2的幂
时间：2020-03-26 18:18:01
从1到1024（2 至 2）2的幂是指符合
在有些情形下，会将
因为2是二进制的底数，因此在常出现二进制的计算机科学中，2的幂也很常见。若将2的幂用二进制表示，会是100…000、0.00…001或是1的形式，类似用十进制表示10的幂（英语：Power of 10）的情形。
表示方法
2 ^ n2 ** npower(2, n)- 2的n次幂
- 2的n次方
与2的幂有关的数字
- 比某一个2的幂小1的素数在数学上被称为梅森素数；例如数字3是最小的梅森素数（
）。
- 比某一个2的幂大1的素数在数学上被称为费马素数；如数字3也是最小的费马素数（
）。
- 一个以2的幂为分母的分数被称为二进有理数。
- 可以表示为连续正整数的和的数被称为礼貌数，这些数则是完全不含2的幂的数。
2的幂的列表（部分）
2的正指数幂
| 2 | = | 1 | 2 | = | 4,096 | 2 | = | 16,777,216 | 2 | = | 68,719,476,736 | 2 | = | 281,474,976,710,656 | 2 | = | 1,152,921,504,606,846,976 | 2 | = | 4,722,366,482,869,645,213,696 | 2 | = | 19,342,813,113,834,066,795,298,816 | 2 | = | 79,228,162,514,264,337,593,540,590,336 | |||||
| 2 | = | 2 | 2 | = | 8,192 | 2 | = | 33,554,432 | 2 | = | 137,438,953,472 | 2 | = | 562,949,953,421,312 | 2 | = | 2,305,843,009,213,693,952 | 2 | = | 9,444,732,965,739,290,427,392 | 2 | = | 38.685,626,227,668,133,590,597,632 | 2 | = | 158,456,325,028,528,675,187,087,900,672 | |||||
| 2 | = | 4 | 2 | = | 16,384 | 2 | = | 67,108,864 | 2 | = | 274,877,906,944 | 2 | = | 1,125,899,906,842,624 | 2 | = | 4,611,686,018,427,387,904 | 2 | = | 18,889,465,931,478,580,854,784 | 2 | = | 77,371,252,455,336,267,181,195,264 | 2 | = | 316,912,650,057,057,350,374,175,081,344 | |||||
| 2 | = | 8 | 2 | = | 32,768 | 2 | = | 134,217,728 | 2 | = | 549,755,813,888 | 2 | = | 2,251,799,813,685,248 | 2 | 9,223,372,036,854,775,808 | 2 | = | 37,778,931,862,957,161,709,568 | 2 | = | 154,742,504,910,672,534,362,390,528 | 2 | = | 633,825,300,114,114,700,748,351,602,688 | ||||||
| 2 | = | 16 | 2 | = | 65,536 | 2 | = | 268,435,456 | 2 | = | 1,099,511,627,776 | 2 | = | 4,503,599,627,370,496 | 2 | = | 18,446,744,073,709,551,616 | 2 | = | 75,557,863,725,914,323,419,136 | 2 | = | 309,485,009,821,345,068,724,781,056 | 2 | = | 1,267,650,600,228,229,401,496,703,205,376 | |||||
| 2 | = | 32 | 2 | = | 131,072 | 2 | = | 536,870,912 | 2 | = | 2,199,023,255,552 | 2 | = | 9,007,199,254,740,992 | 2 | = | 36,893,488,147,419,103,232 | 2 | = | 151,115,727,451,828,646,838,272 | 2 | = | 618,970,019,642,690,137,449,562,112 | 2 | = | 2,535,351,200,456,458,802,993,306,410,752 | |||||
| 2 | = | 64 | 2 | = | 262,144 | 2 | = | 1,073,741,824 | 2 | = | 4,398,046,511,104 | 2 | = | 18,014,398,509,481,984 | 2 | = | 73,786,976,294,838,206,464 | 2 | = | 302,231,454,903,657,293,676,544 | 2 | = | 1,237,940,039,285,380,274,899,124,224 | ||||||||
| 2 | = | 128 | 2 | = | 524,288 | 2 | = | 2,147,483,648 | 2 | = | 8,796,093,022,208 | 2 | = | 36,028,797,018,963,968 | 2 | = | 147,573,952,589,676,412,928 | 2 | = | 604,462,909,817,314,587,353,088 | 2 | = | 2,475,880,078,570,760,549,798,248,448 | ||||||||
| 2 | = | 256 | 2 | = | 1,048,576 | 2 | = | 4,294,967,296 | 2 | = | 17,592,186,044,416 | 2 | = | 72,057,594,037,927,936 | 2 | = | 295,147,905,179,352,825,856 | 2 | = | 1,208,925,819,614,629,174,706,176 | 2 | = | 4,951,760,157,141,521,099,596,496,896 | ||||||||
| 2 | = | 512 | 2 | = | 2,097,152 | 2 | = | 8,589,934,592 | 2 | = | 35,184,372,088,832 | 2 | = | 144,115,188,075,855,872 | 2 | = | 590,295,810,358,705,651,712 | 2 | = | 2,417,851,639,229,258,349,412,352 | 2 | = | 9,903,520,314,283,042,199192,993,792 | ||||||||
