Computer Organization and Design MIPS Edition, Fifth Edition: The Hardware/Software Interface (The Morgan Kaufmann Series in Computer Architecture and Design)
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Chapter 1, Problem 1.10.1E

Explanation of Solution

Given,

The diameter of the wafer is 15cm which costs Rs.12 and includes 84 dies with 0.020defects/cm2.

The diameter of the wafer is 20cm which costs Rs.15 and includes 100 dies with 0.031defects/cm2.

The radius of the wafer can be calculated using the formula r=d2

Substitute, “15” for “d” is given below:

Radius r15cm=152=7.5

The radius of the wafer is 7.5cm.

Substitute, “20” for “d” is given below:

Radius r20cm=202=10

The radius of the wafer is 10cm.

The die area of the wafer can be calculated using the formula waferarea=πr2.

Substitute, “3.14” for “π” and “7.5” for “r” is given below:

Waferarea15cm=3.14×(7.5)2=3.14×56.25=176.625

The area of the wafer with 15cm diameter is 176.625cm2.

Substitute, “3.14” for “π” and “10” for “r” is given below:

Waferarea20cm=3.14×(10)2=3.14×100=314

The area of the wafer with 20cm diameter is 314cm2.

The die area of the wafer can be calculated using the following formula is given below:

diearea=waferareadiesperwafer

Substitute, “176.625” for “wafer area” and “84” for “dies for wafer” is given below:

diearea15cm=176.62584=2.10

The die area of the wafer with 15cm is 2.10cm2.

Substitute, “314” for “wafer area” and “100” for “dies for wafer” is given below:

diearea20cm=314100=3

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