8-Bit HIFF

The 8-Bit Hierarchical If-and-only-if Function, Its Quotient Graph and Complete Genotype-to-Phenotype Map

The 8-bit HIFF

Label

Genotype

8

0

1

0

1

0

1

0

1

8

0

1

0

1

0

1

1

0

8

0

1

0

1

1

0

0

1

8

0

1

0

1

1

0

1

0

8

0

1

1

0

0

1

0

1

8

0

1

1

0

0

1

1

0

8

0

1

1

0

1

0

0

1

8

0

1

1

0

1

0

1

0

8

1

0

0

1

0

1

0

1

8

1

0

0

1

0

1

1

0

8

1

0

0

1

1

0

0

1

8

1

0

0

1

1

0

1

0

8

1

0

1

0

0

1

0

1

8

1

0

1

0

0

1

1

0

8

1

0

1

0

1

0

0

1

8

1

0

1

0

1

0

1

0

10

0

0

0

1

0

1

0

1

10

0

0

0

1

0

1

1

0

10

0

0

0

1

1

0

0

1

10

0

0

0

1

1

0

1

0

10

0

0

1

0

0

1

0

1

10

0

0

1

0

0

1

1

0

10

0

0

1

0

1

0

0

1

10

0

0

1

0

1

0

1

0

10

0

1

0

0

0

1

0

1

10

0

1

0

0

0

1

1

0

10

0

1

0

0

1

0

0

1

10

0

1

0

0

1

0

1

0

10

0

1

0

1

0

0

0

1

10

0

1

0

1

0

0

1

0

10

0

1

0

1

0

1

0

0

10

0

1

0

1

0

1

1

1

10

0

1

0

1

1

0

0

0

10

0

1

0

1

1

0

1

1

10

0

1

0

1

1

1

0

1

10

0

1

0

1

1

1

1

0

10

0

1

1

0

0

0

0

1

10

0

1

1

0

0

0

1

0

10

0

1

1

0

0

1

0

0

10

0

1

1

0

0

1

1

1

10

0

1

1

0

1

0

0

0

10

0

1

1

0

1

0

1

1

10

0

1

1

0

1

1

0

1

10

0

1

1

0

1

1

1

0

10

0

1

1

1

0

1

0

1

10

0

1

1

1

0

1

1

0

10

0

1

1

1

1

0

0

1

10

0

1

1

1

1

0

1

0

10

1

0

0

0

0

1

0

1

10

1

0

0

0

0

1

1

0

10

1

0

0

0

1

0

0

1

10

1

0

0

0

1

0

1

0

10

1

0

0

1

0

0

0

1

10

1

0

0

1

0

0

1

0

10

1

0

0

1

0

1

0

0

10

1

0

0

1

0

1

1

1

10

1

0

0

1

1

0

0

0

10

1

0

0

1

1

0

1

1

10

1

0

0

1

1

1

0

1

10

1

0

0

1

1

1

1

0

10

1

0

1

0

0

0

0

1

10

1

0

1

0

0

0

1

0

10

1

0

1

0

0

1

0

0

10

1

0

1

0

0

1

1

1

10

1

0

1

0

1

0

0

0

10

1

0

1

0

1

0

1

1

10

1

0

1

0

1

1

0

1

10

1

0

1

0

1

1

1

0

10

1

0

1

1

0

1

0

1

10

1

0

1

1

0

1

1

0

10

1

0

1

1

1

0

0

1

10

1

0

1

1

1

0

1

0

10

1

1

0

1

0

1

0

1

10

1

1

0

1

0

1

1

0

10

1

1

0

1

1

0

0

1

10

1

1

0

1

1

0

1

0

10

1

1

1

0

0

1

0

1

10

1

1

1

0

0

1

1

0

10

1

1

1

0

1

0

0

1

10

1

1

1

0

1

0

1

0

12a

0

0

1

1

0

1

0

1

12a

0

0

1

1

0

1

1

0

12a

0

0

1

1

1

0

0

1

12a

0

0

1

1

1

0

1

0

12a

0

1

0

1

0

0

1

1

12a

0

1

0

1

1

1

0

0

12a

0

1

1

