A Programmable Prototype to Build Turing Machines

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Increment a binary number by 1
2 states
 
 
Decrement a binary number by 1
3 states
 
 
Increment a binary number by 2
3 states
 
 
Decrement a binary number by 2
6 states
 
 
Sum of two alternating binary numbers

7 states
 
 
Product of 2 binary numbers X and Y
X is written every other box
least significant bit on the right
Y : least significant bit on the left

11 states

 
 
Calculation of  3n in binary

Multiply a binary by 11


3 States


 
Calculation of  3n + 1 in binary

4 states
 
Calculation of  3n + 2 in binary

4 states
 
Division by 11
with divisibility test
and suppression of mute 0s.


11 states
































 
Calculation of  5n in binary

Multiply a binary by 101


5 States
 
Calculation of  5n + 1 in binary

6 states
 
Calculation of  5n + 2 in binary

6 states
 
 
Calculation of  5n + 3 in binary

6 states
 
 
Calculation of  5n + 4 in binary

6 states
 
 
Dividing a binary by 101

10 states