"दो की घात": अवतरणों में अंतर

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पंक्ति 17:
==कंप्यूटर विज्ञान==
==दो की प्रथम 96 घात==
{| class="wikitable" style="text-align:center"
|- style="background:#e9e9e9;"
|'''2<sup>0</sup>''' || '''=''' ||align="right"| '''[[एक|1]]'''
|bgcolor="white" rowspan=16|
|'''2<sup>16</sup>''' || '''=''' ||align="right"| '''65,536'''
|bgcolor="white" rowspan=16|
|'''2<sup>32</sup>''' || '''=''' ||align="right"| '''4,294,967,296'''
|bgcolor="white" rowspan=16|
|'''2<sup>48</sup>''' || '''=''' ||align="right"| '''281,474,976,710,656'''
|bgcolor="white" rowspan=16|
|'''2<sup>64</sup>''' || '''=''' ||align="right"| '''18,446,744,073,709,551,616'''
|bgcolor="white" rowspan=16|
|'''2<sup>80</sup>''' || '''=''' ||align="right"| '''1,208,925,819,614,629,174,706,176'''
|bgcolor="white" rowspan=16|
|'''2<sup>96</sup>''' || '''=''' ||align="right"| '''79,228,163,514,264,337,593,543,950,336'''
|bgcolor="white" rowspan=16|
|-----
|2<sup>1</sup> || = ||align="right"| [[२|2]]
|2<sup>17</sup> || = ||align="right"| 131,072
|2<sup>33</sup> || = ||align="right"| 8,589,934,592
|2<sup>49</sup> || = ||align="right"| 562,949,953,421,312
|2<sup>65</sup> || = ||align="right"| 36,893,488,147,419,103,232
|2<sup>81</sup> || = ||align="right"| 2,417,851,639,229,258,349,412,352
|-----
|2<sup>2</sup> || = ||align="right"| [[४|4]]
|2<sup>18</sup> || = ||align="right"| 262,144
|2<sup>34</sup> || = ||align="right"| 17,179,869,184
|2<sup>50</sup> || = ||align="right"| 1,125,899,906,842,624
|2<sup>66</sup> || = ||align="right"| 73,786,976,294,838,206,464
|2<sup>82</sup> || = ||align="right"| 4,835,703,278,458,516,698,824,704
|-----
|2<sup>3</sup> || = ||align="right"| [[८|8]]
|2<sup>19</sup> || = ||align="right"| 524,288
|2<sup>35</sup> || = ||align="right"| 34,359,738,368
|2<sup>51</sup> || = ||align="right"| 2,251,799,813,685,248
|2<sup>67</sup> || = ||align="right"| 147,573,952,589,676,412,928
|2<sup>83</sup> || = ||align="right"| 9,671,406,556,917,033,397,649,408
|-----
|'''2<sup>4</sup>''' || '''=''' ||align="right"| '''[[१६|16]]'''
|'''2<sup>20</sup>''' || '''=''' ||align="right"| '''1,048,576'''
|'''2<sup>36</sup>''' || '''=''' ||align="right"| '''68,719,476,736'''
|'''2<sup>52</sup>''' || '''=''' ||align="right"| '''4,503,599,627,370,496'''
|'''2<sup>68</sup>''' || '''=''' ||align="right"| '''295,147,905,179,352,825,856'''
|'''2<sup>84</sup>''' || '''=''' ||align="right"| '''19,342,813,113,834,066,795,298,816'''
|-----
|2<sup>5</sup> || = ||align="right"| [[३२|32]]
|2<sup>21</sup> || = ||align="right"| 2,097,152
|2<sup>37</sup> || = ||align="right"| 137,438,953,472
|2<sup>53</sup> || = ||align="right"| 9,007,199,254,740,992
|2<sup>69</sup> || = ||align="right"| 590,295,810,358,705,651,712
|2<sup>85</sup> || = ||align="right"| 38,685,626,227,668,133,590,597,632
|-----
|2<sup>6</sup> || = ||align="right"| [[६४|64]]
|2<sup>22</sup> || = ||align="right"| 4,194,304
|2<sup>38</sup> || = ||align="right"| 274,877,906,944
|2<sup>54</sup> || = ||align="right"| 18,014,398,509,481,984
|2<sup>70</sup> || = ||align="right"| 1,180,591,620,717,411,303,424
|2<sup>86</sup> || = ||align="right"| 77,371,252,455,336,267,181,195,264
|-----
|2<sup>7</sup> || = ||align="right"| [[१२८|128]]
|2<sup>23</sup> || = ||align="right"| 8,388,608
|2<sup>39</sup> || = ||align="right"| 549,755,813,888
|2<sup>55</sup> || = ||align="right"| 36,028,797,018,963,968
|2<sup>71</sup> || = ||align="right"| 2,361,183,241,434,822,606,848
