SECTION 02 / 8

From Transistors to Chips, and Moore's Law

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Start here A modern phone chip has billions of transistors. That’s more tiny switches than there are people on Earth, packed into something smaller than your fingernail. No human can design billions of switches one by one. So how is it done?

Building big things from small blocks

Small blocks join to make bigger blocks, again and again.
Small blocks join to make bigger blocks, again and again.
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Zooming into a phone

Engineers never design billions of switches one at a time. They build in levels, like LEGO:

Level Made of Roughly how many inside
Transistor One tiny switch 1
Gate (AND, OR, NOT…) A few transistors 2–8 transistors
Cell / small block A group of gates 2–16 gates
Module (adder, memory block…) Many cells thousands of transistors
Chip (IC) Many modules millions to billions of transistors
Circuit board (PCB) Several chips about 8–16 chips
Device (phone) Boards, screen, battery about 8–10 chips/boards

At each level, you only need to know what a block does, not every switch inside it. This trick is called abstraction: hide the details, use the block.

Like toy bricks: small blocks make bigger blocks, and you use each block by what it does.
Like toy bricks: small blocks make bigger blocks, and you use each block by what it does.
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Build big from small blocks

Putting billions of transistors on one chip is called VLSI (Very Large-Scale Integration). In simple words: managing billions of transistors.

Moore’s Law

In 1965, Gordon Moore (who later co-founded Intel) noticed a pattern:

The number of transistors that fit on a chip keeps doubling at a steady rate.

  • In his 1965 paper, “Cramming more components onto integrated circuits”, he said it doubled every year.
  • In 1975 he changed this to about every two years, and that’s the version people remember.
Transistors per chip, from about 2,300 in 1971 to tens of billions today. Each step up the scale is 10 times more.
Transistors per chip, from about 2,300 in 1971 to tens of billions today. Each step up the scale is 10 times more.
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Moore’s Law

How fast is “doubling every two years”?

  • After 2 years: 2×
  • After 10 years: 2⁵ = 32×
  • After 20 years: 2¹⁰ = 1,024×, about a thousand times more

That’s why your phone today is far more powerful than a room-sized computer from the 1960s.

A short history of shrinking chips

Year Milestone
1947 First transistor (Bell Labs; it later won the Nobel Prize)
1954 First silicon transistor
1963 CMOS logic invented (the kind used in almost all chips today)
Late 1960s–1970s First commercial CMOS chips; used in digital watches because they use very little power
1971 Intel 4004, the first single-chip microprocessor: about 2,300 transistors
2020s The biggest chips have tens of billions of transistors, more than the number of people on Earth

In one line: Engineers build huge chips level by level (transistor → gate → module → chip → board → device), and Moore’s Law says the number of transistors on a chip has doubled about every two years. Exam words: transistor, gate, module, integrated circuit (IC), PCB, abstraction, VLSI, Moore’s Law, Gordon Moore, Intel, doubling, CMOS, microprocessor.


How to solve: Moore’s Law questions (a True/False on this comes in almost every end-term)

Spot it: “A chip has X transistors today. According to Moore’s Law, will it have Y after T years?”

Steps:

  1. How many times bigger? Y ÷ X.
  2. How many doublings is that? Find n with 2n=Y2^{n} = Y ÷ X.
  3. Each doubling takes 2 years, so the time = 2n years.
  4. Compare with T.

Worked example: 2 million today → 32 million in 7 years? True or false?

  1. 32 ÷ 2 = 16
  2. 16 = 2⁴ → 4 doublings
  3. 4 × 2 = 8 years
  4. The question says 7 → FALSE. (With 8 years it would be TRUE; with 4 years, FALSE.)

Trap 1: Moore’s Law is about the number of transistors doubling. “The size of transistors doubles every two years” is FALSE: transistors get smaller, which is why more of them fit. Trap 2: use 2 years per doubling (that’s what this course and the exams use), not 1 year.

Try it:
Answer 6 years = 3 doublings → 3 × 2³ = 24 million.

Quick check

What does Moore’s Law say? The number of transistors on a chip doubles at a steady rate, about every two years.
If the number doubles every 2 years, how many times bigger is it after 10 years? 2⁵ = 32 times.
What does “abstraction” mean when building a chip? Using a block by knowing what it does, without worrying about every switch inside it.
Which company did Gordon Moore co-found? Intel (1968).
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