2的幂

维基百科,自由的百科全书
跳转至: 导航搜索
從1到1024(20 至 210

2的幂是指符合2n型式,而n也是整數的數,也就是底數2指數為整數 n

在有些情形下,會將n限制在正整數及零的範圍內[1],因此2的幂包括1、2以及2自乘多次的乘積[2]

因為2是二進制的底數,因此在常出現二進制的電腦科學中,2的幂也很常見。若將2的幂用二進制表示,會是100…000、0.00…001或是1的形式,類似用十進制表示10的幂英语Power of 10的情形。

表示方法[编辑]

  • 2n
  • 2的n次幂
  • 2的n次方
  • power(2, n)
  • 2 ^ n
  • 2 ** n
  • 2 [3] n

与2的幂有关的数字[编辑]

其他相关[编辑]

2的幂的列表(部分)[编辑]

2n,n∈[0,35], n∈Z

20 = 1 212 = 4,096 224 = 16,777,216
21 = 2 213 = 8,192 225 = 33,554,432
22 = 4 214 = 16,384 226 = 67,108,864
23 = 8 215 = 32,768 227 = 134,217,728
24 = 16 216 = 65,536 228 = 268,435,456
25 = 32 217 = 131,072 229 = 536,870,912
26 = 64 218 = 262,144 230 = 1,073,741,824
27 = 128 219 = 524,288 231 = 2,147,483,648
28 = 256 220 = 1,048,576 232 = 4,294,967,296
29 = 512 221 = 2,097,152 233 = 8,589,934,592
210 = 1,024 222 = 4,194,304 234 = 17,179,869,184
211 = 2,048 223 = 8,388,608 235 = 34,359,738,368
21 = 2
22 = 4
24 = 16
28 = 256
216 = 65,536
232 = 4,294,967,296
264 = 18,446,744,073,709,551,616
2128 = 340,282,366,920,938,463,463,374,607,431,768,211,456
2256 = 115,792,089,237,316,195,423,570,985,008,687,907,853,269,984,665,640,564,039,457,584,007,913,129,639,936.

參考資料[编辑]

  1. ^ Lipschutz, Seymour. Schaum's Outline of Theory and Problems of Essential Computer Mathematics. New York: McGraw-Hill. 1982: 3. ISBN 0-07-037990-4. 
  2. ^ Sewell, Michael J. Mathematics Masterclasses. Oxford: Oxford University Press. 1997: 78. ISBN 0-19-851494-8. 

相關條目[编辑]