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8. Order of magnitude estimates a) Assuming you are paying for your Streetman te

ID: 2248860 • Letter: 8

Question

8. Order of magnitude estimates a) Assuming you are paying for your Streetman text by the typed character, calculate the co character (letter). b) Now assume you paid for your laptop (or desktop or smartphone... ndicate which you choose based on the transistor count of the CPU chip inside (Intel or AMD or other), calculate the cost of each transistor. (A Google search may be helpful to get transistor count, use the most up to date information you can find... lexpect everyone to have different answers, I'll compile the data and show it in class.. .to make it easier to do this use the table format below). CPU chip (name) Transistor Count Cost per transistor evice te that you have calculated a worst-case (highest) cost per transistor in this problem. The assu hat the entire cost is the CPU and the rest of the device comes for free.

Explanation / Answer

a-

The streetman and banerjee book contains 624 pages approx.

Each page has an average of 350 letters. And the price of the typed book is 9 dollars.(you can use your price).

So cost of each character is = 9/350×624 = $4.12087 ×10^-5

Or 0.00412 cents per character.

(Note- Also for 4.12 × 10^-3 order of magnitude is -3. Which is the power of 10.)

B-

Suppose you bought a "Intel i5 chip" Laptop for 400 dollars.

It contains nearly 774 million transistors.

So cost of each transistor become

= 400/774×10^6 = 0.51679 ×10^-6 dollars.

Or 0.000051679 cents.

(Note- For 5.1679 ×10^-5 order of magnitude is -5)

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