Computer Architecture and Number Conversion Problems
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Problem 1: Calculating Clock Rate
When a program is run on Computer X, 50% of the execution time is CPU time. A better Computer Y reduces the execution time by 20%. It is known that Computer Y has a clock rate of 2 GHz, and it takes Computer Y 10% more clock cycles to execute the program. In addition, Computer Y can only reduce CPU time. What is the clock rate in GHz of Computer X? The answer must have exactly one digit after the decimal point, even if it is zero, e.g. 2.0 or 0.9.
[Clock Rate Y - (Clock Rate Y)(Clock Cycle % Y)] - [Clock Rate Y - (Clock Rate Y)(Clock Cycle % Y)][Computer Y Reduction Time]
2 GHz - (2 GHz)(10%) = 1.8 GHz
1.8 GHz - 1.8 GHz(20%) = 1.44 GHz
Answer: 1.4 GHz
Problem 2: Base-2 Fractional Number Conversion
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