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il 150,51 iv. {S1) v. (S2) vi. All of the above 6. Construct a Turing machine that reads a binary number and converts it to its 1s complement number.
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Answer #1

Designing a Turing machine to convert a binary number into its 1's complement would be easy.

We can have 3 states
   q1 -> converts 1 to 0 and move right OR coverts 0 to 1 and move right
   q2 -> Return to the initial position i.e. the leftmost position of the tape
   qf -> final state
   As you can see q2 is an optional state and can be omitted by you upon you wish

    Q = { q1, q2, qf }
    X = {0, 1}
    ∑ = {0, 1}
    q0 = {q1}
    B = blank symbol
    F = {qf}

Tape alphabet symbol present state 'q1' present state 'q2'
0 1Rq1 0Lq2
1 0Rq1 1Lq2
B BLq2 BRqf
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