Question

Swgle tape Turing Machni wik (a ob)" 1. GEneTE A Za bs sueh thut the ipud aesptf andl ontput is (aa + bb M and m,n aue both EVEN

Answer 1

(a+b)* . it is same as that of a binomial series ( an= a + (^(.) ab +(((.) 2-26 + ... + (... Jabi + bh hele we requeixe an bh e in and on are even. The turing machine for such and care can be as follows (Y. YR) (a, a, L) OCY, 4, 2) Ca, ar (4, LXX,CS Ro More Prisht Right R + More - Move left (Y,Y, R) * Here w,a,,a, 93, 94 are starting estate and an is the * Now let us sew the working twing Machine consisting of states where ao is the final state. first let us taken the aabb. BoBlante spaces & whenever a PM (Teling machine sees a as X and keeps moving towards right à it makes it unit it finds

& again noves left . and then makes it as search of à and so & and on. in ist Bl xal olul BIR y (as d' is found it noves right) L B B 1 x al volo B & Cas t'is found it moves legt) & After all the inputs are marked it checks whether there us & after las x and confiers all as are rarbed and to where all this are masbed. it checks that if there is B(Blart) after last y: