lowing function where x is an integer represented in unary. The value f(x) represented in unary should be on the tape surrounded by blanks after the calculation. Also show some test cases. f(x) = x (mod5)
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- Design a Turing machine that multiplies any +ve number by four. So if tape contains the number 5 (in its binary form) then TM should leave 20 on the tape (in binary form). Basically you need to implement this function: Y = 4XDesign a Turing Machine that takes 2 unary numbers on the tape, where the first number is greater than the second number, and computes and writes a unary number to the tape that is the first number minus the second number.Design a Turing Machine to compute x/3 for given positive integers. x is dividable by 3 and unary notation is used
- Design a Turing machine to compute the x mod y, y>0 function. On entry, the number is represented as a unary number using |. This way, 5 will turn to |||||. When two numbers are inputted, they are placed as unary numbers separated by #. The answer must contain states, with clear instructions on what to do when finding a symbol, namely what state to go to, where to go (Stay, Left, Right) and what symbol to put in a cell. E.g.: q0 If found _, put _, go to q1 and Stay. If found |, put |, go to q0 and Left. q1 If found _, put _, go to q1 and Right If found |, put X, go to q2 and Right. Etc… Feel free to use as many auxiliary symbols as you need. In the end, the program needs to output n '|' symbols without spaces('_') or anything, where n is the result of x mod y. So, the result for input 10 and 7 and output for it would look like this: We input numbers in the machine, and they appear on the Turing machine line like this, every symbol in its cell: Input: ||||||||||#||||||| Once…Design a Multitape Turing Machine for Binary to Unary conversion. Proper explanation with an example. Only correct answers, if you are unsure of answer please dont answer it.Construct a Turing machine that takes strings over the alphabet {a,b} on the tape, and moves the whole string over to the right one cell position. When you're done, the tape should essentially look the same (since it's infinite on both ends…) but you will know (and people who look at your code will know) that in fact you moved the string over by one space to the right. After moving the string over, the turing machine should move to the left-most cell in the string and than go to the HALT state.
- Design a Turing machine that, when started scanning a square on a completely black tape, writes the string abab on the tape and halts scanning the leftmost symbol of this string. Try to design a machine that has no more than four states, q0 through q3.Construct a Turing machine that copies the first three nonblank symbols over the next three blank symbols.Build a turing machine with three tracks that add two binary numbers. Considerate the data is stored in the first two tracks and aligned to the right. The result would be written to the third track which is initially empty. Make the ilustration of the turing machine and please explain all steps of the solution.