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[null,null,null,null,"Welcome !"]
[]
[]
[]
[null,null,"Convert numbers from one notation to another!"]
[]
[]
[null,"For serious experimenting with the Turing Machines you build and run, you'll need to convert from one"]
[null,"notation to another (Binary, Machine State, etc.)  These are explained in Sir Roger Penrose's book"]
[null,"The Emperor's New Mind.  The built-in examples in this Excel file were taken from that book as well."]
[null,"This Excel file will do the conversions for you.  Please click on the picture below to get started."]

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["All of the examples below were taken from:  Penrose, Roger, The Emperor's New Mind(Oxford University Press, 1989)"]
[]
["From page 54: the Turing machine EUC"]
["00R","101R","10100R","1000R","1000R","1110L","1100L","1110L","10010L","100R","00STOP"]
["11L","11L","110R","111R","1010R","1101L","11L","10001L","10001L","11L","10101R"]
[]
["From page 55: example of data that can be used with Turing machine EUC"]
[0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,0,0,0,0]
[]
["From page 54: the Turing machine UN+1"]
["00R","01STOP"]
["11R","11R"]
[]
["From page 54: example of data that can be used with Turing machines UN+1 and UNx2"]
[0,0,0,0,0,1,1,1,1,0,0,0,0,0]
[]
["From page 55: the Turing machine UNx2"]
["00R","101L","110R","01STOP","1011L","101L"]
["10R","11R","1000R","111R","1001R","1011L"]
[]
["From pages 60 and 68: the Turing machine XN+1"]
["00R","00R","110L","01STOP","1011L","1100R","00R","111R"]
["11R","101R","101R","1000L","1001L","101R","1111R","1110R"]
[]
["From page 60: example of data that can be used with Turing machines XN+1 and XNx2"]
[0,0,0,0,1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0,0,0]
[]
["From pages 61 and 68: the Turing machine XNx2"]
["00R","01R","111R","01STOP"]
["10R","100R","00R"]
[]
["From page 59: example of number in Binary notation."]
[1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1]
[]
["From page 59: example of number in Denary notation."]
[1,5,8,3,1,6,9]
[]
["From page 59: example of number in Expanded Binary notation.  (Remember that a number in Expanded Binary notation must end in 110.)"]
[1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0]
[]
["From page 59: another example of number in Binary notation."]
[1,0,0,0,0,1,1,0,1,0,0,0,1,0]
[]
["From page 59: another example of number in Denary notation."]
[8,6,1,0]
[]
["From page 59: another example of number in Expanded Binary notation."]
[1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,1,1,0]
[]
["From page 60: example of number in Binary notation."]
[1,0,1,0,0,1,1,1]
[]
["From page 60: example of number in Denary notation."]
[1,6,7]
[]
["From page 60: example of number in Expanded Binary notation."]
[1,0,0,1,0,0,0,1,0,1,0,1,0,1,1,0]
[]
["From page 60: another example of number in Binary notation."]
[1,0,1,0,1,0,0,0]
[]
["From page 60: another example of number in Denary notation."]
[1,6,8]
[]
["From page 60: another example of number in Expanded Binary notation."]
[1,0,0,1,0,0,1,0,0,0,0,1,1,0]
[]
["From page 69: the number of Turing Machine XN+1 in Binary notation."]
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0]
[]
["From page 69: the number of Turing Machine XN+1 in Denary notation."]
[4,5,0,8,1,3,7,0,4,4,6,1,5,6,3,9,5,8,9,8,2,1,1,3,7,7,5,6,4,3,4,3,7,9,0,8]
[]
["From page 69: the number of Turing Machine UN+1 in Binary notation."]
[1,0,1,0,1,1,0,1,0,1,1,1,1,0,1,0,1,0]
[]
["From page 69: the number of Turing Machine UN+1 in Denary notation."]
[1,7,7,6,4,2]
[]
["From page 69: the number of Turing Machine XNx2 in Denary notation."]
[1,0,3,8,9,7,2,8,1,0,7]
[]
["From page 69: the number of Turing Machine UNx2 in Denary notation."]
[1,4,9,2,9,2,3,4,2,0,9,1,9,8,7,2,0,2,6,9,1,7,5,4,7,6,6,9]
[]
["From pages 93 - 96: the number of a Universal Turing Machine in Binary notation."]