0

0

0

1

1

12a

0

1

1

0

1

1

0

0

12a

1

0

0

1

0

0

1

1

12a

1

0

0

1

1

1

0

0

12a

1

0

1

0

0

0

1

1

12a

1

0

1

0

1

1

0

0

12a

1

1

0

0

0

1

0

1

12a

1

1

0

0

0

1

1

0

12a

1

1

0

0

1

0

0

1

12a

1

1

0

0

1

0

1

0

12c

0

0

0

1

0

1

1

1

12c

0

0

0

1

1

0

1

1

12c

0

0

0

1

1

1

0

1

12c

0

0

0

1

1

1

1

0

12c

0

0

1

0

0

1

1

1

12c

0

0

1

0

1

0

1

1

12c

0

0

1

0

1

1

0

1

12c

0

0

1

0

1

1

1

0

12c

0

1

0

0

0

1

1

1

12c

0

1

0

0

1

0

1

1

12c

0

1

0

0

1

1

0

1

12c

0

1

0

0

1

1

1

0

12c

0

1

1

1

0

0

0

1

12c

0

1

1

1

0

0

1

0

12c

0

1

1

1

0

1

0

0

12c

0

1

1

1

1

0

0

0

12c

1

0

0

0

0

1

1

1

12c

1

0

0

0

1

0

1

1

12c

1

0

0

0

1

1

0

1

12c

1

0

0

0

1

1

1

0

12c

1

0

1

1

0

0

0

1

12c

1

0

1

1

0

0

1

0

12c

1

0

1

1

0

1

0

0

12c

1

0

1

1

1

0

0

0

12c

1

1

0

1

0

0

0

1

12c

1

1

0

1

0

0

1

0

12c

1

1

0

1

0

1

0

0

12c

1

1

0

1

1

0

0

0

12c

1

1

1

0

0

0

0

1

12c

1

1

1

0

0

0

1

0

12c

1

1

1

0

0

1

0

0

12c

1

1

1

0

1

0

0

0

12b

0

0

0

1

0

0

0

1

12b

0

0

0

1

0

0

1

0

12b

0

0

0

1

0

1

0

0

12b

0

0

0

1

1

0

0

0

12b

0

0

1

0

0

0

0

1

12b

0

0

1

0

0

0

1

0

12b

0

0

1

0

0

1

0

0

12b

0

0

1

0

1

0

0

0

12b

0

1

0

0

0

0

0

1

12b

0

1

0

0

0

0

1

0

12b

0

1

0

0

0

1

0

0

12b

0

1

0

0

1

0

0

0

12b

0

1

1

1

0

1

1

1

12b

0

1

1

1

1

0

1

1

12b

0

1

1

1

1

1

0

1

12b

0

1

1

1

1

1

1

0

12b

1

0

0

0

0

0

0

1

12b

1

0

0

0

0

0

1

0

12b

1

0

0

0

0

1

0

0

12b

1

0

0

0

1

0

0

0

12b

1

0

1

1

0

1

1

1

12b

1

0

1

1

1

0

1

1

12b

1

0

1

1

1

1

0

1

12b

1

0

1

1

1

1

1

0

12b

1

1

0

1

0

1

1

1

12b

1

1

0

1

1

0

1

1

12b

1

1

0

1

1

1

0

1

12b

1

1

0

1

1

1

1

0

12b

1

1

1

0

0

1

1

1

12b

1

1

1

0

1

0

1

1

12b

1

1

1

0

1

1

0

1

12b

1

1

1

0

1

1

1

0

14

0

0

0

1

0

0

1

1

14

0

0

0

1

1

1

0

0

14

0

0

1

0

0

0

1

1

14

0

0

1

0

1

1

0

0

14

0

0

1

1

0

0

0

1

14

0

0

1

1

0

0

1

0

14

0

0

1

1

0

1

0

0

14

0

0

1

1

0

1

1

1

14

0

0

1

1

1

0

0

0

14

0

0

1

1

1

0

1

1

14

0

0

1

1

1

1

0

1

14

0

0

1

1

1

1

1

0

14

0

1

0

0

0

0

1

1

14

0

1

0

0

1

1

0

0

14

0

1

1

1

0

0

1

1

14

0

1

