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Difference between revisions of "Powers of 2"

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A power of 2 means a number of the form <math>2^n</math>, in which <math>n</math> is an [[integer]].
 
A power of 2 means a number of the form <math>2^n</math>, in which <math>n</math> is an [[integer]].
  
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==First 43 powers of 2==
+
==First 44 powers of 2==
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<math>2^0=1</math>
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<math>2^0=1 \\
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<math>2^1=2</math>
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2^1=2 \\
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<math>2^2=4</math>
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2^2=4\\
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<math>2^3=8</math>
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2^3=8\\
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<math>2^4=16</math>
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2^4=16\\
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<math>2^5=32</math>
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2^5=32\\
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<math>2^6=64</math>
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2^6=64\\
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<math>2^7=128</math>
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2^7=128\\
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<math>2^8=256</math>
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2^8=256\\
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<math>2^9=512</math>
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2^9=512\\
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<math>2^{10}=1024</math>
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2^{10}=1024\\
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<math>2^{11}=2048</math>
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2^{11}=2048\\
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<math>2^{12}=4096</math>
+
2^{12}=4096\\
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<math>2^{13}=8192</math>
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2^{13}=8192\\
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<math>2^{14}=16384</math>
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2^{14}=16384\\
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<math>2^{15}=32768</math>
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2^{15}=32768\\
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<math>2^{16}=65536</math>
+
2^{16}=65536\\
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<math>2^{17}=131072</math>
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2^{17}=131072\\
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<math>2^{18}=262144</math>
+
2^{18}=262144\\
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<math>2^{19}=524288</math>
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2^{19}=524288\\
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<math>2^{20}=1048576</math>
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2^{20}=1048576\\
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<math>2^{21}=2097152</math>
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2^{21}=2097152\\
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<math>2^{22}=4194304</math>
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2^{22}=4194304\\
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<math>2^{23}=8388608</math>
+
2^{23}=8388608\\
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<math>2^{24}=16777216</math>
+
2^{24}=16777216\\
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<math>2^{25}=33554432</math>
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2^{25}=33554432\\
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<math>2^{26}=67108864</math>
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2^{26}=67108864\\
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<math>2^{27}=134217728</math>
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2^{27}=134217728\\
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<math>2^{28}=268435456</math>
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2^{28}=268435456\\
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<math>2^{29}=536870912</math>
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2^{29}=536870912</math> Contains each of the digits 0-9, except for 4, exactly once.
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<math>2^{30}=1073741824</math>
+
 
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<math>2^{31}=2147483648</math>
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<math>2^{30}=1073741824\\
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<math>2^{32}=4294967296</math>
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2^{31}=2147483648\\
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<math>2^{33}=8589934592</math>
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2^{32}=4294967296\\
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<math>2^{34}=17179869184</math>
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2^{33}=8589934592\\
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<math>2^{35}=34359738368</math>
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2^{34}=17179869184\\
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<math>2^{36}=68719476736</math>
+
2^{35}=34359738368\\
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<math>2^{37}=137438953472</math>
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2^{36}=68719476736\\
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<math>2^{38}=274877906944</math>
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2^{37}=137438953472\\
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<math>2^{39}=549755813888</math>
+
2^{38}=274877906944\\
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<math>2^{40}=1099511627776</math>
+
2^{39}=549755813888\\
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<math>2^{41}=2199023255552</math>
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2^{40}=1099511627776\\
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<math>2^{42}=4398046511104</math>
+
2^{41}=2199023255552\\
 +
2^{42}=4398046511104\\
 +
2^{43}=8796093022208</math>

Latest revision as of 12:17, 20 December 2018

A power of 2 means a number of the form $2^n$, in which $n$ is an integer.

First 44 powers of 2

$2^0=1 \\ 2^1=2 \\ 2^2=4\\ 2^3=8\\ 2^4=16\\ 2^5=32\\ 2^6=64\\ 2^7=128\\ 2^8=256\\ 2^9=512\\ 2^{10}=1024\\ 2^{11}=2048\\ 2^{12}=4096\\ 2^{13}=8192\\ 2^{14}=16384\\ 2^{15}=32768\\ 2^{16}=65536\\ 2^{17}=131072\\ 2^{18}=262144\\ 2^{19}=524288\\ 2^{20}=1048576\\ 2^{21}=2097152\\ 2^{22}=4194304\\ 2^{23}=8388608\\ 2^{24}=16777216\\ 2^{25}=33554432\\ 2^{26}=67108864\\ 2^{27}=134217728\\ 2^{28}=268435456\\ 2^{29}=536870912$ Contains each of the digits 0-9, except for 4, exactly once.

$2^{30}=1073741824\\ 2^{31}=2147483648\\ 2^{32}=4294967296\\ 2^{33}=8589934592\\ 2^{34}=17179869184\\ 2^{35}=34359738368\\ 2^{36}=68719476736\\ 2^{37}=137438953472\\ 2^{38}=274877906944\\ 2^{39}=549755813888\\ 2^{40}=1099511627776\\ 2^{41}=2199023255552\\ 2^{42}=4398046511104\\ 2^{43}=8796093022208$

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