Difference between revisions of "Binary system"

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The '''binary system''' is a way of representing numbers in base 2, i.e. using only the digits 0 and 1. The term 'Binary' means ''composed of two parts'' and comes from the Latin, originally meaning "two by two".
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="red">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="orange">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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A number written in the system can be denoted by following it with a subscipt 2, i.e. <sub>2</sub>. Each digit represents the number of a power of 2 in the complete number, similarly to in the [[decimal system]], where each digit represents the number of a power of 10. The power is defined by the number of digits in the number from right to left through the digit, minus 1, e.g. 100<sub>2</sub>, where the digit 1 is the third digit from the right, and thus represents 2<sup>2</sup>, or 4. While it is generally impractical for [[human]] use, it is the mainstay of modern [[computing]].  A binary system is also used in [[electronics]], which commonly uses '''0''' to mean "no voltage is present" '''1''' to mean "a voltage is present".  Binary notation is used in circumstances in which a a thing is in one of two possible conditions and no other condition is possible; the switch is on or the switch is off, the page has data on it or the page has no data.
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="yellow">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="green">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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To increment a binary number, follow this rule:
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="blue">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="indigo">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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#Current digit is the end digit
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="purple">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center><center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="red">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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#Change the current digit
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="orange">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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# If current digit = 1
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="yellow">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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##Then:
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="green">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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###Shift current digit to away from the end digit
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="blue">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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###Go to step 2
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="indigo">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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##Else:
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="purple">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center><center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="red">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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###You're done.
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="orange">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="yellow">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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The first 16 binary digits:
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="green">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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{|style="text-align:center"
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="blue">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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!Decimal!!Colspan=2 |Binary
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="indigo">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|-
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="purple">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center><center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="red">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|width=50px|0
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="orange">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|width=50px align="right"|0
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="yellow">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|width=10px| 
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="green">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|-
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="blue">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
−
|1
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="indigo">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|align="right"|1
+
<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="purple">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center><center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="red">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="orange">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
−
|2
+
<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="yellow">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|align="right"|10
+
<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="green">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="blue">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|3
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<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="indigo">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
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|align="right"|11
+
<center><div style="text-decoration:blink"><big><big><big><big><big><big><big><font color="purple">F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽</font></big></big></big></big></big></big></big></div></center>
−
|-
+
−
|4
+
−
|align="right"|100
+
−
|-
+
−
|5
+
−
|align="right"|101
+
−
|-
+
−
|6
+
−
|align="right"|110
+
−
|-
+
−
|7
+
−
|align="right"|111
+
−
|-
+
−
|8
+
−
|align="right"|1000
+
−
|-
+
−
|9
+
−
|align="right"|1001
+
−
|-
+
−
|10
+
−
|align="right"|1010
+
−
|-
+
−
|11
+
−
|align="right"|1011
+
−
|-
+
−
|12
+
−
|align="right"|1100
+
−
|-
+
−
|13
+
−
|align="right"|1101
+
−
|-
+
−
|14
+
−
|align="right"|1110
+
−
|-
+
−
|15
+
−
|align="right"|1111
+
−
|-
+
−
|16
+
−
|align="right"|10000
+
−
|}
+
−
 
+
−
==See Also==
+
−
* [[Binary Code]]
+
−
* [[Binary Function]]
+
−
* [[Binary Compound]]
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−
 
+
−
== External links ==
+
−
*[http://forums.cisco.com/CertCom/game/binary_game_page.htm?site=celc A binary numbering game]
+
−
*[http://woodgears.ca/marbleadd/index.html= How to make binary numbers]
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−
 
+
−
[[Category:Mathematics]]
+

Revision as of 02:13, September 21, 2011

F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
F̡̬̜̤̗̘͙̥̌͊̓̄͑̈́ͫ̈́͝U̸͇̯̜͎ͧ̅ͬͥ͌́̌̆̽C̷̬͇͚͚͚̖̬̰̰͚̟̣̹͚͍͔̥̒̆̽͆ͣ͑̅̅́͘͜͜K̶̸̨̗͚̳̯̗̝̰̖̣̯̞̤̦̟̖̱̓ͫ̏́̏ͪͫ̄̆͆́͟ ̵̤̭̩͔͓̯̳̳͈̟̟̣͍̖̏ͧ́̂͟ͅͅͅỲ̊ͩ̍ͧ̽
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