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Powers of Two
by RS  admin@powersoftwo.org : 1024 x 640


1. Powers of Two
This is a start at a web site to collect various concepts from computation, especially algorithms, from my time teaching notes as a professor. Check back later for more content as it is added.
The powers of two are a simple progression whereby one starts at 1. To get the next number, multiply by 2, or just add the number with itself. Continue as desired. This series grows very quickly and has many theoretical and practical consequences.

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4. Powers of 2
Here are the powers of 2 to 80.
20 = 1 ≈ 1 × 100 21 = 2 ≈ 2 × 100 22 = 4 ≈ 4 × 100 23 = 8 ≈ 8 × 100 24 = 16 ≈ 1.6 × 101 25 = 32 ≈ 3.2 × 101 26 = 64 ≈ 6.4 × 101 27 = 128 ≈ 1.3 × 102 28 = 256 ≈ 2.6 × 102 29 = 512 ≈ 5.1 × 102 210 = 1,024 ≈ 1.0 × 103 211 = 2,048 ≈ 2.0 × 103 212 = 4,096 ≈ 4.1 × 103 213 = 8,192 ≈ 8.2 × 103 214 = 16,384 ≈ 1.6 × 104 215 = 32,768 ≈ 3.3 × 104 216 = 65,536 ≈ 6.6 × 104 217 = 131,072 ≈ 1.3 × 105 218 = 262,144 ≈ 2.6 × 105 219 = 524,288 ≈ 5.2 × 105 220 = 1,048,576 ≈ 1.0 × 106 221 = 2,097,152 ≈ 2.1 × 106 222 = 4,194,304 ≈ 4.2 × 106 223 = 8,388,608 ≈ 8.4 × 106 224 = 16,777,216 ≈ 1.7 × 107 225 = 33,554,432 ≈ 3.4 × 107 226 = 67,108,864 ≈ 6.7 × 107 227 = 134,217,728 ≈ 1.3 × 108 228 = 268,435,456 ≈ 2.7 × 108 229 = 536,870,912 ≈ 5.4 × 108 230 = 1,073,741,824 ≈ 1.1 × 109 231 = 2,147,483,648 ≈ 2.1 × 109 232 = 4,294,967,296 ≈ 4.3 × 109 233 = 8,589,934,592 ≈ 8.6 × 109 234 = 17,179,869,184 ≈ 1.7 × 1010 235 = 34,359,738,368 ≈ 3.4 × 1010 236 = 68,719,476,736 ≈ 6.9 × 1010 237 = 137,438,953,472 ≈ 1.4 × 1011 238 = 274,877,906,944 ≈ 2.7 × 1011 239 = 549,755,813,888 ≈ 5.5 × 1011 240 = 1,099,511,627,776 ≈ 1.1 × 1012 241 = 2,199,023,255,552 ≈ 2.2 × 1012 242 = 4,398,046,511,104 ≈ 4.4 × 1012 243 = 8,796,093,022,208 ≈ 8.8 × 1012 244 = 17,592,186,044,416 ≈ 1.8 × 1013 245 = 35,184,372,088,832 ≈ 3.5 × 1013 246 = 70,368,744,177,664 ≈ 7.0 × 1013 247 = 140,737,488,355,328 ≈ 1.4 × 1014 248 = 281,474,976,710,656 ≈ 2.8 × 1014 249 = 562,949,953,421,312 ≈ 5.6 × 1014 250 = 1,125,899,906,842,624 ≈ 1.1 × 1015 251 = 2,251,799,813,685,248 ≈ 2.3 × 1015 252 = 4,503,599,627,370,496 ≈ 4.5 × 1015 253 = 9,007,199,254,740,992 ≈ 9.0 × 1015 254 = 18,014,398,509,481,984 ≈ 1.8 × 1016 255 = 36,028,797,018,963,968 ≈ 3.6 × 1016 256 = 72,057,594,037,927,936 ≈ 7.2 × 1016 257 = 144,115,188,075,855,872 ≈ 1.4 × 1017 258 = 288,230,376,151,711,744 ≈ 2.9 × 1017 259 = 576,460,752,303,423,488 ≈ 5.8 × 1017 260 = 1,152,921,504,606,846,976 ≈ 1.2 × 1018 261 = 2,305,843,009,213,693,952 ≈ 2.3 × 1018 262 = 4,611,686,018,427,387,904 ≈ 4.6 × 1018 263 = 9,223,372,036,854,775,808 ≈ 9.2 × 1018 264 = 18,446,744,073,709,551,616 ≈ 1.8 × 1019 265 = 36,893,488,147,419,103,232 ≈ 3.7 × 1019 266 = 73,786,976,294,838,206,464 ≈ 7.4 × 1019 267 = 147,573,952,589,676,412,928 ≈ 1.5 × 1020 268 = 295,147,905,179,352,825,856 ≈ 2.10 × 1020 269 = 590,295,810,358,705,651,712 ≈ 5.9 × 1020 270 = 1,180,591,620,717,411,303,424 ≈ 1.2 × 1021 271 = 2,361,183,241,434,822,606,848 ≈ 2.4 × 1021 272 = 4,722,366,482,869,645,213,696 ≈ 4.7 × 1021 273 = 9,444,732,965,739,290,427,392 ≈ 9.4 × 1021 274 = 18,889,465,931,478,580,854,784 ≈ 1.9 × 1022 275 = 37,778,931,862,957,161,709,568 ≈ 3.8 × 1022 276 = 75,557,863,725,914,323,419,136 ≈ 7.6 × 1022 277 = 151,115,727,451,828,646,838,272 ≈ 1.5 × 1023 278 = 302,231,454,903,657,293,676,544 ≈ 3.0 × 1023 279 = 604,462,909,807,314,587,353,088 ≈ 6.0 × 1023 280 = 1,208,925,819,614,629,174,706,176 ≈ 1.2 × 1024

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by RS  admin@powersoftwo.org : 1024 x 640