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    <p>In my own Turing pseudocode:</p> <ol> <li>copy input A0B to Tape 2</li> <li>write 000010000 to Tape 3 <ul> <li>multiply the number on Tape 3 by A from Tape 2 by <ol> <li>starting at the beginning of A </li> <li>writing 0 to Tape 4 <ul> <li>copying number 3 => 4</li> <li>moving forward once on Tape 3 (3++)</li> <li>going to step 3 unless A ends</li> <li>moving answer from Tape 4 to tape 3 </li> </ul></li> </ol></li> <li>decrement the number B on Tape 2 </li> </ul></li> <li>If B on Tape 2 isn't 0, go to step 2</li> <li>Copy the answer from Tape 3 to Tape 1</li> </ol> <p>Here's the turing code that should work (tapes are like pointers, lowercase letters, input tape is <code>i</code>):</p> <pre><code> # At the start for 2^3 # i: 000111011110000 # ^ _start_ -> *a = 0, start2 start2 [*i==0] -> i++, *a++ = 0, *b++ = 0, start4 start2 [*i==1] -> i++, *a++ = 1, start2 start4 [*i==0] -> *b-- = 0, b--, initc start4 [*i==1] -> i++, *b++ = 1, start4 initc -> *c++ = 0, *c++ = 1, *c++ = 1, *c-- = 0, mult # example # i: 00011101111000 # ^ # a: 001110000 # ^ # b: 001111000 # ^ # c: 00011000 # ^ mult[*b==0]: lastcpy mult[*b==1]: b--, *d++ = 0, *d++ = 1, rewa rewa[*a==0]: a++, a++, multcpy rewa[*a==1]: a--, rewa multcpy[*c==1]: c++, multcpy2 multcpy[*c==0]: multcpy3 multcpy2[*a==0]: multcpy multcpy2[*a==1]: *d++ = 1, multcpy2 multcpy3: *d-- = 0, *c = 0, cpydtoc cpydtoc[*d==1]: d--, *c++ = 1, cpydtoc cpydtoc[*d==0]: *c-- = 0, mult lastcpy[*c==1]: *i++ = 1, c--, lastcpy lastcpy[*c==0]: *i = 0, _finish_ # Should end with # i: 00011101111011111111100 # ^ </code></pre> <p>Please check for errors :)</p>
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    1. POHow to create a turing machine that serves as function calculator for x^y
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