implications (more functionality or lower cost per transistor over time).

2) Step-by-step reasoning
- Read each option and compare to Moore’s Law wording. The law specifically references transistor count (density) on chips and a doubling period.
- Option that exactly matches this wording is correct.

3) Calculations and intermediate steps (showing exponential nature)
- If N0 is initial transistor count per square inch, after t years with a doubling every 18 months (1.5 years) the count is:
  N(t) = N0 * 2^(t / 1.5).
- Annual growth factor = 2^(1 / 1.5) = 2^(2/3) ≈ 1.587 (≈58.7% increase per year).
- Example: after 3 years (t = 3), N(3) = N0 * 2^(3/1.5) = N0 * 2^2 = 4 * N0 (doubles twice in 3 years).

4) Why the correct answer is correct
- The correct option precisely states that the number (density) of transistors per square inch doubles every 18 months, matching the commonly quoted formulation of Moore’s Law.

5) Why the other options are incorrect
- "Price of an integrated chip reduces once in 18 months": Moore’s Law concerns transistor count, not a guarantee of chip price reductions (price per transistor often falls, but the option is misstated).
- "Rate of innovation increases exponentially": Vague and not the specific technical claim Moore made.
- "Performance of each transistor on a square inch of an integrated chip doubles every year": Moore’s Law refers to count/density, not per-transistor performance and the time interval is wrong.
- "Density of a transistor decreases every year": Opposite of Moore’s Law; transistor density increases (not decreases).

6) Conclusion
The correct choice is "number of transistors per square inch on an integrated chip doubles every 18 months," which matches the provided answer.

According to Moore's Law, the ________.单项选择题

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