**Turing machine for the language of all those string in which a is less than b, a**^{m}b^{n, } where a<b

^{m}b

^{n, }where a<b

Explanation of diagram:

Start:

Start of machine operation

From start, there is a,x,r

Read a, write X, move right

From state 2, read a, write a and move right or read Y, write Y, move right.

From state 2, Read B, Write Y, write Y and move right.

**Halt state:**

Halt state is the ending state.

**Figure:** Turing machine for a is less than b