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November 2nd, 2018, 12:55 PM  #1 
Member Joined: Oct 2017 From: Rumba Posts: 36 Thanks: 0  Algorithms question help
Can someone give me guidance how to do this question: http://prntscr.com/ldp4l8 
November 2nd, 2018, 02:15 PM  #2 
Senior Member Joined: May 2016 From: USA Posts: 1,250 Thanks: 516 
This is basically just arithmetic. You calculate $\displaystyle \frac{1}{2} * (11 * 10^6)^2 \approx what?$ $\displaystyle \frac{1}{2} * (60 * 10^6)^2 \approx what?$ $(11 * 10^6) * \log_2(11 * 10^6) = (11 * 10^6)\{\log_2(11) + 6\log_2(10)\} = what?$ $(60 * 10^6) * \log_2(60 * 10^6) = (60 * 10^6)\{\log_2(60) + 6\log_2(10)\} = what?$ Then you fill out the rest of the table. Last edited by skipjack; November 3rd, 2018 at 10:49 AM. 
November 3rd, 2018, 08:37 AM  #3  
Member Joined: Oct 2017 From: Rumba Posts: 36 Thanks: 0  Quote:
Would that be right? Last edited by skipjack; November 3rd, 2018 at 10:51 AM.  
November 3rd, 2018, 10:36 AM  #4  
Senior Member Joined: May 2016 From: USA Posts: 1,250 Thanks: 516  Quote:
$\displaystyle 60 * 10^6 = 6 * 10^1 * 10^6 = 6 * 10^{(1 + 6)} = 6 * 10^7 \implies \\ \displaystyle \frac{1}{2} * (60 * 10^6) = \frac{1}{2} * (6 * 10^7) = 3 * 10^7.$ Last edited by skipjack; November 3rd, 2018 at 10:56 AM.  

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