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[]
["From page 74: the number of a Universal Turing Machine in Denary notation."]
[7,2,4,4,8,5,5,3,3,5,3,3,9,3,1,7,5,7,7,1,9,8,3,9,5,0,3,9,6,1,5,7,1,1,2,3,7,9,5,2,3,6,0,6,7,2,5,5,6,5,5,9,6,3,1,1,0,8,1,4,4,7,9,6,6,0,6,5,0,5,0,5,9,4,0,4,2,4,1,0,9,0,3,1,0,4,8,3,6,1,3,6,3,2,3,5,9,3,6,5,6,4,4,4,4,3,4,5,8,3,8,2,2,2,6,8,8,3,2,7,8,7,6,7,6,2,6,5,5,6,1,4,4,6,9,2,8,1,4,1,1,7,7,1,5,0,1,7,8,4,2,5,5,1,7,0,7,5,5,4,0,8,5,6,5,7,6,8,9,7,5,3,3,4,6,3,5,6,9,4,2,4,7,8,4,8,8,5,9,7,0,4,6,9,3,4,7,2,5,7,3,9,9,8,8,5,8,2,2,8,3,8,2,7,7,9,5,2,9,4,6,8,3,4,6,0,5,2,1,0,6,1,1,6,9,8,3,5,9,4,5,9,3,8,7,9,1,8,8,5,5,4,6,3,2,6,4,4,0,9,2,5,5,2,5,5,0,5,8,2,0,5,5,5,9,8,9,4,5,1,8,9,0,7,1,6,5,3,7,4,1,4,8,9,6,0,3,3,0,9,6,7,5,3,0,2,0,4,3,1,5,5,3,6,2,5,0,3,4,9,8,4,5,2,9,8,3,2,3,2,0,6,5,1,5,8,3,0,4,7,6,6,4,1,4,2,1,3,0,7,0,8,8,1,9,3,2,9,7,1,7,2,3,4,1,5,1,0,5,6,9,8,0,2,6,2,7,3,4,6,8,6,4,2,9,9,2,1,8,3,8,1,7,2,1,5,7,3,3,3,4,8,2,8,2,3,0,7,3,4,5,3,7,1,3,4,2,1,4,7,5,0,5,9,7,4,0,3,4,5,1,8,4,3,7,2,3,5,9,5,9,3,0,9,0,6,4,0,0,2,4,3,2,1,0,7,7,3,4,2,1,7,8,8,5,1,4,9,2,7,6,0,7,9,7,5,9,7,6,3,4,4,1,5,1,2,3,0,7,9,5,8,6,3,9,6,3,5,4,4,9,2,2,6,9,1,5,9,4,7,9,6,5,4,6,1,4,7,1,1,3,4,5,7,0,0,1,4,5,0,4,8,1,6,7,3,3,7,5,6,2,1,7,2,5,7,3,4,6,4,5,2,2,7,3,1,0,5,4,4,8,2,9,8,0,7,8,4,9,6,5,1,2,6,9,8,8,7,8,8,9,6,4,5,6,9,7,6,0,9,0,6,6,3,4,2,0,4,4,7,7,9,8,9,0,2,1,9,1,4,4,3,7,9,3,2,8,3,0,0,1,9,4,9,3,5,7,0,9,6,3,9,2,1,7,0,3,9,0,4,8,3,3,2,7,0,8,8,2,5,9,6,2,0,1,3,0,1,7,7,3,7,2,7,2,0,2,7,1,8,6,2,5,9,1,9,9,1,4,4,2,8,2,7,5,4,3,7,4,2,2,3,5,1,3,5,5,6,7,5,1,3,4,0,8,4,2,2,2,2,9,9,8,8,9,3,7,4,4,1,0,5,3,4,3,0,5,4,7,1,0,4,4,3,6,8,6,9,5,8,7,6,4,0,5,1,7,8,1,2,8,0,1,9,4,3,7,5,3,0,8,1,3,8,7,0,6,3,9,9,4,2,7,7,2,8,2,3,1,5,6,4,2,5,2,8,9,2,3,7,5,1,4,