|2<sup>87</sup> || = ||align="right"| 154,742,504,910,672,534,362,390,528
|-----
|- style="background:#e9e9e9;"
|'''2<sup>8</sup>''' || '''=''' ||align="right"| '''[[२५६|256]]'''
|'''2<sup>24</sup>''' || '''=''' ||align="right"| '''16,777,216'''
|'''2<sup>40</sup>''' || '''=''' ||align="right"| '''1,099,511,627,776'''
|'''2<sup>56</sup>''' || '''=''' ||align="right"| '''72,057,594,037,927,936'''
|'''2<sup>72</sup>''' || '''=''' ||align="right"| '''4,722,366,482,869,645,213,696'''
|'''2<sup>88</sup>''' || '''=''' ||align="right"| '''309,485,009,821,345,068,724,781,056'''
|-----
|2<sup>9</sup> || = ||align="right"| 512
|2<sup>25</sup> || = ||align="right"| 33,554,432
|2<sup>41</sup> || = ||align="right"| 2,199,023,255,552
|2<sup>57</sup> || = ||align="right"| 144,115,188,075,855,872
|2<sup>73</sup> || = ||align="right"| 9,444,732,965,739,290,427,392
|2<sup>89</sup> || = ||align="right"| 618,970,019,642,690,137,449,562,112
|-----
|2<sup>10</sup> || = ||align="right"|1,024
|2<sup>26</sup> || = ||align="right"| 67,108,864
|2<sup>42</sup> || = ||align="right"| 4,398,046,511,104
|2<sup>58</sup> || = ||align="right"| 288,230,376,151,711,744
|2<sup>74</sup> || = ||align="right"| 18,889,465,931,478,580,854,784
|2<sup>90</sup> || = ||align="right"| 1,237,940,039,285,380,274,899,124,224
|-----
|2<sup>11</sup> || = ||align="right"| 2,048
|2<sup>27</sup> || = ||align="right"| 134,217,728
|2<sup>43</sup> || = ||align="right"| 8,796,093,022,208
|2<sup>59</sup> || = ||align="right"| 576,460,752,303,423,488
|2<sup>75</sup> || = ||align="right"| 37,778,931,862,957,161,709,568
|2<sup>91</sup> || = ||align="right"| 2,475,880,078,570,760,549,798,248,448
|-----
|'''2<sup>12</sup>''' || '''=''' ||align="right"| '''4,096'''
|'''2<sup>28</sup>''' || '''=''' ||align="right"| '''268,435,456'''
|'''2<sup>44</sup>''' || '''=''' ||align="right"| '''17,592,186,044,416'''
|'''2<sup>60</sup>''' || '''=''' ||align="right"| '''1,152,921,504,606,846,976'''
|'''2<sup>76</sup>''' || '''=''' ||align="right"| '''75,557,863,725,914,323,419,136'''
|'''2<sup>92</sup>''' || '''=''' ||align="right"| '''4,951,760,157,141,521,099,596,496,896'''
|-----
|2<sup>13</sup> || = ||align="right"| 8,192
|2<sup>29</sup> || = ||align="right"| 536,870,912
|2<sup>45</sup> || = ||align="right"| 35,184,372,088,832
|2<sup>61</sup> || = ||align="right"| 2,305,843,009,213,693,952
|2<sup>77</sup> || = ||align="right"| 151,115,727,451,828,646,838,272
|2<sup>93</sup> || = ||align="right"| 9,903,520,314,283,042,199,192,993,792
|-----
|2<sup>14</sup> || = ||align="right"| 16,384
|2<sup>30</sup> || = ||align="right"| 1,073,741,824
|2<sup>46</sup> || = ||align="right"| 70,368,744,177,664
|2<sup>62</sup> || = ||align="right"| 4,611,686,018,427,387,904
|2<sup>78</sup> || = ||align="right"| 302,231,454,903,657,293,676,544
|2<sup>94</sup> || = ||align="right"| 19,807,040,628,566,084,398,385,987,584
|-----
|2<sup>15</sup> || = ||align="right"| 32,768
|2<sup>31</sup> || = ||align="right"| 2,147,483,648
|2<sup>47</sup> || = ||align="right"| 140,737,488,355,328
|2<sup>63</sup> || = ||align="right"| 9,223,372,036,854,775,808
|2<sup>79</sup> || = ||align="right"| 604,462,909,807,314,587,353,088
|2<sup>95</sup> || = ||align="right"| 39,614,081,257,132,168,796,771,975,168
|}
यहाँ यह देखा जा सकता है कि प्रथम व्यंजक का अन्तिम अंक &nbsp;2 से आरम्भ होता है और उसके पश्चात आवर्त रूप से&nbsp;4, और उसके बाद चक्रीय क्रम में 2–4–8–6–,
 
==1024 की घात==
2<sup>10</sup> की कुछ घात जो 1000 से थोड़ी अधिक हैं: