Can you use Master Theorem to solve this equation Give your

Can you use Master Theorem to solve this equation? Give your explanation. Transform the above equation by using a mapping function N = Z^M, and assume that T(2^M) = T(N) Can you convert the equation in T and N into a function 5 with parameter M? Now solve the equation using Master Theorem. Illustrate Euclid algorithm to find GCD of 2310 and 2016 Can you prove that runtime GCD [a, b] where a > b, is going to be O(|g|b|)? You may use an important conclusion that a mod b

Solution

To complete the program, the state changes throughout the execution of the program on the machine should be thought-about. the subsequent changes, marked in italics, should be aded to our table which might currently be known as a state table:

State   Symbol read   Write instruction   Move instruction   Next state
State 0   Blank   None   None   Stop state
0   Write 1   Move the tape to the right   State zero
1   Write zero   Move the tape to the right   State 0
We assign the previous set of directions to a machine state, in order that the machine can perform those directions once it\'s within the mere state.

After each instruction, we tend to additionally specify a state for the machine to transition to. within the example, the machine is redirected back to its original state, State 0, to repeat the read-write-nove sequence, unless a blank image is browse. once the machine reads a blank image, the machine is directed to a stop state and therefore the program terminates.

Finite state machines

Even though it appears silly to try to to therefore, let\'s currently add an extra state to our program that reverts the already inverted bits \"1 one zero\" back from \"0 0 one\" to \"1 1 0\". Below is that the updated table, with changes listed in italics. The computing machine currently acts sort of a finite state machine with 2 states—these square measure known as three-symbol, two-state Alan Turing machines.

State   Symbol read   Write instruction   Move instruction   Next state
State 0   Blank   Write blank   Move the tape to the left   State one
0   Write one   Move the tape to the right   State 1
1   Write zero   Move the tape to the right   State 0
State 1   Blank   Write blank   Move the tape to the right   Stop state
0   Write one   Move the tape to the left   State 1
1   Write 0   Move the tape to the left   State one
For the write instruction, \"None\" has been modified to \"Write blank\" for uniformity\'s sake (so that solely the machine\'s symbols square measure referred to), and it ought to be noted that they\'re equivalent.