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@etale
Created June 27, 2011 09:21
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b, B, kB, MB, GB, TB and PB
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\begin{array}{rcrcrcrclcrcr}
& & & & \mathrm{b} &=& \log 2 &=& e^{ \log\log 2} &=& -0.3665\cdots\ \mathrm{X}&=& 0.6931\cdots\\
& & \mathrm{B} &=& 2^3 \ \mathrm{b} &=& 2^3 \log 2 &=& e^{3 \log 2 + \log\log 2} &=& 1.7129\cdots\ \mathrm{X}&=& 5.5451\cdots\\
\mathrm{kB} &=& 2^{10} \ \mathrm{B} &=& 2^{13} \ \mathrm{b} &=& 2^{13} \log 2 &=& e^{13 \log 2 + \log\log 2} &=& 8.6444\cdots\ \mathrm{X}&=& 5678.2617\cdots\\
\mathrm{MB} &=& 2^{20} \ \mathrm{B} &=& 2^{23} \ \mathrm{b} &=& 2^{23} \log 2 &=& e^{23 \log 2 + \log\log 2} &=& 15.5758\cdots\ \mathrm{X}&=& 5814539.9840\cdots\\
\mathrm{GB} &=& 2^{30} \ \mathrm{B} &=& 2^{33} \ \mathrm{b} &=& 2^{33} \log 2 &=& e^{33 \log 2 + \log\log 2} &=& 22.5073\cdots\ \mathrm{X}& &\\
\mathrm{TB} &=& 2^{40} \ \mathrm{B} &=& 2^{43} \ \mathrm{b} &=& 2^{43} \log 2 &=& e^{43 \log 2 + \log\log 2} &=& 29.4388\cdots\ \mathrm{X}& &\\
\mathrm{PB} &=& 2^{50} \ \mathrm{B} &=& 2^{53} \ \mathrm{b} &=& 2^{53} \log 2 &=& e^{53 \log 2 + \log\log 2} &=& 36.3702\cdots\ \mathrm{X}& &\\
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