| 2 | = | 1,024 | 2 | = | 4,194,304 | 2 | = | 17,179,869,184 | 2 | = | 70,368,744,177,664 | 2 | = | 288,230,376,151,711,744 | 2 | = | 1,180,591,620,717,411,303,424 | 2 | = | 4,835,703,278,458,516,698,824,704 | 2 | 19,807,040,628,566,084,398,385,987,584 | |||||||||
| 2 | = | 2,048 | 2 | = | 8,388,608 | 2 | = | 34,359,738,368 | 2 | = | 140,737,488,355,328 | 2 | = | 576,460,752,303,423,488 | 2 | = | 2,361,183,241,434,822,606,848 | 2 | = | 9,671,406,556,917,033,397,649,408 | 2 | 39,614,081,257,132,168,796,771,975,168 |
- 2 = 2
- 2 = 4
- 2 = 16
- 2 = 256
- 2 = 65,536
- 2 = 4,294,967,296
- 2 = 18,446,744,073,709,551,616
- 2 = 340,282,366,920,938,463,463,374,607,431,768,211,456
- 2 = 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
2的负指数幂
2的首60个负指数幂
2 = 0.5
2 = 0.25
2 = 0.125
2 = 0.0625
2 = 0.03125
2 = 0.015625
2 = 0.0078125
2 = 0.00390625
2 = 0.001953125
2 = 0.0009765625
2 = 0.00048828125
2 = 0.000244140625
2 = 0.0001220703125
2 = 0.00006103515625
2 = 0.000030517578125
2 = 0.0000152587890625
2 = 0.00000762939453125
2 = 0.000003814697265625
2 = 0.0000019073486328125
2 = 0.00000095367431640625
2 = 0.000000476837158203125
2 = 0.0000002384185791015625
2 = 0.00000011920928955078125
2 = 0.000000059604644775390625
2 = 0.0000000298023223876953125
2 = 0.00000001490116119384765625
2 = 0.000000007450580596923828125
2 = 0.0000000037252902984619140625
2 = 0.00000000186264514923095703125
2 = 0.000000000931322574615478515625
2 = 0.0000000004656612873077392578125
2 = 0.00000000023283064365386962890625
2 = 0.000000000116415321826934814453125
2 = 0.0000000000582076609134674072265625
2 = 0.00000000002910383045673370361328125
2 = 0.000000000014551915228366851806640625
2 = 0.0000000000072759576141834259033203125
2 = 0.00000000000363797880709171295166015625
2 = 0.000000000001818989403545856475830078125
2 = 0.0000000000009094947017729282379150390625
2 = 0.00000000000045474735088646411895751953125
2 = 0.000000000000227373675443232059478759765625
2 = 0.0000000000001136868377216160297393798828125
2 = 0.00000000000005684341886080801486968994140625
2 = 0.000000000000028421709430404007434844970703125
2 = 0.0000000000000142108547152020037174224853515625
2 = 0.00000000000000710542735760100185871124267578125
2 = 0.000000000000003552713678800500929355621337890625
2 = 0.0000000000000017763568394002504646778106689453125
2 = 0.00000000000000088817841970012523233890533447265625
2 = 0.000000000000000444089209850062616169452667236328125
2 = 0.0000000000000002220446049250313080847263336181640625
2 = 0.00000000000000011102230246251565404236316680908203125
2 = 0.000000000000000055511151231257827021181583404541015625
2 = 0.0000000000000000277555756156289135105907917022705078125
2 = 0.00000000000000001387778780781445675529539585113525390625
2 = 0.000000000000000006938893903907228377647697925567626953125
2 = 0.0000000000000000034694469519536141888238489627838134765625
2 = 0.00000000000000000173472347597680709441192448139190673828125
2 = 0.000000000000000000867361737988403547205962240695953369140625