Appendix F. Table of Powers of 2 PLl/S MINUS 1 0 1.0 2 1 0.5 4 2 0.25
8 3 0.125
16 4 0.0625 32 5 0.03125
64 6 0.01562 5
128 7 0.00781 25
256 8 0.00390 625
512 9 0.00195 3125
1,024 10 0.00097 65625 2,048 11 0.00048 82812 4,096 12 0.00024 41406 25
8,192 13 0.00012 20703 125
16,384 14 0.00006 10351 5625
32,768 15 0.00003 05175 78125
65,536 16 0.00001 52587 89062 5
131,072 17 0.00000 76293 94531 25 262,144 18 0.00000 38146 97265 625
524,288 19 0.00000 19073 48632 8125
1,048,576 20 0.00000 09536 74316 40625 2,097,152 21 0.00000 04768 37158 20312 5
4,194,304 22 0.00000 02384 18579 10156 25
8,388,608 23 0.00000 01192 09289 55078 125
16,777,216 24 0.00000 00596 04644 77539 0625
33,554,432 25 0.00000 00298 02322 38769 53125 67,108,864 26 0.00000 00149 01161 19384 76562 5
134,217,728 27 0.00000 00074 50580 59692 38281 25
268,435,456 28 0.00000 00037 25290 29846 19140 625
536,870,912 29 0.00000 00018 62645 14923 09570 3125
1,073,741,824 30 0.00000 00009 31322 57461 54785 15625
2,147,483,648 31 0.00000 00004 65661 28730 77392 57812
4,294,967,296 32 0.00000 00002 32830 64365 38696 28906 25
8,589,934,592 33 0.00000 00001 16415 32182 69348 14453 125
17,179,869,184 34 0.00000 00000 58207 66091 34674 07226 5625
34,359,738,368 35 0.00000 00000 29103 83045 67337 03613 28125
68,719,476,736 36 0.00000 00000 14551 91522 83668 51806 64062 5
137,438,953,472 37 0.00000 00000 07275 95761 41834 25903 32031 25
274,877,906,944 38 0.00000 00000 03637 97880 70917 12951 66015 625
549,755,813,888 39 0.00000 00000 01818 98940 35458 56475 83007 8125
1,099,511.627,776 40 o.ooono 00000 00909 49470 17729 28237 91503 90625
2,199,023,255,552 41 0.00000 00000 00454 74735 08864 6411 8 95751 95312 5
4,398,046,511,104 42 0.00000 00000 00227 37367 54432 32059 47875 97656 25
8,796,093,022.208 43 0.00000 00000 00113 68683 77216 16029 73937 98828 125
17.592.186,044,416 44 0.00000 00000 00056 84341 8B608 08014 86968 99414 0625
35,184,372,088,832 45 0.00000 00000 00028 42170 94304 04007 434B4 49707 03125
70,368.744,177,664 46 0.00000 00000 00014 21 08 5 47152 02003 71742 24853 51562 5
140,737,488,355,328 47 0.00000 00000 00007 10542 73576 01001 85871 12426 75781 25
281,474.976,710,656 48 0.00000 00000 00003 55271 36788 00500 92935 56213 37890 625 562,949,953,421,312 49 0.00000 00000 00001 77635 6B194 00250 46467 78106 68945 3125
1,125.899,906,842,624 50 0.00000 00000 00000 B8817 84197 00125 23233 89053 34472 65625
2,251,799,813,685,248 51 0.00000 00000 00000 44408 92098 50062 61616 94526 67236 32812
4,503,599,627,370,496 52 0.00000 00000 00000 22204 46049 25031 30B08 47263 33618 16406 25
9,007,199,254,740,992 53 0.00000 00000 00000 11102 23024 62515 65404 23631 66809 08203 125 54 0.00000 00000 00000 05551 11512 31257 82702 11 B15 83404 54101 5625
36,028,797,018,963,968 55 O.noooo 00000 00000 02775 55756 15628 91351 05907 91702 27050 78125
72,057,594,037,927,936 56 0.00000 00000 00000 01387 77878 07814 45675 52953 95851 13525 39062 5
144,115,188,075,855,872 57 0.00000 00000 onooo 00693 88939 03907 22837 76476 97925 56762 69531 25 288.230,376,151,711,744 58 0.00000 00000 0000(1 00346 94469 51953 61418 88238 48962 78381 34765 625
