Convert the following regular expression to NFA:

$(1\backslash$cup $0)00(11)$

b$)$ Show that the below PDA accept the word: aabbbccccc

c$)$ Convert to Chomsky Normal Form the following:

S $->$ CDS $|\backslash$epsi

C $->$ xyz $|\backslash$epsi

D $->$ wD $|$ v