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In recent a chip can compute 1.026*1015 operations per 1 sec

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by Max@Math Revolution » Mon Jan 11, 2016 4:18 pm
In recent a chip can compute 1.026*1015 operations per 1 second. How many hours it took the chip to compute 1 million mega-operations (mega-operations=1 million operations)


A. 3*10-5 B. 3*10-6 C. 3*10-7 D. 3*10-8 E. 3*10-9



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by chetan.sharma » Mon Jan 11, 2016 10:16 pm
Max@Math Revolution wrote:In recent a chip can compute 1.026*1015 operations per 1 second. How many hours it took the chip to compute 1 million mega-operations (mega-operations=1 million operations)


A. 3*10-5 B. 3*10-6 C. 3*10-7 D. 3*10-8 E. 3*10-9



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Hi all,
mega-operations=1 million operations
so 1 million mega-operations=10^6 million ops=10^12 ops..

it is given that
1.026*1015 operations per 1 second...
or 1.026*1015*3600 operations per 1 hour..
so 1 op in 1/(1.026*1015*3600)hr..
or 10^12 ops in 10^12/(1.026*1015*3600)hr.= 10^12/3.6*10^6..
3*10^5..
although the answer is not there in choices, A must be written where - means^..
A
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by Max@Math Revolution » Wed Jan 13, 2016 6:28 pm
In recent a chip can compute 1.026*1015 operations per 1 second. How many hours it took the chip to compute 1 million mega-operations (mega-operations=1 million operations)


A. 3*10^-5 B. 3*10^-6 C. 3*10^-7 D. 3*10^-8 E. 3*10^-9

→ From 1.026*10^16:1 sec=1 million mega-operation:n=10^6*10^6:n, it becomes n=10^12/1.026*10^15 sec. That is, 10^12/1.026*10^15 sec=10^12/(1.026*10^15*3,600)hr=3*10^-7 hr. Therefore, the answer is C.
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