576,460,752,303,423,488 59 0.00000 00000 00000 00173 47234 75976 80709 44119 24481 39190 67382 8125
1,152,921,504,606,846,976 60 0.00000 00000 00000 00086 73617 379B8 40354 72059 62240 69595 33691 40625 2,305,843,009,213,693,952 61 0.00000 00000 00000 00043 3680B 6B994 20177 36029 81120 34797 66845 70312 5
4,611,686,018,427,387,904 62 0.00000 ooono 00000 00021 68404 34497 10088 68014 90560 17398 83422 85156 25
9,223,372.036,8S4,775,808 63 0.00000 00000 00000 00010 84202 17248 55044 34007 45280 08699 41711 42578 125 18,446,744,073.709,551,616 64 0.00000 00000 00000 00005 42101 08624 27522 17003 72640 04349 70855 71289 0625 Powers of 2 (Part 1 of 2)
Appendix F. Table of Powers of 2 277

18,446,744,013,709.551,616 liS 73,786,CJ7Ii,-::-94,839,2'.)I),404 f.1S 147,573,952,5BQ,676,412,92B 67 295,147,905,179,352,825,856 6B 69 70 2,361,183,241,434,822,606,848 71 4,722,366,482,809,645,213,696 72 9,444,732,965,739,2qO,427,392 73 74 37,77B,931,862,957,101,709,568 75 75,557,863,725,91lJ.,323,1119,130 70 151,115,727,451,828,646,838,27' 77 302,231,454,903,657,293.676,5lJ.4 78 7CJ l,208,925,B19,614,6'Q,17l1,706.176 80 31 4,B35.703,278,lJ.5B,516,69B,82l1,704 B2 9,671,406,556,917,033.3Q7,6l19,lIOB 83 19,342,813,113,834,066,795,29B,916 84 38,685,626,227,668,133,590,597,632 85 17,371,252,455,336.267,1Bl,195,20ll 80 154,742,504,910,672,53l1,362,390,528 87 309,435,009,821,345,060,724,781,056 88 618,970,019,642,590,137,449,562,112 89 1.237.940,03Q,285,38n,274,B9CJ,12l1,224 90 2.475.880,078,570,71i0,549,798,248,448 91 4.951,760,157,141,521,099,596,496,896 92 9,903,520,J14,283,042,lg9,192,993,792 93 19.807,040.628,566,084,398,385,987,58l1 94 Cl5 79.228,162,514,264,337,593,543,950,336 96 158,456,325,028,528,675,187,087,900,672 97 316,912,650,057,057,350,374,175,801,344 Q8 633.825,300,114,114,700,748,351,602,688 99 1.267.650,600,228,229,401,lI96,703,205,376 100 2,535,301,200,456,lI5R,802,993,406,410,752 101 5,070,602,400,912,917,605,986,812,821,504 102 10.141,204.801.825,835,211,973,625.643,008 103 20.282,409.603,651,670,lI23,947,251.286,015 lOU 105 106 162,259.276,829,213,363,391,578,010.288,128 107 108 109 1.298,074,214.633,706,CJ07,132,624,082.305,024 110 2.596,148.429,267,413,814,265,248,164,610,048 111 5.192.296,858,534,827,628,530,496,329,220,096 112 113 20.769,187,434,139,310,514,121,985.316,880,38l1 114 41,538.374,868,278,621,028,243,970,633,760,768 115 83.0':'6,749,736,557 ,242,056,lI87 ,9 4 1 ,267 ,521,536 116 166.153,499,473,114,484,112,975,882,535,0 4 3,072 117 332.3C6,998.946,228,969,225,Q51,765,070,086,144 118 119 1,329,227.995.784,915,872,903,807,060,280,344.576 120 2,658,455,991,569,831,745,807,614,120.560,689,152 121 5,316.911,983,139,663,491,515,228,241,121,378,304 122 10.633,823,966,279,326.9S3,23C,456,482,242.756,608 123 21,267.647,932,558.653,966,460,312,964,485,513,216 124 42.535,295,965,117.307,932,921,e25,928,971,026,432 125 85.070.S91,730,234.615,865,843,651,A57,942,OS?,Bf.4 126 170.141,183,460,469,231,731,687.303,715,88l1,105,728 127 340.282.366,920,938,463,463,374,607,431,768,211,456 128 Powers of 2 (Part 2 of 2)
278 System/370 Principles of Operation