Teacher Reference

Examples of Other Outputs of the Human Counting Machine

This is what you see after inputting numbers 0, 1, 2, 3, 4, 5, or 11.

• Number 0:

  

  This position corresponds to the number 0. Its secret code is - - - - - (the code is "empty") and its binary expansion, 0.

• Number 1:

  

  This position corresponds to the number 1. Its secret code is 1 and its binary expansion, 1.




• Number 2:
  Start with the final position for number 1.

  

  This position corresponds to the number 2. Its secret code is 2 and its binary expansion, 2.




• Number 3:
  Start with the final position for number 2.

  

  This position corresponds to the number 3. Its secret code is 2, 1 and its binary expansion, 2 + 1.

• Number 4:
  Start with the final position for number 3.

  

  This position corresponds to the number 4. Its secret code is 4 and its binary expansion, 4.




• Number 5:
  Start with the final position for number 4.

  

  This position corresponds to the number 5. Its secret code is 4, 1 and its binary expansion, 4 + 1.




• Number 11:

  

  This position corresponds to the number 11. Its secret code is 8, 2, 1 and its binary expansion 8 + 2 + 1.