AUTOMATA THEORY: Find a Turing machine that computes the remainder of its input when divided by 3 whileeach number is represented by 1’s.If the remainder is zero, output should be one zero on the tape.If the remainder is greater than zero, output should start with one zero following by theremainder.For example, an input tape containing the number 8:Input: B11111111B (B represents blank)executing should leave the number 2 on the tape, because 2 is the remainder of 8 whendivided by 3. Output: 011

C++ Programming: From Problem Analysis to Program Design
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Publisher:D. S. Malik
Chapter15: Recursion
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AUTOMATA THEORY: Find a Turing machine that computes the remainder of its input when divided by 3 while
each number is represented by 1’s.
If the remainder is zero, output should be one zero on the tape.
If the remainder is greater than zero, output should start with one zero following by the
remainder.
For example, an input tape containing the number 8:
Input: B11111111B (B represents blank)
executing should leave the number 2 on the tape, because 2 is the remainder of 8 when
divided by 3. Output: 011

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