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Powers of 2 TableView in Landscape mode on
Smartphones. |
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Here is a brief summary
chart illustrating the mathematical powers of two, shown in
binary, decimal, and hexadecimal
notation. |
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The table goes up to the
64th power of two. |
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Line # |
of 2 Expo- nent |
Bit Weight in Decimal |
(Memory Address) |
Address Organization |
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byte (8 lines can count to 255) |
word (16 bits) (if little endian) |
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9 |
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511 |
0000 01FF |
byte (16 lines can count to 65,535) |
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10 |
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1,023 |
0000 03FF |
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11 |
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2,047 |
0000 07FF |
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12 |
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4,095 |
0000 0FFF |
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13 |
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8,191 |
0000 1FFF |
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14 |
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16,383 |
0000 3FFF |
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15 |
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32,767 |
0000 7FFF |
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16 |
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65,535 |
0000 FFFF |
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0001 FFFF |
byte (24 lines can count to 16.7M) |
word (32 bits) (if little endian) |
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0003 FFFF |
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0007 FFFF |
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000F FFFF |
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001F FFFF |
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003F FFFF |
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007F FFFF |
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00FF FFFF |
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25 |
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33,554,431 |
01FF FFFF |
byte (32 lines can count to 4.2B) (4 Giga-bytes) |
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26 |
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67,108,863 |
03FF FFFF |
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27 |
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134,217,727 |
07FF FFFF |
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28 |
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268,435,455 |
0FFF FFFF |
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29 |
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536,870,911 |
1FFF FFFF |
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30 |
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1,073,741,823 |
3FFF FFFF |
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31 |
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7FFF FFFF |
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32 |
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4,294,967,295 |
FFFF FFFF |
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This is the 32-bit machine addressing
limitation, unless double-words or extra bits are used. |
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50 |
60 |
130 - 680 |
120 |
90 |
90 |
70 |
70 |
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Line # |
of 2 Expo- nent |
Bit Weight in Decimal |
(Memory Address) |
Address Organization |
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4,294,967,296 |
8,589,934,591 |
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byte (40 lines)
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word (48 bits) |
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8,589,934,592 |
17,179,869,183 |
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17,179,869,184 |
34,359,738,367 |
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34,359,738,368 |
68,719,476,735 |
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68,719,476,736 |
137,438,953,471 |
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137,438,953,472 |
274,877,906,943 |
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274,877,906,944 |
549,755,813,887 |
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549,755,813,888 |
1,099,511,627,775 |
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41 |
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1,099,511,627,776 |
2,199,023,255,551 |
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byte (48 lines) |
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42 |
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2,199,023,255,552 |
4,398,046,511,103 |
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43 |
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4,398,046,511,104 |
8,796,093,022,207 |
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44 |
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8,796,093,022,208 |
17,592,186,044,415 |
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45 |
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35,184,372,088,831 |
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46 |
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70,368,744,177,663 |
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47 |
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140,737,488,355,327 |
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48 |
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281,474,976,710,655 |
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562,949,953,421,311 |
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Byte (56 lines) |
word (64 bits) |
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1,125,899,906,842,623 |
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2,251,799,813,685,247 |
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4,503,599,627,370,495 |
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9,007,199,254,740,991 |
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18,014,398,509,481,983 |
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36,028,797,018,963,967 |
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72,057,594,037,927,935 |
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57 |
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144,115,188,075,855,871 |
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byte (64 lines) |
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58 |
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288,230,376,151,711,743 |
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59 |
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576,460,752,303,423,487 |
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60 |
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1,152,921,504,606,846,975 |
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61 |
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2,305,843,009,213,693,951 |
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62 |
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4,611,686,018,427,387,903 |
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63 |
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9,223,372,036,854,775,807 (63 lines can count to 9.2 quintillion) |
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64 |
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18,446,744,073,709,551,615 (64 lines can count to 18.4
quintillion)
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50 |
60 |
130 - 680 |
120 |
90 |
90 |
70 |
70 |
DISCLAIMER: |
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This Vaughns Powers-of-Two Table |