6.1 Zweier-Potenzen
| [gesichtete Version] | [gesichtete Version] |
| Zeile 5: | Zeile 5: | ||
:<math> | :<math> | ||
\begin{align} | \begin{align} | ||
2^0 & \quad = \quad 1 \\[.4cm] | 2^{0} & \quad \quad = \quad \quad 1 \\[.4cm] | ||
2^1 & = 2 \\[.4cm] | 2^{1} & \quad = \quad 2 \\[.4cm] | ||
2^2 & = 4 \\[.4cm] | 2^{2} & \quad = \quad 4 \\[.4cm] | ||
2^3 & = 8 \\[.4cm] | 2^{3} & \quad = \quad 8 \\[.4cm] | ||
2^4 & = 16 \\[.4cm] | 2^{4} & \quad = \quad 16 \\[.4cm] | ||
2^5 & = 32 \\[.4cm] | 2^{5} & \quad = \quad 32 \\[.4cm] | ||
2^6 & = 64 \\[.4cm] | 2^{6} & \quad = \quad 64 \\[.4cm] | ||
2^7 & = 128 \\[.4cm] | 2^{7} & \quad = \quad 128 \\[.4cm] | ||
2^8 & = 256 \\[.4cm] | 2^{8} & \quad = \quad 256 \\[.4cm] | ||
2^9 & = 512 \\[.4cm] | 2^{9} & \quad = \quad 512 \\[.4cm] | ||
2^{10} & = 1.024 \\[.4cm] | 2^{10} & \quad = \quad 1.024 \\[.4cm] | ||
2^{11} & = 2.048 \\[.4cm] | 2^{11} & \quad = \quad 2.048 \\[.4cm] | ||
2^{12} & = 4.096 \\[.4cm] | 2^{12} & \quad = \quad 4.096 \\[.4cm] | ||
2^{13} & = 8.192 \\[.4cm] | 2^{13} & \quad = \quad 8.192 \\[.4cm] | ||
2^{14} & = 16.384 \\[.4cm] | 2^{14} & \quad = \quad 16.384 \\[.4cm] | ||
2^{15} & = 32.768 \\[.4cm] | 2^{15} & \quad = \quad 32.768 \\[.4cm] | ||
2^{16} & = 65.536 \\[.4cm] | 2^{16} & \quad = \quad 65.536 \\[.4cm] | ||
2^{17} & = 131.072 \\[.4cm] | 2^{17} & \quad = \quad 131.072 \\[.4cm] | ||
2^{18} & = 262.144 \\[.4cm] | 2^{18} & \quad = \quad 262.144 \\[.4cm] | ||
2^{19} & = 524.288 \\[.4cm] | 2^{19} & \quad = \quad 524.288 \\[.4cm] | ||
2^{20} & = 1.048.576 \\[.4cm] | 2^{20} & \quad = \quad 1.048.576 \\[.4cm] | ||
2^{21} & = 2.097.152 \\[.4cm] | 2^{21} & \quad = \quad 2.097.152 \\[.4cm] | ||
2^{22} & = 4.194.304 \\[.4cm] | 2^{22} & \quad = \quad 4.194.304 \\[.4cm] | ||
2^{23} & = 8.388.608 \\[.4cm] | 2^{23} & \quad = \quad 8.388.608 \\[.4cm] | ||
2^{24} & = 16.777.216 \\[.4cm] | 2^{24} & \quad = \quad 16.777.216 \\[.4cm] | ||
2^{25} & = 33.554.432 \\[.4cm] | 2^{25} & \quad = \quad 33.554.432 \\[.4cm] | ||
2^{26} & = 67.108.864 \\[.4cm] | 2^{26} & \quad = \quad 67.108.864 \\[.4cm] | ||
2^{27} & = 134.217.728 \\[.4cm] | 2^{27} & \quad = \quad 134.217.728 \\[.4cm] | ||
2^{28} & = 268.435.456 \\[.4cm] | 2^{28} & \quad = \quad 268.435.456 \\[.4cm] | ||
2^{29} & = 536.870.912 \\[.4cm] | 2^{29} & \quad = \quad 536.870.912 \\[.4cm] | ||
2^{30} & = 1.073.741.824 \\[.4cm] | 2^{30} & \quad = \quad 1.073.741.824 \\[.4cm] | ||
2^{31} & = 2.147.483.648 \\[.4cm] | 2^{31} & \quad = \quad 2.147.483.648 \\[.4cm] | ||
2^{32} & = 4.294.967.296 \\[.4cm] | 2^{32} & \quad = \quad 4.294.967.296 \\[.4cm] | ||
\end{align} | \end{align} | ||
</math> | </math> | ||
Version vom 13. Februar 2015, 19:04 Uhr
Zweier-Potenzen
![{\displaystyle {\begin{aligned}2^{0}&\quad \quad =\quad \quad 1\\[.4cm]2^{1}&\quad =\quad 2\\[.4cm]2^{2}&\quad =\quad 4\\[.4cm]2^{3}&\quad =\quad 8\\[.4cm]2^{4}&\quad =\quad 16\\[.4cm]2^{5}&\quad =\quad 32\\[.4cm]2^{6}&\quad =\quad 64\\[.4cm]2^{7}&\quad =\quad 128\\[.4cm]2^{8}&\quad =\quad 256\\[.4cm]2^{9}&\quad =\quad 512\\[.4cm]2^{10}&\quad =\quad 1.024\\[.4cm]2^{11}&\quad =\quad 2.048\\[.4cm]2^{12}&\quad =\quad 4.096\\[.4cm]2^{13}&\quad =\quad 8.192\\[.4cm]2^{14}&\quad =\quad 16.384\\[.4cm]2^{15}&\quad =\quad 32.768\\[.4cm]2^{16}&\quad =\quad 65.536\\[.4cm]2^{17}&\quad =\quad 131.072\\[.4cm]2^{18}&\quad =\quad 262.144\\[.4cm]2^{19}&\quad =\quad 524.288\\[.4cm]2^{20}&\quad =\quad 1.048.576\\[.4cm]2^{21}&\quad =\quad 2.097.152\\[.4cm]2^{22}&\quad =\quad 4.194.304\\[.4cm]2^{23}&\quad =\quad 8.388.608\\[.4cm]2^{24}&\quad =\quad 16.777.216\\[.4cm]2^{25}&\quad =\quad 33.554.432\\[.4cm]2^{26}&\quad =\quad 67.108.864\\[.4cm]2^{27}&\quad =\quad 134.217.728\\[.4cm]2^{28}&\quad =\quad 268.435.456\\[.4cm]2^{29}&\quad =\quad 536.870.912\\[.4cm]2^{30}&\quad =\quad 1.073.741.824\\[.4cm]2^{31}&\quad =\quad 2.147.483.648\\[.4cm]2^{32}&\quad =\quad 4.294.967.296\\[.4cm]\end{aligned}}}](https://en.wikipedia.org/api/rest_v1/media/math/render/svg/590593dd1d41fec90351b9926d6803d6526731d8)
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