Determine whether $1101$ belongs to the below regular set:

a$)(3pts),(01{)}^{**}(11{)}^{**}(01{)}^{**}$

$(5$ pts$)$ Let $T$ be the Turing machine defined by the five tuples:

$($s$0,0,$ s$1,0,$ R$),($s$0,1,$ s$1,0,$ L$),($s$0,$ B$,$ s$1,1,$ R$),($s$1,0,$ s$2,1,$ R$),($s$1,1,$ s$1,1,$ R$),$

$(s1,B,s2,0,R),$ and $(s2,B,s3,0,R.$ For each of these initial tapes, determine

the final tape when $T$ halts, assuming that $T$ begins in initial position.