1

1

1

1

0

0

14

1

0

0

0

0

0

1

1

14

1

0

0

0

1

1

0

0

14

1

0

1

1

0

0

1

1

14

1

0

1

1

1

1

0

0

14

1

1

0

0

0

0

0

1

14

1

1

0

0

0

0

1

0

14

1

1

0

0

0

1

0

0

14

1

1

0

0

0

1

1

1

14

1

1

0

0

1

0

0

0

14

1

1

0

0

1

0

1

1

14

1

1

0

0

1

1

0

1

14

1

1

0

0

1

1

1

0

14

1

1

0

1

0

0

1

1

14

1

1

0

1

1

1

0

0

14

1

1

1

0

0

0

1

1

14

1

1

1

0

1

1

0

0

12d

0

0

0

0

0

1

0

1

12d

0

0

0

0

0

1

1

0

12d

0

0

0

0

1

0

0

1

12d

0

0

0

0

1

0

1

0

12d

0

1

0

1

0

0

0

0

12d

0

1

0

1

1

1

1

1

12d

0

1

1

0

0

0

0

0

12d

0

1

1

0

1

1

1

1

12d

1

0

0

1

0

0

0

0

12d

1

0

0

1

1

1

1

1

12d

1

0

1

0

0

0

0

0

12d

1

0

1

0

1

1

1

1

12d

1

1

1

1

0

1

0

1

12d

1

1

1

1

0

1

1

0

12d

1

1

1

1

1

0

0

1

12d

1

1

1

1

1

0

1

0

16

0

0

1

1

0

0

1

1

16

0

0

1

1

1

1

0

0

16

1

1

0

0

0

0

1

1

16

1

1

0

0

1

1

0

0

18a

0

0

0

0

0

1

1

1

18a

0

0

0

0

1

0

1

1

18a

0

0

0

0

1

1

0

1

18a

0

0

0

0

1

1

1

0

18a

0

0

0

1

1

1

1

1

18a

0

0

1

0

1

1

1

1

18a

0

1

0

0

1

1

1

1

18a

0

1

1

1

0

0

0

0

18a

1

0

0

0

1

1

1

1

18a

1

0

1

1

0

0

0

0

18a

1

1

0

1

0

0

0

0

18a

1

1

1

0

0

0

0

0

18a

1

1

1

1

0

0

0

1

18a

1

1

1

1

0

0

1

0

18a

1

1

1

1

0

1

0

0

18a

1

1

1

1

1

0

0

0

18b

0

0

0

0

0

0

0

1

18b

0

0

0

0

0

0

1

0

18b

0

0

0

0

0

1

0

0

18b

0

0

0

0

1

0

0

0

18b

0

0

0

1

0

0

0

0

18b

0

0

1

0

0

0

0

0

18b

0

1

0

0

0

0

0

0

18b

0

1

1

1

1

1

1

1

18b

1

0

0

0

0

0

0

0

18b

1

0

1

1

1

1

1

1

18b

1

1

0

1

1

1

1

1

18b

1

1

1

0

1

1

1

1

18b

1

1

1

1

0

1

1

1

18b

1

1

1

1

1

0

1

1

18b

1

1

1

1

1

1

0

1

18b

1

1

1

1

1

1

1

0

20

0

0

0

0

0

0

1

1

20

0

0

0

0

1

1

0

0

20

0

0

1

1

0

0

0

0

20

0

0

1

1

1

1

1

1

20

1

1

0

0

0

0

0

0

20

1

1

0

0

1

1

1

1

20

1

1

1

1

0

0

1

1

20

1

1

1

1

1

1

0

0

24

0

0

0

0

1

1

1

1

24

1

1

1

1

0

0

0

0

32

0

0

0

0

0

0

0

0

32

1

1

1

1

1

1

1

1

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One thought on “8-Bit HIFF

  1. Pingback: Genotype to Phenotype Tables and Maps Online « Adventures in Machine Intelligence and Intelligent Machines

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