A Table of Nonnegative Powers of Two
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http://www.exploringbinary.com/a-table-of-nonnegative-powers-of-two/
Here is a table of the first 65 nonnegative powers of two (from 20 to 264):
| n | 2n |
|---|---|
| 0 | 1 |
| 1 | 2 |
| 2 | 4 |
| 3 | 8 |
| 4 | 16 |
| 5 | 32 |
| 6 | 64 |
| 7 | 128 |
| 8 | 256 |
| 9 | 512 |
| 10 | 1,024 |
| 11 | 2,048 |
| 12 | 4,096 |
| 13 | 8,192 |
| 14 | 16,384 |
| 15 | 32,768 |
| 16 | 65,536 |
| 17 | 131,072 |
| 18 | 262,144 |
| 19 | 524,288 |
| 20 | 1,048,576 |
| 21 | 2,097,152 |
| 22 | 4,194,304 |
| 23 | 8,388,608 |
| 24 | 16,777,216 |
| 25 | 33,554,432 |
| 26 | 67,108,864 |
| 27 | 134,217,728 |
| 28 | 268,435,456 |
| 29 | 536,870,912 |
| 30 | 1,073,741,824 |
| 31 | 2,147,483,648 |
| 32 | 4,294,967,296 |
| 33 | 8,589,934,592 |
| 34 | 17,179,869,184 |
| 35 | 34,359,738,368 |
| 36 | 68,719,476,736 |
| 37 | 137,438,953,472 |
| 38 | 274,877,906,944 |
| 39 | 549,755,813,888 |
| 40 | 1,099,511,627,776 |
| 41 | 2,199,023,255,552 |
| 42 | 4,398,046,511,104 |
| 43 | 8,796,093,022,208 |
| 44 | 17,592,186,044,416 |
| 45 | 35,184,372,088,832 |
| 46 | 70,368,744,177,664 |
| 47 | 140,737,488,355,328 |
| 48 | 281,474,976,710,656 |
| 49 | 562,949,953,421,312 |
| 50 | 1,125,899,906,842,624 |
| 51 | 2,251,799,813,685,248 |
| 52 | 4,503,599,627,370,496 |
| 53 | 9,007,199,254,740,992 |
| 54 | 18,014,398,509,481,984 |
| 55 | 36,028,797,018,963,968 |
| 56 | 72,057,594,037,927,936 |
| 57 | 144,115,188,075,855,872 |
| 58 | 288,230,376,151,711,744 |
| 59 | 576,460,752,303,423,488 |
| 60 | 1,152,921,504,606,846,976 |
| 61 | 2,305,843,009,213,693,952 |
| 62 | 4,611,686,018,427,387,904 |
| 63 | 9,223,372,036,854,775,808 |
| 64 | 18,446,744,073,709,551,616 |
With enough exposure to computers and binary numbers you will likely memorize 20 through 216.
Here’s the same table without commas in the numbers, to make it more convenient to copy and paste one into your code:
| n | 2n |
|---|---|
| 0 | 1 |
| 1 | 2 |
| 2 | 4 |
| 3 | 8 |
| 4 | 16 |
| 5 | 32 |
| 6 | 64 |
| 7 | 128 |
| 8 | 256 |
| 9 | 512 |
| 10 | 1024 |
| 11 | 2048 |
| 12 | 4096 |
| 13 | 8192 |
| 14 | 16384 |
| 15 | 32768 |
| 16 | 65536 |
| 17 | 131072 |
| 18 | 262144 |
| 19 | 524288 |
| 20 | 1048576 |
| 21 | 2097152 |
| 22 | 4194304 |
| 23 | 8388608 |
| 24 | 16777216 |
| 25 | 33554432 |
| 26 | 67108864 |
| 27 | 134217728 |
| 28 | 268435456 |
| 29 | 536870912 |
| 30 | 1073741824 |
| 31 | 2147483648 |
| 32 | 4294967296 |
| 33 | 8589934592 |
| 34 | 17179869184 |
| 35 | 34359738368 |
| 36 | 68719476736 |
| 37 | 137438953472 |
| 38 | 274877906944 |
| 39 | 549755813888 |
| 40 | 1099511627776 |
| 41 | 2199023255552 |
| 42 | 4398046511104 |
| 43 | 8796093022208 |
| 44 | 17592186044416 |
| 45 | 35184372088832 |
| 46 | 70368744177664 |
| 47 | 140737488355328 |
| 48 | 281474976710656 |
| 49 | 562949953421312 |
| 50 | 1125899906842624 |
| 51 | 2251799813685248 |
| 52 | 4503599627370496 |
| 53 | 9007199254740992 |
| 54 | 18014398509481984 |
| 55 | 36028797018963968 |
| 56 | 72057594037927936 |
| 57 | 144115188075855872 |
| 58 | 288230376151711744 |
| 59 | 576460752303423488 |
| 60 | 1152921504606846976 |
| 61 | 2305843009213693952 |
| 62 | 4611686018427387904 |
| 63 | 9223372036854775808 |
| 64 | 18446744073709551616 |
The constants 232 through 263 require 64-bit integers (264 won’t fit in a 64-bit integer). Here’s an example of how to use these large constants in a C program:
unsigned long long po2 = 9223372036854775808ULL; //2^63
The ‘long long’ declaration means 64-bit integer, and the ‘ULL’ suffix means an ‘unsigned long long’ constant.
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