During a speech in 2014, one of Intel’s vice presidents said that, by 2026, the company would make a processor with as many transistors as there are neurons in a human brain. If there are 1.0 × 1011 or (1.0〖×10〗^11) neurons in the human brain, would Moore’s law agree with the vice president’s statement?

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Answer:

number of neurons in the human brain is 100,000,000,000

number of chips in 2026 is 4x2 tothe power of 30 is 4,294,967,298

100,000,000,000,>4,294,967,298

it is not true

Step-by-step explanation:

The Moore's law is a rule of thumb that gives an idea of the processors that a company can expect to produce with time.

Response:

  • Based on Moore's law the vice president's statement predicting the number of transistors in a processor in 2026 is correct.

Detailed reasons for the above response

Based on online search, the minimum transistor count data in 2014 = 1,400,000,000

Moore's Law states that the number of transistors in an integrated circuit is expected to multiply by a factor of 2 every two years.

Mathematically, we have;

  • Pₙ = P₀ × 2ⁿ

Where:

Pₙ = The processing power of a computer in future years

P₀ = Processing power of a computer at the start of the current year

n = The number of years divided by 2

The expected processing power in 2026 is therefore;

n = (2026 - 2014) = 12 ÷ 2 = 6

P₆ = 1,400,000,000 × 2⁶ = 89,600,000,000 = 8.96 × 10¹⁰

The given number of neurons in a human brain = 1.0 × 10¹¹

The difference = 1.0 × 10¹¹ - 8.96 × 10¹⁰ = 1.04 × 10¹⁰

  • The difference is less than 1/8 of the expected transistor count, therefore, the vice president's statement can be taken as correct.

Learn more about Moore's Law here:

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