5,6,5,4,4,3,8,9,9,0,5,2,7,8,0,7,9,3,2,4,1,1,4,4,8,2,6,1,4,2,3,5,7,2,8,6,1,9,3,1,1,8,3,3,2,6,1,0,6,5,6,1,2,2,7,5,5,5,3,1,8,1,0,2,0,7,5,1,1,0,8,5,3,3,7,6,3,3,8,0,6,0,3,1,0,8,2,3,6,1,6,7,5,0,4,5,6,3,5,8,5,2,1,6,4,2,1,4,8,6,9,5,4,2,3,4,7,1,8,7,4,2,6,4,3,7,5,4,4,4,2,8,7,9,0,0,6,2,4,8,5,8,2,7,0,9,1,2,4,0,4,2,2,0,7,6,5,3,8,7,5,4,2,6,4,4,5,4,1,3,3,4,5,1,7,4,8,5,6,6,2,9,1,5,7,4,2,9,9,9,0,9,5,0,2,6,2,3,0,0,9,7,3,3,7,3,8,1,3,7,7,2,4,1,6,2,1,7,2,7,4,7,7,2,3,6,1,0,2,0,6,7,8,6,8,5,4,0,0,2,8,9,3,5,6,6,0,8,5,6,9,6,8,2,2,6,2,0,1,4,1,9,8,2,4,8,6,2,1,6,9,8,9,0,2,6,0,9,1,3,0,9,4,0,2,9,8,5,7,0,6,0,0,1,7,4,3,0,0,6,7,0,0,8,6,8,9,6,7,5,9,0,3,4,4,7,3,4,1,7,4,1,2,7,8,7,4,2,5,5,8,1,2,0,1,5,4,9,3,6,6,3,9,3,8,9,9,6,9,0,5,8,1,7,7,3,8,5,9,1,6,5,4,0,5,5,3,5,6,7,0,4,0,9,2,8,2,1,3,3,2,2,2,1,6,3,1,4,1,0,9,7,8,7,1,0,8,1,4,5,9,9,7,8,6,6,9,5,9,9,7,0,4,5,0,9,6,8,1,8,4,1,9,0,6,2,9,9,4,4,3,6,5,6,0,1,5,1,4,5,4,9,0,4,8,8,0,9,2,2,0,8,4,4,8,0,0,3,4,8,2,2,4,9,2,0,7,7,3,0,4,0,3,0,4,3,1,8,8,4,2,9,8,9,9,3,9,3,1,3,5,2,6,6,8,8,2,3,4,9,6,6,2,1,0,1,9,4,7,1,6,1,9,1,0,7,0,1,4,6,1,9,6,8,5,2,3,1,9,2,8,4,7,4,8,2,0,3,4,4,9,5,8,9,7,7,0,9,5,5,3,5,6,1,1,0,7,0,2,7,5,8,1,7,4,8,7,3,3,3,2,7,2,9,6,6,7,8,9,9,8,7,9,8,4,7,3,2,8,4,0,9,8,1,9,0,7,6,4,8,5,1,2,7,2,6,3,1,0,0,1,7,4,0,1,6,6,7,8,7,3,6,3,4,7,7,6,0,5,8,5,7,2,4,5,0,3,6,9,6,4,4,3,4,8,9,7,9,9,2,0,3,4,4,8,9,9,9,7,4,5,5,6,6,2,4,0,2,9,3,7,4,8,7,6,6,8,8,3,9,7,5,1,4,0,4,4,5,1,6,6,5,7,0,7,7,5,0,0,6,0,5,1,3,8,8,3,9,9,1,6,6,8,8,1,4,0,7,2,5,4,5,5,4,4,6,6,5,2,2,2,0,5,0,7,2,4,2,6,2,3,9,2,3,7,9,2,1,1,5,2,5,3,1,8,1,6,2,5,1,2,5,3,6,3,0,5,0,9,3,1,7,2,8,6,3,1,4,2,2,0,0,4,0,6,4,5,7,1,3,0,5,2,7,5,8,0,2,3,0,7,6,6,5,1,8,3,3,5,1,9,9,5,6,8,9,1,3,9,7,4,8,1,3,7,5,0,4,9,2,6,4,2,9,6,0,5,0,1,0,0,1,3,6,5,1,9,8,0,1,8,6,9,4,5,6,3,9,4,9,8]